Department of Electrical Engineering

                Indian Institute of Technology, Bombay


Syllabii of Post Graduate Courses 




Statistical Signal Analysis


Radar Systems


Digital Signal Processing and Applications


Error Correcting Codes


Fibre Optic Communication


Adaptive Signal Processing


Radiating Systems


Image Processing


Microwave Integrated Circuits




Nonlinear Dynamical Systems


Solid State Microwave Devices and Applications


Control and Computation Laboratory


Electronic Systems Design


Sensors in Instrumentation


CMOS Analog VLSI Design


RF Microelectronics Chip Design


Physics of Transistors


Markov Chains and Queuing Systems


Optimal Control Systems


Bio Sensors and Bio MEMS


Biomedical Instrumentation


Digital Measurement Techniques


Simulation of Circuits and Devices


Applied Linear Algebra in Electrical Engineering


Matrix Computations


Estimation and Identification


Multivariable Control Systems


Finite Fields and their Applications


Digital Protection of Power Systems


Power Electronics I


Power Electronics II


Computer Aided Power System Analysis


Electrical Machine Analysis & Control


Electric Drives I


Power System Dynamics and Control


A First Course in Optimization


Microprocessor Applications in Power Electronics


Application of Power Electronics to Power Systems


Physical Electronics


High Power Semiconductor Devices


System Design


VLSI Technology


VLSI Design


Microelectronics Lab


Power Systems and Power Electronics Lab


Microprocessor Applications in Power Electronics


Foundations of VLSI CAD




Speech Processing


Power System Protection


HVDC Transmission


Switchgear Principles


Introduction to MEMS


Computer Vision


Digital Message Transmission


Artificial Neural Networks


VLSI Design Lab


Communication Networks


Information Theory and Coding


Testing and Verification of VLSI Circuits


Large Sparse Matrix Computations


Embedded Systems Design


Circuit Simulation in Power Electronics


Behavioral Theory of Systems


Advanced Computing for Electrical Engineers


Aids for the Motor and Sensory Disabled


Mixed Signal VLSI Design


 An Introduction to Number Theory and Cryptography


Hardware Description Languages


Restructured Power System


Physics of Nanoelectronics Devices I




Computational Electronmagnetics


Growth and Characterization of Nano-electronic Materials      



Physics of Nanoelectronics Devices II



Design of Experiment /Taguchi Method for Experimental Research


Combinatorial Optimization I


Solid State Devices


Advanced Probability and Random Processes for Engineers



Microelectronics Simulation Lab


Introduction to Stochastic Optimization


Introduction to Stochastic Control



Advanced Communications Network


Advanced Network Analysis


Wireless and Mobile Communications


Advanced Topics in Signal Processing


EE601 Statistical Signal Analysis                                                                 3 0 0 6   ñ


Review   of   probability  theory   and   random   variables: Transformation  (function) of random  variables;  Conditional expectation;


Sequences  of random variables:  convergence  of sequences of random variables.


Stochastic  processes:   wide sense   stationary   processes, orthogonal  increment   processes, Wiener  process, and the Poisson process, KL expansion.


Ergodicity, Mean square continuity, mean  square  derivative and mean square integral of stochastic processes.


Stochastic systems: response of linear dynamic  systems  (e.g.  state  space   or   ARMA   systems)   to    stochastic  inputs; Lyapunov equations; correlational function; power spectral density function; introduction to linear least square estimation, Wiener filtering and Kalman filtering.



A.  Papoulis,  Probability, Random Variables  and  stochastic processes, 2nd Ed., McGraw Hill, 1983.

A.  Larson and B.O. Schubert, Stochastic  Processes,  Vol.I and II, Holden-Day, 1979.

W. Gardener, Stochastic Processes, McGraw Hill, 1986.

EE602  Radar Systems                                                                                                                    3 0 0 6      ñ


Radar theory, different types of radars, Radar signal analysis for range accuracy and resolution.  Radar signal detection and estimation techniques, clutter and noise suppression, propagational characteristics over land and sea.  Electronic countermeasure.



M.I.Skolnik, Introduction to Radar Systems, McGraw Hill, 1980.

D.K.Barton, Modern radar systems analysis, Artech House, 1988.

B,Edde, Radar: Principles, Technology, Applications, Prentice Hall, 1993.


EE603  Digital Signal Processing and Applications                                                 3 0 0 6       ñ


Discrete  Time Signals: Sequences; representation of  signals on orthogonal basis; Sampling and Reconstruction of  signals;


Discrete  systems:  attributes, Z-Transform,  Analysis  of  LSI  systems,  Frequency  Analysis,   Inverse    Systems, Discrete     Fourier   Transform   (DFT),  Fast  Fourier  Transform algorithm, Implementation of Discrete Time Systems.


Design   of  FIR  Digital  filters:  Window   method,   Park-McClellan's method.


Design  of IIR Digital Filters: Butterworth,  Chebyshev   and Elliptic Approximations; Lowpass, Bandpass, Bandstop and High pass filters.


Effect of finite register length in FIR filter design.


Parametric and non-parametric  spectral estimation. Introduction  to  multirate  signal  processing.  Application of DSP to Speech and Radar signal processing.



A.V. Oppenheim and Schafer,  Discrete Time Signal Processing, Prentice Hall, 1989.

John   G.   Proakis  and  D.G.  Manolakis,   Digital   Signal Processing:  Principle,  Algorithms  and   Applications, Prentice Hall, 1997.

L.R.  Rabiner and B. Gold, Theory and Application of  Digital Signal Processing, Prentice Hall, 1992.

J.R.  Johnson,  Introduction to  Digital  Signal  Processing, Prentice Hall, 1992.

D.   J.   DeFatta,   J.  G.  Lucas  and   W.   S.   Hodgkiss, Digital Signal Processing, J Wiley and Sons, Singapore, 1988.


EE605 Error Correcting  Codes                                                                                                                                  3 0 0 6      ñ


Linear  block  codes : Systematic linear  codes  and  optimum decoding  for the binary symmetric channel;  Generator  and Parity   Check  matrices, Syndrome decoding   on   symmetric channels;   Hamming   codes;  Weight  enumerators and  the MacWilliams identities; Perfect codes.


Introduction    to   finite fields   and   finite rings; factorization of (X^n-1) over a finite field; Cyclic Codes.


BCH codes; Idempotents and Mattson-Solomon polynomials; Reed-Solomon codes, Justeen codes, MDS codes, Alterant, Goppa  and generalized  BCH codes; Spectral properties of cyclic  codes.


Decoding  of  BCH  codes:  Berlekamp's  decoding   algorithm, Massey's  minimum shift register synthesis technique and  its relation  to Berlekamp's algorithm. A fast  Berlekamp - Massey algorithm.  


Convolution    codes;    Wozencraft's    sequential  decoding algorithm,    Fann's   algorithm    and    other   sequential decoding    algorithms;    Viterbi     decoding algorithm.



F.J.  MacWilliams  and  N.J.A. Slone,  The  theory  of  error correcting codes, North Holland, 1977.

R.E.  Balahut,  Theory and practice of error  control  codes, Addison Wesley, 1983.  

EE606 Fibre Optic Communication                                                             3 0 0 6         ñ


Introduction to vector nature of light, propagation of light, propagation  of  light in a cylindrical dielectric  rod,  Ray model, wave model.  Different  types of optical fibers, Modal analysis of a  step index fiber.


Signal  degradation  on optical fiber due to  dispersion  and attenuation. Fabrication of fibers and measurement techniques like OTDR.


Optical  sources  - LEDs and Lasers, Photo-detectors  -  pin-detectors, detector responsivity, noise, optical receivers.


Optical  link design - BER calculation, quantum limit,  power panelities.


Optical  switches  -  coupled mode  analysis  of  directional couplers, electro-optic switches.


Nonlinear effects in fiber optic links. Concept of self-phase modulation, group  velocity dispersion  and  solition  based communication.  Optical amplifiers - EDFA,  Raman  amplifier, and WDM systems.



J.Keiser,  Fibre  Optic communication, McGraw-Hill,  2nd  Ed. 1992.

J.E.    Midwinter,  Optical  fibers  for  transmission,  John Wiley, 1979.

T.    Tamir,   Integrated   optics,   (Topics  in Applied Physics Vol.7), Springer-Verlag, 1975.

J.Gowar, Optical communication systems, Prentice Hall  India, 1987.

S.E.   Miller  and  A.G. Chynoweth,  eds., Optical fibres telecommunications, Academic Press, 1979.

G.Agrawal,  Nonlinear fibre optics, Academic Press,  2nd  Ed. 1994.

G. Agrawal, Fiber optic Communication Systems, John Wiley  and sons, New York, 1992

F.C.   Allard,  Fiber  Optics  Handbook  for  engineers and scientists, McGraw Hill, New York (1990).


EE608 Adaptive Signal Processing                                                                                                                                                         3 0 0 6        ñ


Review  of  linear and non-linear estimation  theory. Signal modelling. Optimal  filtering.


Adaptive filtering as an extension  of  the  optimal least  mean  square  error  case Adaptive   algorithms: adaptive  equalization and echo cancellation; adaptive lattice filters. Application to  radar, sonar, geophysics and hydrology, economic processes, communications (spread spectrum techniques).



S. Haykin, Adaptive filter theory, Prentice Hall, 1986.

B.  Widrow  and S.D. Stearns, Adaptive  signal  processing, Prentice Hall, 1984.

EE609 Radiating Systems                                                                3 0 0 6         ñ


Review   of  antenna  theory,  dipoles,  monopole  and  loop antennas,  linear and planar arrays, array synthesis, phased arrays, helical antennas, radiation from apertures,  aperture distribution,  horn and parabolic dish antennas, Yagi  -  Uda and  log-periodic antennas, microstrip antennas  and  arrays, Dielectric Antennas.



J.D. Karus,  Antennas, McGraw Hill, 1988.

C.A.    Balanis, Antenna Theory    - Analysis    and  design, John wiley, 1982.

R.E.  Collin,  Antennas and radiowave  propagation,  McGraw Hill, 1985.

R.C.  Johnson and H. Jasik, Antenna  Engineering  Handbook, McGraw Hill, 1984.

I.J.   Bahl   and   P.   Bhartia, Microstrip antennas, Artech house,1980.

EE610 Image Processing                                                                 3 0 0 6           ñ


Image  representation - Gray scale and colour  Images,  image sampling and quantization.


Two  dimensional orthogonal transforms - DFT, FFT, WHT,  Haar transform, KLT, DCT.


Image enhancement - filters in spatial and frequency domains, histogram-based processing, homomorphic filtering.


Edge  detection - non parametric and model based  approaches, LOG filters, localisation problem.


Image  Restoration  - PSF, circulant and  block  -  circulant matrices, deconvolution, restoration using inverse filtering, Wiener filtering and maximum entropy-based methods.


Mathematical   morphology  -  binary  morphology,   dilation, erosion,  opening and closing, duality relations, gray  scale morphology,  applications  such  as  hit-and-miss  transform, thinning and shape decomposition.


Computer   tomography  -  parallel  beam   projection,   Radon transform,   and  its  inverse,   Back-projection   operator, Fourier-slice  theorem,  CBP and FBP methods, ART,  Fan  beam projection.


Image communication - JPEG, MPEGs and H.26x standards, packet video, error concealment.

Image  texture  analysis - co-occurence matrix, measures  of textures, statistical models for textures.


Misc. topics such as - Hough Transform, boundary detection, chain coding, and segmentation, thresholding methods.



A.  K.  Jain,  Fundamentals  of  digital  image   processing, Prentice Hall of India, 1989.

R.M. Haralick, and L.G. Shapiro, Computer and Robot  Vision, Vol-1, Addison Wesley, Reading, MA, 1992.

R. Jain, R. Kasturi and B.G. Schunck, Machine Vision, McGraw-Hill International Edition, 1995.

W. K. Pratt, Digital image processing, Prentice Hall, 1989.

A. Rosenfold and A. C. Kak, Digital image processing, Vols. 1 and 2, Prentice Hall, 1986.

H.  C.  Andrew  and B. R. Hunt,  Digital  image  restoration, Prentice Hall, 1977

EE611  Microwave Integrated Circuits                                                       2 0 2 6         ñ


Introduction  to  microwave integrated circuits:  Active  and passive components. 


Analysis of microstrip lines: variational method,   conformal  transformation,  numerical  analysis;  losses  in  microstrip lines;   Slot   line and  Coupled lines;  Design   of   power dividers  and  combiners,  directional  couplers,  hybrid  couplers, filters.


Microstrip   lines   on  ferrite  and  garnet  substrates; Isolators   and  circulators;  Lumped  elements   in    MICs.


Technology  of   MICs:  Monolithic   and  hybrid  substrates; thin and thick film technologies,  computer  aided design.



Leo  Young and H. Sobol, Ed. Advances in  Microwaves,  Vol.2, Academic Press Inc., 1974.

B.Bhat and  S. Koul,  Stripline-like transmission lines for MICs, John Wiley, 1989.

T.K.  Ishii,  Handbook  of  Microwave  Technology,  vol.   I, Academic Press, 1995.

EE612 Telematics                                                             3 0 0 6         ñ


Basics of Telephony:  Telephone Network overview;  Subscriber Loop; Signalling in the Telephone Network; Overview of  ISDN, BISDN and ATM Technologies


Circuit  Switching  in Telephone Networks:  Crossbar  switch; Clos  networks; Clos and Slepian-Duguid  theorems;  Recursive construction  of Clos Networks; Time switching, TMS  and  TST switches; Lee and Jacobeus blocking analysis; Routing in R-NB network;  Switch  processor,  Call  processing  and  overload control; Example telephone switches.


Cell  Switching:  Generic  Switch; Input  and  output  queued switches; Shared memory and Shared medium switches,  Crossbar switch,  Complexity and scaling disdvantage of output  queued switches,  Knockout  principle;  Interconnections  for  large switches,   Self   routing   architectures,    Batcher-banyan networks;  Unbufferred  banyan  switches,  Buffered   banyan, Tandem  banyan, Speedup, Parallelism and Channel grouping  toenhance input queued switches;  Concentrators superconcentrators   and  Copy  networks,  Examples  of   ATM switches,  IP  Switching from VC based  fixed  length  packet switches.


Multiplexing  and  Routing  in  Circuit  Switched   Networks: Abstract  System  Models  Erlang  Blocking  Models;  Overflow Models,  Equivalent  Random  Theory,  Haywards  Approxmn  and  Introductory  Non  Poisson Arrival  Processes;  Product  form solution;  Erlang Fixed Point Solution; Techniques to  choose good routes; Alternate Routing;  Dynamic Routing, Least  Busy Alternate Routing;



Joseph  Y. Hui, Switching and Traffic Theory  for  Integrated Broadband Networks, Kluwer Academic Publishers, 1990.

V.E.  Benes, Mathematical Theory of Connecting  Networks  and Telephone Traffic, Academic Press, 1965.

G.  Hebuterne,  Traffic  Flow in  Switching  Systems,  Artech House, 1987.

A.  Girard,  Routing  and Dimensioning  in  Circuit  Switched Networks, 1986.

J.C. Bellamy,  Digital Telephony, 2nd Edition,  John  Wiley, 1992.

EE613 Nonlinear Dynamical Systems                                                                                                                        3 0 0 6      ñ


Introduction to nonlinear systems; analysis by phase plane and describing function methods. Lyapunov stability theory. The Lure problem: Popov's method, circle criterion. Hyperstability. Hamiltonian, Lagrangian and gradient systems: physical examples and analysis. Stability of Hamiltonian systems. Periodic systems: Floquet-Lyapunov theory, Krein's stability theorem.



V. M. Popov : Hyperstability of control systems. Springer Grundleheren series, 1970.

M. Vidyasagar, Nonlinear systems analysis. 2nd Edition. Prentice Hall, 1993.

Y. A. Yakubovitch and V. M. Starzhinskii, Linear differential equations with periodic coefficients. Wiley, 1975.

EE614  Solid State Microwave Devices and Applications                       3 0 0 6         ñ


Amplifiers   -  Microwave semiconductor devices  and  models; Power  gain  equations,   stability,     impedance  matching,  constant   gain  and noise  figure  circles;   Small  signal, low noise, high-power and broadband amplifier designs.


Oscillators  - One port, two port, YIG  dielectric and  Gunn-diode oscillators.


Two terminal microwave devices and circuits:


PIN diodes and uses as switches, phase shifters and limiters;


Varactor  diodes,  IMPATT and  TRAPATT  devices,  transferred electron  devices.


Microwave BJTs. GaAs FETs, low  noise  and power  GaAs   FETs  and  their  applications. Microwave Mixers.



S.Y.  Liao, Microwave Circuit Analysis and Amplifier  Design, Prentice Hall, 1987.

G.D.  Vendelin,  A.M. Pavio, U.L.  Rohde,  Microwave  Circuit Design,  Using  Linear and Non-linear  Techniques,  John Wiley, 1990.

Y.  Konishi,  Microwave Integrated Circuits,  Marcel  Dekker, 1991.


EE615 Control and Computation Laboratory                                                                                                       1 0 4 6           ñ


Programming and computation in MATLAB and SCILAB. Design of control systems and their simulation using software tools. Implementation of algorithms for multivariable systems for pole placement, observer design, stability computations, factorizations, solutions of Lyapunov and Ricatti equations, realizations, balancing. Use of algorithms for multivariable time series modelling.



A. Antoulas (Ed) : Mathematical systems theory Springer Verlag 1991.

C. T. Chen : Linear system theory and design, 3rd Edition. Oxford 1999.

K. N. Sigmon and T. A. Davis : MATLAB primer 6th edition, CRC Press 2001.

EE616 Electronic Systems Design                                                                                                                        2 0 2 6          ñ


Signal conditioning, Instrumentation & Isolation amplifiers, Analog filters, Analog switches, Programmable circuits, Switched-capacitors circuits and applications. A/D and D/A conversion: sampling and quantization, antialiasing and smoothening filters, Data converters, Interfacing with DSP blocks. Signal measurement in the presence of noise:synchronous detection, signal averaging. Noise in electronic systems; design of low noise circuits. Interfacing of analog and digital systems. PCB design and layout; System assembly considerations.



A. S Sedra and KC Smith, Microelectronic circuits, Oxford, 1998.

S. Soclof, Applications of analog integrated circuits, Prentice Hall1990.

T. T. Lang, Electronics of measuring systems - practical implementation, Wiley,1987.

P. Horowitz and W Hill, The art of electronics, Cambridge,1995.

H.W.Ott, Noise Reduction Techniques in Electronic Systems, Wiley, 1989.

S. K Mitra, Digital signal processing: a computer based approach, McGraw Hill, 1998.

W.C. Bosshart, Printed Circuit Boards: Design and Technology, Tata McGraw Hill, 1983.

G.L. Ginsberg, Printed Circuit Design, McGraw Hill, 1991.

EE617 Sensors in Instrumentation                                                                                                                       3 0 0 6          ñ


Sensor characteristics; R, L and C sensors: Hall effect sensors; Piezoelectric sensors; Micro-sensors. Sensors for displacement, pressure, temperature, flow etc. Optical sensors; chemical and bio-sensors. Sensor applications in non-destructive testing. Interfacing sensors with microprocessors and micro controllers.



D. V.S.Murthy,Transducers in instrumentation,Prentice Hall, 1995.

J. P.Bentley, Principles of measurement systems, Wiley,1989

J. W.Gardner, Microsensors, principles and applications, Wiley,1996.

S.M.Sze, Semiconductor Sensors, Wiley,1994

EE618  CMOS Analog VLSI Design                                                                                                                     3 0 0 6         ñ


Introduction to analog VLSI and mixed signal issues in CMOS technologies. Basic MOS models, SPICE Models and frequency dependent parameters. Basic MNOS/CMOS gain stage, cascade and cascode circuits. Frequency response, stabilty and noise issues in amplifiers. CMOS analog blocks: Current Sources and Voltage references. Differential amplifier and OPAMP design. Frequency Synthesizers and Phased lock-loop. Non-linear analog blocks: Comparators,Charge-pump circuits and Multipliers. Data converters. Analog Interconnects. Analog Testing and Layout issues. Low Voltage and Low Power Circuits. Introduction to RF Electronics. Basic concepts in RF design



R.Jacob Baker,H.W.Li, and D.E. Boyce CMOS Circuit Design ,Layout and Simulation, Prentice-Hall of India,1998

Mohammed Ismail and Terri Faiz Analog VLSI Signal and Information Process, McGraw-Hill Book company,1994

Paul R. Gray and R.G.Meyer, Analysis and design of Analog Integrated circuits John Wiley and sons,USA,(3rd Edition),1993

B. Razavi, RF Microelectronics, Prentice-Hall PTR,1998

Journals: 1}IEEE Journal of Solid state Circuits

                 2}IEEE Trans. on Communications

EE619  RF Microelectronics Chip Design                                                                                                                                       3 0 0 6            ñ


Introduction to RF and Wireless Technology: Complexity, design and applications. Choice of Technology. Basic concepts in RF Design: Nonlinearly and Time Variance, intersymbol Interference, random processes and Noise. Definitions of  sensitivity and dynamic range, conversion Gains and Distortion. Analog and Digital Modulation for RF circuits:  Comparison of various techniques for power efficiency. Coherent and Non coherent defection. Mobile RF Communication systems and basics of Multiple Access techniques. Receiver and Transmitter Architectures and Testing heterodyne, Homodyne, Image-reject, Direct-IF and sub-sampled receivers.  Direct Conversion and two steps transmitters. BJT and MOSFET behavior at RF frequencies Modeling of the transistors and SPICE models. Noise performance and limitation of devices. Integrated Parasitic elements at high frequencies and their monolithic implementation. Basic blocks in RF systems and their VLSI implementation :  Low Noise Amplifiers design in various technologies, Design of Mixers at GHz frequency range. Various Mixers, their working and implementations, Oscillators: Basic topologies VCO and definition of  phase noise. Noise-Power trade-off. Resonatorless  VCO design. Quadrature and single-sideband generators, Radio Frequency Synthesizes: PLLS, Various RF synthesizer architectures and frequency dividers, Power Amplifiers design. Linearisation techniques, Design issues in integrated RF filters.


Some discussion on available CAD tools for RF VLSI designs.

Prerequisite: EE 671 and Exxx (Analog VLSI Design)



B.Razavi, RF Microelectronics, Prentice-Hall PTR,1998

T.H.Lee, The Design of CMOS Radio-Frequency Integrated Circuits", Cambridge University Press, 1998.

R.Jacob Baker,H.W.Li, and D.E. Boyce, CMOS Circuit Design ,Layout and Simulation, Prentice-Hall of India,1998.

Y.P. Tsividis Mixed  Analog and Digital VLSI Devices and Technology, McGraw Hill,1996

EE620 Physics of Transistors                                                                        3 0 0 6       ñ


The MOS transistor:  Pao-Sah and Brews models; Short  channel effects  in  MOS  transistors. Hot-carrier  effects  in  MOS transistors;     Quasi-static   compact  models  of   MOS  transistors;   Measurement  of  MOS  transistor   parameters; Scaling and transistors structures   for   ULSI;     Silicon-on-insulator transistors; High-field and radiation effects in transistors.


The  bipolar  transistor:  Ebers-Moll model;  charge  control model;  small-signal and switching  characteristics;  Graded-base  and graded-emitter transistors; High-current and  high- frequency   effects;  Heterojunction   bipolar   transistors; Junction FETs; JFET, MESFET and heterojunction FET.



N.  D.  Arora, MOSFET Models for  VLSI  Circuit   Simulation, Springer-Verlag, 1993.

E. J. Roulston, Bipolar Semiconductor Devices,   McGraw-Hill, 1990.

S.  M. Sze, Physics of Semiconductor Devices,  (2e), Wiley Eastern, 1981.

Y.   P.   Tsividis,  Operation and  Modelling  of   the   MOS Transistor, McGraw-Hill, 1987.

E.  Takeda, Hot-carrier Effects in MOS  Trasistors,  Academic Press, 1995.

EE621  Markov Chains and Queuing Systems                                                                                                      3 0 0 6         ñ


Prerequisite:  Background in Probability and Stochastic Processes and an interest in System Modeling.


Markov Chains and regenerative processes have been extensively used in modeling a wide variety of systems and phenomena. Likewise, many systems can be modeled as queueing systems with some aspect of the queue governed by a random process. Obvious examples of such systems occur in telecommunication systems, manufacturing systems and computer systems. This course is aimed at teaching system modeling using Markov chains with special emphasis on developing queueing models. The course contents are as follows.


Introduction: Review of basic probability, properties of nonnegative random variables, laws of large numbers and the Central Limit Theorem.


Renewal Processes: Basic definitions, recurrence times, rewards and renewal reward theorem, point processes, Poisson process, Walds equation, Blackwell's theorem.


Discrete time Markov chains: definitions and properties, matrix representation, Perron-Frobenius theory


Continuous time Markov chains: basic definitions, Q-matrix, birth-death processes, quasi birth death processes.


Embedded Markov processes, semi Markov processes, reversible Markov chains

Random walks


Fundamental queueing results: Little's theorem, invariance of the mean delay, Conservation law


Markovian queues: Jackson and BCMP networks, numerical Algorithms.


M/G/1 & G/M/1 queues and G/G/1 queues


Advanced queueing models: priority, vacation and retrials in queues.



Stochastic Modeling and the Theory Queues, Prentice Hall, Englewood Cliffs, 1989.

P.Bremaud,  Markov Chains, Springer-Verlag, 1999.

E.Seneta, Non Negative Matrices and Markov Chains, Springer Series in Statistics, Springer, New York, 1981.

R.Gallager,  Discrete Stochastic Processes, Kluwer Academic Press, 1996.

L.Kleinrock, Queueing Systems} vols I and II, John Wiley and Sons 1976.


EE622 Optimal Control Systems                                                                                                                                 3 0 0 6     ñ


Introduction. static and dynamic optimization. Parameter optimization.


Caculus of Variations : problems of Lagrange,. Mayer and Bolza. Euler-Language equation and transversality conditions, Lagrange multipiliers.


Pontryagin’s maximum principle; theory; application to minimum time, energy and control effort problems, and terminal control problem.


Dynamic programming : Belaman’s principle of optimality, multistage decision processes. application to optimal control.


Linear regulator problem : matrix Riccati equation and its solution, tracking problem.


Computational methods in optimal control. application of mathematical programming. singular perturbations, practical examples.



D.E.Kirk, Optimal Control Theory, Prentice-Hall. 1970.

A.P.Sage and C.C.White II, Optimum Systems Control, 2nd ED., Prentice-Hall, 1977.

D.Tabak and B.C.Kuo, Optimal Control by Mathematical Programming, Prentice-Hall, 1971.

B.D.O. Anderson and J.B.Moore, Linear Optimal Control, Prentice-Hall, 1971.

EE625  Bio Sensors and Bio MEMS                                                                                             3 0 0 6      ñ


This course has been initiated to introduce students to biosensors and microfabricated systems for biosensing, primarily on silicon, so that they

can get on with their seminars and projects in these areas. The focus of this course would be to acquaint students to device structures, analysis of the structures to obtain device characteristics and finally approaches to design and test of these devices and systems. Pre-requisite: Introductory courses on device physics & differential equations. If a first level course on devices has not been taken, students should get an introduction to the area by reading a book such as `Semiconductor Devices: Physics & Technology` by SM Sze [John Wiley, India, 2002]. The broad structure of the course would be: Weeks 1-2: Approaches to designing electronic systems Sensor classification & sensing principles Introduction to biosensors & bioMS Weeks 3-6: Semiconductor sensors for physical measurands Physicochemical sensors integrable on silicon Weeks 7-9:Biosensors: Structures & device analysis Catalytic biosensors Affinity biosensors Weeks 10-12: bioMS: Architectures & analytic models.



SM Sze John Wiley, Semiconductor Devices: Physics & Technology` by, India, 2002.

RS Muller, RT Howe, SD Senturia, RL Smith and RM White, `Microsensors`, IEEE Press, New York, 1991.

Mohamed Gad-el-Hak (R), MEMS handbook` CRC Press, Boca Raton, 2002.

Anthony P.F.Turner, Isao Karube and George S. Wilson, `Biosensors :fundamentals and applications` , Oxford University Press, Oxford, 1987.

S Middelhoek & SA Audet , `Silicon sensors`, Academic Press Limited,London,1989.

A Sandana. `Engineering biosensors: kinetics and design applications`, Academic Press, San Diego, 2002.

D Voet & JG Voet , `Biochemistry`, J Wiley & Sons, New York, 1990.

EE629 Biomedical Instrumentation                                                                                                                           2 0 2 6       ñ


Brief introduction to human physiology. Biomedical transducers: displacement, velocity, force, acceleration, flow, temperature, potential, dissolved ions and gases.


Bioelectrodes and biopotential amplifiers for ECG, EMG, EEG, etc. Measurement of blood temperature, pressure and flow. Impedance plethysmography. Ultrsonic and nuclear imaging.


Prostheses and aids: pacemakers, defibrilla-tors, heart-lung machine, artificial kidney, aids for the handicapped. Safety aspects.



W.F. Ganong, Review of Medical Physiology, 8th Asian Ed, Medical Publishers, 1977.

J.G. Websster, ed., Medical Instrumentation, Houghton Mifflin, 1978.

A.M. Cook and J.G. Webster, eds., Therapeutic Medical Devices, Prentice-Hall, 1982.

EE630 Digital Measurement Techniques                                                    2 0 2 6       ñ


Philosophy  of  digital  and   microprocessor/microcontroller based instruments.


Time measurement techniques : Time standards; Measurement  of time  interval  between  events,  order  of  events,  Vernier technique,  Very  low  time,  period,  phase,  time  constant measurements;


Frequency  measurement  techniques  : Frequency,  ratio and product, high and low frequency measurements; Deviation meter and tachometer, Peak/valley recorder.


Programmable  circuits : Programmmable resistors,  amplifiers, filters.


Digital  to  Analog Converters:  Programmable  amplifiers  as DACs,  Multi-stage  WR  DACs, Weighted   current-,   weighted  reference   voltage-,  weighted charge-DACs;   Ladder   DACs, Design   of  DACs   with   respect   to  spread   and   total resistance; Hybrid multiplier and divider.


Analog  to  Digital Converters: V/f   and   V/t   converters, Direct   ADCs,   ramp,  tracking,  dual   slope,   successive approximation and flash types;  Multi-stage flash type  ADCs, DVM and its design.


Voltage  ratio  measurement techniques  :  Digital  ohmmeter, capacitance  meter;  impedance  meters  (polar  and  cartesin types);  Decibel meters; Q meter tan-delta meter;  Modulation index meter.


Sampling theory and its applications in current, voltage, power, energy measurements.


Elements  of  digital signal processing : FFT,  DHT,  digital filters.



T.    S.    Rathore,  Digital Measurement  Techniques, Narosa Publishing House, New Delhi, 1996.

B. S.    Sonde,  Monographs  on  System Design  using Integrated Circuits, Tata Mc-Graw Hill, 1974.

D.   J.   DeFatta,   J.  G.  Lucas  and   W.   S.   Hodgkiss, Digital Signal Processing, J Wiley and Sons, Singapore, 1988.

EE634 Simulation of Circuits and Devices                                                                                                                                          3 0 0 6    ñ


Formulation of network equations: Nodal, mesh, modified nodal and  hybrid  analysis equations. 


Sparse    matrix    techniques; Solution   of  nonlinear  networks   through   Newton-Raphson technique. 


Multistep  methods:  convergence  and  stability; Special classes of multistep methods: Adams-bashforth, Adams-Moulton  and  Gear's methods; Solution of  stiff  systems  of equations; Adaptation of multistep methods to the solution of electrical networks; General purpose circuit simulators.


Review  of  semiconductor  equations  (Poisson, continuity, drift-diffusion, trap rate). Finite difference formulation of these   equations   in   1D   and   2D. Grid  generation.


Physical/empirical   models   of   semiconductor  parameters  (mobility,   lifetime,  band  gap,  etc.).  


Computation   of characteristics   of  simple  devices   (p-n junction,  MOS  capacitor,  MOSFET,  etc.);   Small-signal analysis.



L.O.Chua and P.M.Lin, Computer aided analysis and  electronic circuits, Prentice Hall, 1975.

S.  Selberherr,  Analysis  and  Simulation  of  Semiconductor Devices, Springer-Verlag, 1984.

N.J. McCalla,  Fundamentals of Computer Aided  Circuit Simulation, Kluwer Academic Publishers, 1988.

EE635 Applied Linear Algebra in Electrical Engineering                                                                                      3 0 0 6    ñ 


Vector  spaces, linear dependence, basis;  Representation  of linear transformations with   respect to a basis.


Inner  product spaces, Hilbert spaces, linear functions;  Riesz representation theorem and adjoints.


Orthogonal  projections, products of projections,  orthogonal direct   sums;   Unitary  and   orthogonal   transformations, complete  orthonormal  sets and Parseval's  identity;  Closed subspaces and the projection theorem for Hilbert spaces.


Polynomials:   The   algebra   of   polynomials, matrix polynomials,  annihilating polynomials  and invariant subspaces, Jordan forms.


Applications:  Complementary orthogonal spaces in   networks, properties  of  graphs  and their relation  to  vector  space properties   of their  matrix representations;  Solution   of state equations  in linear  system  theory;  Relation between  the rational and Jordan forms.

Numerical  linear algebra: Direct and iterative  methods of solutions  of  linear equations;  Matrices,  norms,  complete metric  spaces  and  complete normal  linear  spaces  (Banach spaces);   Least     squares    problems   (constrained  and unconstrained); Eigenvalue problem.



K. Hoffman and R. Kunze, Linear Algebra, Prentice-Hall (India), (1986).

G.H.  Golub  and C.F. Van Loan,  Matrix  Computations,  North Oxford Academic, 1983.

G.    Bachman   and   L.   Narici, Functional Analysis, Academic Press, 1966.

E.Kreyszig, ntroductory functional analysis with applications John Wiley, 1978.

EE636 Matrix Computations                                                                                                                                      3 0 0 6        ñ


Basic iterative methods for solutions of linear systems and their rates of convergence. Generalized conjugate gradient, Krylov space and Lanczos methods. Iterative methods for symmetric, non-symmetric and generalized eigenvalue problems. Singular value decompositions. Fast computations for structured matrices. Polynomial matrix computations. Perturbation bounds for eigenvalues.



Owe Axelsson, Iterative solution methods. Cambridge.1994.

G. Meurant: Computer solution of large linear systems. North Holland, 1999.

Golub and C. Van Loan: Matrix computations. John Hopkins Press 1996.

G. W. Stewart and J. Sun: Matrix perturbation theory. Academic press,1990.

EE638 Estimation and Identification                                                                                                                       3 0 0 6         ñ


Introduction to linear least square estimation : a geometric approach.Wiener filter, Levinson filter, updating QR filter and the Kalman filter.Filter implementation structures : lattice, ladder and the systolic QR.Stochastic realization theory (modelling given the covariance). Modelling given the raw data. Spectral estimation.


Recursive least squares identification algorithms: Levinson-type, Kalman-type and the QR-type.



U.B. Desai, Lecture notes on estimation realization and identification, Unpublished, 1986.

B.D.O Anderson and J.B. Moore, Optimal Filtering, Prentice-Hall, 1979.

T. Kailath, Lecture notes on Wiener and Kalman Filtering, Springer Verlag, 1980.

L. Ljung, System Identificaiton Theory for the user, Prentice-Hall, 1987.

P.S. Maybeck, Stochastic Models, Estimation and Control, Vols. 1-3, Academic Press, 1980-1982.

EE640 Multivariable Control Systems                                                                                                                        3 0 0 6      ñ


Examples of multivariable control systems. State space, polynomial and stable fraction models. Controllability, observability and computations involved in their analysis. Realization theory of multivariable systems and algorithms. Stability by Lyapunov's method, solution of Lyapunov equations. Pole placement, observer design and stabilization theory.Spectral factorizations of systems. Solution of the Ricatti equation.Balanced realizations and their computations.



C.T.Chen : Linear system theory and design, 3rd edition, Oxford 1999.

John Bay : Fundamentals of linear state space systems, McGraw Hill, 1998.

Wilson Rugh : Linear system theory, 2nd edition, Prentice Hall, 1996.

EE649 Finite fields and their applications                                                  3 0 0 6        ñ


Basics of finite fields: Groups, rings, fields, polynomials, field extensions, characterization of finite fields, roots of irreducible polynomials, traces, norms, bases, roots of unity, cyclotomic polynomials, representation of elements of finite fields, Wedderburn's theorem, order of polynomials, primitive polynomials, construction of irreducible polynomials, linearized polynomials, binomials, trinomials.


Applications to algebraic coding theory: Linear codes, cyclic codes, Goppa codes.



Rudolf Lidl & Harald Niederreiter, Finite Fields, Cambridge University Press, Cambridge, 1997.

Steven Roman, Coding and Information Theory, Springer Verlag, 1992.

R. Lidl and H. Niederreiter, Introduction to finite fields and their applications, Cambridge University Press, 1986, Chapters 1-3 and 8.

EE651 Digital Protection of Power Systems                                                                                                          3 0 0 6         ñ


Review of principles of power system protection: over-current, directional, differential and distance protection. Reactancce, impedances and mho relays numerical relays: motivation, basic hardware. Review of digital signal processing techniques: sampling, aliasing, courier, discrete Fourier transforms and fast Fourier transforms. Numerical algorithms, CT/PT modelling and standards, simulation of transients, electromagnetic transient program (EMTP).



J.L. Blackburn, Protective Relaying : Principles and Applications, Marcel Dekker, New York, 1987.

A.G. Phadke and J.S. Thorp, Computer Relaying for Power Systems, John Wiley & Sons, New York, 1988.

EE653 Power Electronics -I                                                                                                                                     3 0 0 6           ñ 


Review of line commutated converters, inverters, voltage control & Power factor improvement. power Devices : BJT, MOSFET, IGBT & GTOs - operating characteristics and gate drive requirements and circuits. Switched - mode rectifier: various Power circuit configurations & wave shaping techniques. Synchronous link rectifiers: Power circuit configurations, control techniques, application of these converters in load compensation, series compensators, multi level converters. inverters : voltage source inverters:- single phase & Six step inverters, voltage control & PWM strategies,and implementation aspects, Modification of power circuit for Four quadrant operation. Current source inverters: single phase and three phase power circuit configuration and analysis. Load commutated inverters: principle of operation, modification of power circuit configuration for low frequency operation. Phase Controllers.



N.Mohan,T.M. Undeland & W.P.Robbins, Power Electronics: Converter, Applications & Design, John Wiley & Sons, 1989.

M.H. Rashid, Power Electronics, Prentice Hall of India, 1994.

B.K.Bose, Power Electronics & A.C. Drives, Prentice Hall, 1986.

EE654 Power Electronics - II                                                                                                                                     3 0 0 6         ñ  


DC- DC, Converters - principle of operation of buck, boost, buck-boost, Cuk, flyback, forward, push-pull, half bridge, full bridge & isolated Cuk Converters, Input & output filter design, multi-output operation of isolated converters, MMF equations. Design of transformers and inductors.


Modelling of the above converters using state averaging techniques.Resonant Inverters : DC link Inverters, modified circuit topologies for DC link voltage clamping, voltage control - PWM techniques (sigma, sigma - delta modulation) quasi resonant inverters. DC-DC converters - series resonant and parallel resonant, application of zero voltage and zero current switchings for DC-DC converters (buck & boost).


Inverters for Induction Heating and UPS.



N.Mohan, T.M. Undeland & W.P.Robbins, Power Electronics: Converter, Applications & Design, John Wiley & Sons, 1989.

R. Bausiere & G. Seguier, Power Electronic Converters, Springer- Verlag, 1987.

D.M.Mitchell, DC-DC Switching Regulator Analysis McGraw Hill, 1987.

EE655 Computer Aided Power System Analysis                                                                                                     3 0 0 6  ñ


Loadflow for AC systems, fast decoupled load flow, optimal power flow.

Z - matrix for short circuit studies.


State estimation, LO algorithm, fast decoupled state estimation.

Security and contingency studies. Unit Commitment. Load frequency control.

Optimal hydro-thermal scheduling. AI applications.



O.I.Elgerd, Electric Energy Systems Theory, McGraw Hill, 1971.

G.W.Stagg and A.H.El-Abiad, Computer Methods in Power System Analysis, McGraw Hill 1968.

G.L.Kusic, Computer Aided Power Systems Analysis, Prentice Hall, 1986.

I.J.Nagrath and D.P.Kothari, Modern Power Systems Analysis, Tata McGraw Hill, 1980.

A.J.Wood and B.F.Wollenberg, Power Generation, Operation and Control, John Wiley, 1984.

EE656 Electrical Machine Analysis & Control                                                                                                  3 0 0 6           ñ


Principle of unified machine theory, generalized torque equation. Performance evaluation of DC machine and speed control. Three phase induction motor- transformation methods, (stationary, rotor and synchronous frames) and corresponding equivalent circuits. Three Phase synchronous motor : representation, Park transformation. Drives, various Control techniques.


Concept of Space vector, field oriented control and direct torque control of IM. Permanent magnet synchronous motors- machine model (d-q) and control methods


Switched reluctance motor drive and various power circuit configurations and control.



C.V. Jones, The Unified Theory of Electrical Machines, Butterworth, London, 1967

P.Vas, Vector Control of A.C. Machines, Clarendon Press, Oxford 1990.

J.M.D. Murphy & F.G. Turnbull, Power Electronic Control of AC motors, Pergamon Press, 1988

W. Leonhard, Control of Electrical Drives, Springer Verlag, 1985.

P.C. Krause, Analysis of Electric Machinery, McGraw Hill, New York, 1987

EE657  Electric Drives   I                                                                                                3 0 0 6        ñ


Methods of DC motor control, non-regenerative controlled rectifiers, fully controlled converters, field control, switching systems for DC motors, chopper regulators, aspects of analysis, performance and stability of variable speed dc drives.


Induction motor control systems, ac regulators and static switches, control of effective rotor resistance, recovery of slip energy,  variable frequency control of ac motors, current source inverter fed Induction motor drive, forced commutated inverter fed drives, self-controlled synchronous motor drives and  traction drives. Analysis, performance and stability of synchronous and asynchronous drives. solar and battery powered drives. 



W. Leonhard, Control of Electric Drives, Springer Verlag, 1985.

P.Vas, Vector Control of ac Machines, Clarendon press, Oxford, 1990

S.K.Pillai, Analysis of Thyristor Power Conditioned Motors, University Press, 1992.

G.K.Dubey, Fundamentals of Electrical Drives, Narosa Publications, 1995.

EE658 Power System Dynamics and Control                                                                                                    3 0 0 6              ñ


Basic Concepts of dynamical systems and stability. Modelling of power system components for stability studies: generators, transmission lines, excitation and prime mover controllers, flexible AC transmission (FACTS) controllers.


Analysis of single machine and multi-machine systems. Small signal angle instability (low frequency oscillations): damping and synchronizing torque analysis, eigenvalue analysis.


Mitigation using power system stabilizers and supplementary modulation control of FACTS devices. Small signal angle instability (sub-synchronous frequency oscillations): analysis and counter-measures. Transient Instability: Analysis using digital simulation and energy function method. Transient stability controllers. Introduction to voltage Instability. Analysis of voltage Instability.



P.Kundur, Power System Stability and Control, McGraw Hill Inc, New York, 1995.

P.Sauer & M.A.Pai, Power System Dynamics & Stability, Prentice Hall, 1997.

K.R.Padiyar Power System Dynamics, Stability & Control, Interline Publishers, Bangalore, 1996.

EE659  A First Course in Optimization                                                                                                                   3 0 0 6       ñ


Motivation. mathematical review , matrix factorizations, sets and sequences, convex sets and functions, linear programming and simplex method, Weierstrass' theorem, Karush Kuhn Tucker optimality conditions, algorithms, convergence, unconstrained optimization, Line search methods, method of multidimensional search, steepest descent methods, Newton's method, modifications to Newton's method , trust region methods, conjugate gradient methods, quasi-Newton's methods. constrained optimization, penalty and barrier function methods, augmented Lagrangian methods, polynomial time algorithm for linear programming, successive linear programming, successive quadratic programming. 



R. Fletcher Practical Optimization (2nd Edition) John Wiley  & Sons, New York, 1987.

M.S.Bazaraa , H.D.Sherali and C.Shetty , Nonlinear Programming, Theory and

Algorithms, John Wiley and Sons, New York, 1993.


EE660 Application of Power Electronics to Power Systems                                                                             3 0 0 6           ñ


Steady state and dynamic problems in AC systems. Flexible AC transmission systems (FACTS). Principles of series and shunt compensation. Description of static var compensators (SVC), Thyristor Controlled series compensators (TCSC), Static phase shifters (SPS), Static condenser (STATCON), Static synchronous series compensator (SSSC) and Unified power flow controller (UPFC). Modelling and Analysis of FACTS controllers. Control strategies to improve system stability.


Power Quality problems in distribution systems, harmonics, harmonics creating loads, modelling, harmonic propagation, Series and parallel resonances, harmonic power flow, Mitigation of harmonics, filters, passive filters, Active filters, shunt, series hybrid filters, voltage sags & swells, voltage flicker. Mitigation of power quality problems using power electronic conditioners. IEEE standards.



G.T. Heydt, Power Quality, Stars in a Circle Publications, Indiana, 1991.

T.J.E. Miller, Static Reactive Power Compensation, John Wiley & Sons, New York, 1982.

Recent publications on Power Systems and Power Delivery.

EE661 Physical Electronics                                                                                                                                   3 0 0 6           ñ


Introduction to semiconductor Physics: Review of quantum mechanics, Electrons in periodic lattices, E-k diagrams, Quasiparticles in semiconductors, electrons, holes and phonons. Boltzmann transport equation and solution in the presence of low electric and magnetic fields - mobility and diffusivity; Carrier statistics; Continuity equation, Poisson's equation and their solution; High field effects: velocity saturation, hot carriers and avalanche breakdown.


Semiconductor junctions: Schottky, homo- and hetero-junction band diagrams and I-V characteristics, and small signal switching models; Two terminal and surface states devices based on semiconductor junctions.


MOS structures: Semiconductor surfaces; Theideal and nonideal MOS capacitor band diagrams and CVs; Effects of oxide charges, defects and interface states; Characterization of MOS capacitors: HF and LF CVs, avalanche injection; High field effects and breakdown.


Characterization of semi conductors: Four probe and Hall measurement; CVs for dopant profile characterization; Capacitance transients and DLTS.



J. P. McKelvey, introduction to Solid State and Semiconductor Physics, Harper and Row and John Weathe Hill, 1966.

E. H. Nicollian and J. R. Brews, MOS Physics and Technology, John Wiley, 1982.

K. K. Ng, Complete Guide to Semiconductor Devices, McGraw Hill, 1995.

D.K. Schroder, Seminconductor Material and Device Characterization, John Wiley, 1990.

S. M. Sze, Physics of Semiconductor Devices, 2nd edition John Wiley, 1981.

C. T. Sah, Fundamentals of Solid-State Electronic Devices, Allied Publishers and World Scientific, 1991.

E. F. Y. Waug, Introduction to Solid State Electronics North Holland, 1980.

EE666 High Power Semiconductor Devices                                                                                                                 3 0 0 6    ñ


Basic device models: Theory of bipolar and MOS transistors. Small-signal models of bipolar and MOS transistors, Gummel-Poon model.


High current effects in diodes: Dependence of lifetime on high-level injection, non-uniform current distribution under high current injection.


Power biploar transistors: Onset of high-current effects in transistors; Theories of Kirk effect, crowding, pinch-in effects, second breakdown, etc; Emitter geometries for high current and HF operation.


SCR : Theories of operation; Relation between shorted emitter and dv/dt ratings; Gate turn-off devices, inverter grade SCRs, special diffusion techniques for SCRs. Power VMOS devices.


Heat transfer in power devices; Power MOS devices : VMOS & DMOS device structure and models; device packaging.



S.M. Sze, Physics of Semiconductor Devices, 2nd ed., Wiley, 1981.

EE668 System Design                                                                                                                                                   3 0 0 6     ñ


Basics of system hardware design. Hierarchical design using top-down and bottom-up methodology. System partitioning techniques, interfacing between system components. Handling multiple clock domains, Synchronous and asynchronous design styles. Interface between synchronous and asynchronous blocks. Meta-stability and techniques for handling it. Interfacing linear and digital systems, data conversion circuits. Design of finite state machines, state assignment strategies. Design and optimization of pipelined stages. Use of data flow graphs, Critical path analysis, retiming and scheduling strategies for performance enhancement. Implementation of DSP algorithms.Signal integrity and high speed behaviour of interconnects: ringing, cross talk and ground bounce. Layout strategies at IC and board level for local and global signals.Power supply decoupling.


Test strategies: Border Scan, Built In Self Test and signature analysis.


Jan M. Rabaey, "Digital Integrated Circuits", Prentice Hall of India, (New Delhi), 1997.

M.J.S. Smith, "Application Specific Integrated Circuits", Addison Wesley (Reading, MA), 1999

Vijay K. Madisetti, "VLSI Digital Signal Processing", IEEE Press (NY, USA), 1995.

EE669 VLSI Technology                                                                                                                                             3 0 0 6    ñ


Environment for VLSI Technology : Clean room and safety requirements. Wafer cleaning processes and wet chemical etching techniques.


Impurity incorporation : Solid State diffusion modelling and technology; Ion Implantation modelling, technology and damage annealing; characterisation of Impurity profiles.


Oxidation : Kinetics of Silicon dioxide growth both for thick, thin and ultrathin films. Oxidation technologies in VLSI and ULSI; Characterisation of oxide films; High k and low k dielectrics for ULSI.


Lithography : Photolithography, E-beam lithography and newer lithography techniques for VLSI/ULSI; Mask generation.


Chemical Vapour Deposition techniques : CVD techniques for deposition of polysilicon, silicon dioxide, silicon nitride and metal films; Epitaxial growth of silicon; modelling and technology.


Metal film deposition : Evaporation and sputtering techniques. Failure mechanisms in metal interconnects; Multi-level metallisation schemes.


Plasma and Rapid Thermal Processing: PECVD, Plasma etching and RIE techniques; RTP techniques for annealing, growth and deposition of various films for use in ULSI.


Process integration for NMOS, CMOS and Bipolar circuits; Advanced MOS technologies.



C.Y. Chang and S.M.Sze (Ed), ULSI Technology, McGraw Hill Companies Inc, 1996.

S.K. Ghandhi, VLSI Fabrication Principles, John Wiley Inc., New York, 1983.

S.M. Sze (Ed), VLSI Technology, 2nd Edition, McGraw Hill, 1988.

EE671 VLSI Design                                                                                                                                                         3 0 0 6    ñ


Review of MOS transistor models. CMOS logic families including static, dynamic and dual rail logic. Integrated Circuit Layout: Design Rules, Parasitics. Building blocks: ALU's, FIFO's, counters. VLSI system design: data and control path design, floorplanning, Design methodology: Introduction to hardware description languages (VHDL), logic, circuit and layout verification. Design examples.



N. Weste and K. Eshranghian, Principles of CMOS VLSI Design, Addison Wesley. 1985

L. Glaser and D. Dobberpuhl, The Design and Analysis of VLSI Circuits, Addison Wesley, 1985

C. Mead and L. Conway, Introduction to VLSI Systems, Addison Wesley, 1979.

J. Rabaey, Digital Integrated Circuits: A Design Perspective, Prentice Hall India, 1997.

D. Perry, VHDL, 2nd Ed., McGraw Hill International, 1995.

EE672 Microelectronics Lab                                                                                                                                        1 0 4 6    ñ


Laboratory experiments on technology, characterization, design and simulation of devices and integrated circuits, based on courses EE 677, 661, 669 and 632.


Fabrication of MOS capacitors and junction diodes. Characterization of MOS capacitors by C-V and I-V. Characterization of photovoltaic cells. Process simulation. Circuit and timing simulation. Design of standard cell and gate array based circuits and their simulation. Computer-aided testing of integrated circuits.



E.H. Nicollia and J.R. Brews, MOS physics and technology, John Wiley, 1982.

W.R. Runyan, Semiconductor measurements and Instrumentationm, McGraw Hill, 1975.

S.M. Sze, VLSI Technology, 2nd Ed., McGraw Hill, 1988.

EE673 Power Systems and Power Electronics Lab                                                                                                  0 0 6 6    ñ


This is a laboratory based on computer simulation and hardware experiments consisting of computer simulation experiments on power systems and power electronics and hardware experiments on power electronics.

EE675 Microprocessor Applications in Power Electronics                                                                                     2 0 2 6    ñ


-- Review of microcontrollers and digital signal processors, architecture,

peripheral modules.


-- Typical processors for control implementation: memory organisation, CPU details, addressing modes, interrupt structure, hardware multiplier,



-- Fixed- and floating-point data representations.


-- Assemblers, linkers and loaders. Binary file formats for processor executable files. Typical structure of timer-interrupt driven programs.

-- Implementing digital processor based control systems for power electronics: Reference frame transformations, PLL implementations, machine

models, harmonic and reactive power compensation, space vector PWM.


-- Numerical integration methods.


-- Multitasking concepts for power electronics implementations: The need for multitasking, various multitasking methods.




1. K Ogata, "Discrete-Time Control Systems", second edition, Pearson

Education Asia.


2. N. Mohan, "Power Electronics", third edition, John Wiley and Sons.


EE677 Foundations of VLSI CAD                                                                                                                              3 0 0 6    ñ


Matrices: Linear dependence of vectors, solution of linear equations, bases of vector spaces, orthogonality, complementary orthogonal spaces and solution spaces of linear equations.


Graphs: representation of graphs using matrices; Paths, connectedness; circuits, cutsets, trees; Fundamental circuit and cutset matrices; Voltage and current spaces of a directed graph and their complementary orthogonality.


Algorithms and data structures: efficient representation of graphs; Elementary graph algorithms involving bfs and dfs trees, such as finding connected and 2- connected components of a graph, the minimum spanning tree, shortest path between a pair of vertices in a graph; Data structures such as stacks, linked lists and queues, binary trees and heaps. Time and space complexity of algorithms.



K. Hoffman and R.E. Kunze, Linear Algebra, Prentice Hall (India), 1986

N.Balabanian and T.A. Bickart, Linear Network Theory : Analysis, Properties, Design and Synthesis, Matrix Publishers, Inc., 1981.

T.Cormen, C.Leiserson and R.A.Rivest, Algorithms, MIT Press and McGraw-Hill, 1990.

EE678 Wavelets                                                                                                                                                             3 0 0 6    ñ


Introduction to time frequency analysis; the how, what and why about wavelets.


Short-time Fourier transform, Wigner-Ville transform.


Continuous time wavelet transform, Discrete wavelet transform, tiling of the time-frequency plane and wavepacket analysis.


Construction of wavelets. Multiresolution analysis. Introduction to frames and biorthogonal wavelets.


Multirate signal processing and filter bank theory.


Application of wavelet theory to signal denoising, image and video compression, multi-tone digital communication, transient detection.



Y.T. Chan, Wavelet Basics, Kluwer Publishers, Boston, 1993.

I. Daubechies, Ten Lectures on Wavelets, Society for Industrial and Applied Mathematics, Philadelphia, PA, 1992.

C. K. Chui, An Introduction to Wavelets, Academic Press Inc., New York, 1992.

Gerald Kaiser, A Friendly Guide to Wavelets, Birkhauser, New York, 1995.

P. P. Vaidyanathan, Multirate Systems and Filter Banks, Prentice Hall, New Jersey, 1993.

A.N. Akansu and R.A. Haddad, Multiresolution signal Decomposition: Transforms, Subbands and Wavelets, Academic Press, Oranld, Florida, 1992.

B.Boashash, Time-Frequency signal analysis, In S.Haykin, (editor), Advanced Spectral Analysis, pages 418--517. Prentice Hall, New Jersey, 1991.

EE679 Speech Processing                                                                                                                                            3 0 0 6   ñ


Speech production and acoustic phonetics, speech perception.


Speech analysis: time and frequency domain techniques for pitch and formant estimation, cepstral and LPC analysis.


Speech synthesis: articulatory, formant, and LPC synthesis, voice response and text-to-speech systems.


Applications: data compression, vocoders, speech enhancement, speech recognition, speaker recognition, aids for the speech and hearing impairments.



D O'Shaughnessy, Speech Communication: Human and Machine, Addison Wesley, 1987.

L R Rabiner and RW Schafer, Digital Processing of Speech Signals, Prentice Hall, 1978.

JL Flanagan, Speech Analysis, Synthesis, and Perception, Springer Verlag, 1972.

Selected papers.

EE685 Power System Protection                                                                                                                              3 0 0 6         ñ


Review of Principles of power system protection: overcurrent, directional, differential and distance protection. Review of sequence networks & short circuit analysis. 


Relay coordination: Overcurrent & distance relay coordination.


Introduction to current transformer & potential transformer. Standards, affect on relaying philosophy.


Introduction to computer aided relaying, motivation, basic hardware, digital signal processing aspects; Sampling, aliasing, antialiasing filter, Founer & discrete fourier transform recursive DFT, half cycle and full cycle algorithm.  Estimation of phasors & frequency.


Algorithms for transmission line, transformer & bus bar protection; out-of-step relaying Introduction to adaptive relaying & wide area measurements.


EE686 HVDC Transmission                                                                                                                                       3 0 0 6     ñ


Need for HVDC, AC vs. DC: Comparative advantages. Converters and their characteristics. Control of the converters (CC and CEA).


Parallel and series operation of converters. Equivalence of a dc system in an ac system. Per unit systems. AC-DC load flow analysis.



K.R. Padiyar, HVDC Power Transmission Systems, Wiley eastern Ltd. 1990.

I.    Arillaga, C.P. Arnold and B.J. Haskar, Computer Modelling of Electrical Power Systems, John Wiley, 1993.

Papers form IEEE Transactions on Power Apparatus and Systems, and Power Systems

EE687 Switchgear Principles                                                                                                                                    3 0 0 6    ñ


Switchgear installation and criteria for selection. Circuit breaker ratings, principles of a-c circuit breaking. RRRV and recovery voltage and their control. Current chopping. Switching of capacitive currents. Kilometric faults.Resistance switching. D-C current interruption.


Principles of fusegear. Salient features and characteristics of different arc interrupting media -- air, oil, air-blast, SF6, and vacuum.


The electric arc and circuit -breaker. Establishing an arc, discharge characteristic of arc, long arc, short arc, energy transfer between electric field and the arc column, energy transfer out of the column.


Theories of arc interruption - restriking voltage and energy – balance theories and their applications.



C. H. Flurscheim, ed., Power Circuit Breaker Theory and Design, Peter Peregrinus Ltd., 1976.

K. Regaller ed., Current Interruption in High Voltage Networks, Plenum Press, 1978.

EE701 Introduction to MEMS                                                                                                                                         3 0 0 6    ñ


Historical Background: Silicon Pressure sensors, Micromachining, MicroElectroMechanical Systems


Microfabrication and Micromachining : Integrated Circuit Processes, Bulk Micromachining : Isotropic Etching and Anisotropic Etching, Wafer Bonding, High Aspect-Ratio Processes (LIGA)


Physical Microsensors : Classification of physical sensors, Integrated, Intelligent, or Smart sensors, Sensor Principles and Examples : Thermal sensors, Electrical Sensors, Mechanical Sensors, Chemical and Biosensors


Microactuators : Electromagnetic and Thermal microactuation, Mechanical design of microactuators, Microactuator examples, microvalves, micropumps, micromotors-Microactuator systems : Success Stories, Ink-Jet printer heads, Micro-mirror TV Projector


Surface Micromachining: One or two sacrificial layer processes, Surface micromachining requirements, Polysilicon surface micromachining, Other compatible materials, Silicon Dioxide, Silicon Nitride, Piezoelectric materials, Surface Micromachined Systems : Success Stories, Micromotors, Gear trains, Mechanisms


Application Areas: All-mechanical miniature devices, 3-D electromagnetic actuators and sensors, RF/Electronics devices, Optical/Photonic devices, Medical devices e.g. DNA-chip, micro-arrays.



(two groups will work on one of the following design project as a part of the course)


RF/Electronics device/system, Optical/Photonic device/system, Medical device e.g. DNA-chip, micro-arrays.



Stephen D. Senturia, "Microsystem Design" by, Kluwer Academic Publishers, 2001.

Marc Madou, “Fundamentals of Microfabrication” by, CRC Press, 1997.Gregory Kovacs, “Micromachined Transducers Sourcebook” WCB McGraw-Hill, Boston, 1998.

M.-H. Bao, “Micromechanical Transducers: Pressure sensors, accelrometers, and gyroscopes” by Elsevier, New York, 2000.

EE702 Computer Vision                                                                                                                                                  3 0 0 6    ñ


Pre-requisite: EE-610.


Imaging model and geometry: scene radiance and image irradiance, reflectance model of a surface, Lambertian and specular reflectance, photometric stereo.


Ill-posedness of vision problems: regularization theory.


Shape from shading, structured light and texture. Optical flow, structure from motion and recursive motion analysis. Stereo vision and correspondence problem.


Depth analysis using real-aperture camera: depth from defocused images.


MRF approach to early vision problems:(shape from shading, matching, stereo and motion), Image texture analysis.


Introduction to image understanding.


Integrated vision, sensor fusion.



B. K. P. Horn, Robot Vision, MIT Press, 1986.

D. Marr, Vision, Freeman and Co., San Francisco, 1982.

S. Chaudhuri and A. N. Rajagopalan, Depth from Defocused Images, Springer Verlag, NY, 1999.Selected Papers.

EE703 Digital Message Transmission                                                                                                                         3 0 0 6    ñ


Examples of analog pulse and digital transmission systems.

Performance analysis of analog and pulse modulation systems.

Role and review of probability theory and stochastic processes in digital message transmission.

Principles of detection theory: Binary and m-ary hypothesis testing. Bayes' likelihood ratio test.

Performance analysis of digital communication systems.

Spectrum of digital signals: Spectral efficiency of digital communication systems; Nyquist pulse shaping.

Correlative coding schemes.

Equalization techniques.

Synchronization techniques. Carrier, bit and frame synchronization schemes.



Wozencraft J.M. and Jacobs I.M., Principles of Communication Engineering, John Wiley, 1965.

Carlson A., Communication Systems, 3rd ed., McGraw Hill, 1986.

Van Trees H.L., Detection Estimation and Modulation Theory, Vol. 1., Wiley, 1968.

Proakis J.J., Digital Communications, 2nd Ed., McGraw Hill, 1989.

Blahut R.F., Digital transmission of Information, Addison Wesley 1990.

Benedetto S., Biglieri E. and Castellari V., Digital Transmission Theory, Prentice Hall, 1987.

EE704 Artificial Neural Networks                                                                                                                               3 0 0 6    ñ


Introduction: Biological neurons and memory: Structure and function of a single neuron; Artificial Neural Networks (ANN); Typical applications of ANNs : Classification, Clustering, Vector Quantization, Pattern Recognition, Function Approximation, Forecasting, Control, Optimization; Basic Approach of the working of ANN - Training, Learning and Generalization.


Supervised Learning: Single-layer networks; Perceptron-Linear separability, Training algorithm, Limitations; Multi-layer networks-Architecture, Back Propagation Algorithm (BTA) and other training algorithms, Applications. Adaptive Multi-layer networks-Architecture, training algorithms; Recurrent Networks; Feed-forward networks; Radial-Basis-Function (RBF)



Unsupervised Learning: Winner-takes-all networks; Hamming networks; Maxnet; Simple competitive learning; Vector-Quantization; Counter propagation networks; Adaptive Resonance Theory; Kohonen's Self-organizing Maps; Principal Component Analysis.


Associated Models: Hopfield Networks, Brain-in-a-Box network; Boltzmann machine.


Optimization Methods: Hopfield Networks for-TSP, Solution of simultaneous linear equations; Iterated Gradient Descent; Simulated Annealing; Genetic Algorithm.



K. Mehrotra, C.K. Mohan and Sanjay Ranka, Elements of Artificial Neural Networks, MIT Press, 1997 - [Indian Reprint Penram International Publishing (India), 1997]

Simon Haykin, Neural Networks - A Comprehensive Foundation, Macmillan Publishing Co., New York, 1994.

A Cichocki and R. Unbehauen, Neural Networks for Optimization and Signal Processing, John Wiley and Sons, 1993.

J. M. Zurada, Introduction to Artificial Neural Networks, (Indian edition) Jaico Publishers, Mumbai, 1997.

EE705  VLSI Design Lab                                                                                                                                                 1 0 4 6    ñ


Theory: Introduction to Unix; Circuit simulation using SPICE, application of SPICE for analog design. Timing simulation with IRSIM, Design of static and dynamic digital circuits with IRSIM. Layout of integrated circuits. Use of the layout tool MAGIC for analog and digital integrated circuits.


Laboratory: Tutorials on UNIX and vi. Tutorials and design exercises on linear circuit design with SPICE; Tutorial and exercises on digital design and timing analysis using IRSIM; Tutorials and exercises on IC layout using MAGIC; Group projects on design, analysis and layout of integrated circuits.



R. Thomas and J. Yates, A User Guide to the Unix System, McGraw Hill International, 1985.

N.Weste and K. Eshraghian, Principles of CMOS VLSI, 2e, Design, Addision Wesley, 1992.

EE706 Communication Networks                                                                                                                                  3 0 0 6    ñ


Introduction to computer communication networks and layered architecture overview. Packet switching and Fast packet switching.


Point to Point Protocols and links: ARQ retransmission strategies. Selective repeat ARQ. Framing and standard Data Link Control protocol-HDLC, SDLC, LAPD. Queuing models in

communication networks.


Multiaccess Communication and multiple access protocols:


ALOHA, slotted ALOHA, CSMA, CSMD/CD. Performance modelling and analysis.


Local Area Networks: Ethernet, Token Ring and FDDI. Design and analysis.


Internetworking issues: Bridges, Routers and Switched networks. Routing and Flow Control algorithms in data networks.


Broadband Networks: ATM, Frame relay and Gigabit Ethernet. Traffic Management in ATM networks.



R G Gallager and D Bertsekas, Data Networks, Prentice Hall of India, 1992.

J F Hayes, Modelling and Analysis of Computer Communication Networks, Plenum Publishing Corporation, New York, 1984.

W Stallings, Data and Computer Communications, Prentice Hall of India, 1997.

R Rom and M Sidi, Multiple Access Protocols, Springer Verlag, 1990.

M DePrycker, ATM-solutions for Broadband ISDN, Prentice Hall of USA, 1995.

EE708 Information Theory and Coding                                                                                                                        3 0 0 6    ñ


Mutual information, entropy for discrete ensembles; Shannon's noiseless coding theorem; Encoding of discrete sources.


Markov sources; Shannon's noisy coding theorem and converse for discrete channels; Calculation of channel capacity and bounds for discrete channels; Application to continuous channels.Techniques of coding and decoding; Huffman codes and uniquely detectable codes; Cyclic codes, convolutional arithmetic codes.



N. Abramson, Information and Coding, McGraw Hill, 1963.

M. Mansurpur, Introduction to Information Theory, McGraw Hill, 1987.

R.B. Ash, Information Theory, Prentice Hall, 1970.

Shu Lin and D.J. Costello Jr., Error Control Coding, Prentice Hall, 1983.

EE709 Testing and Verification of VLSI Circuits                                                                                                  3 0 0 6     ñ


Scope of testing and verification in VLSI design process. Issues in test and verification of complex chips, embedded cores and SOCs.


Fundamentals of VLSI testing. Fault models. Automatic test pattern generation. Design for testability. Scan design. Test interface and boundary scan. System testing and test for SOCs. Iddq testing. Delay fault testing. BIST for testing of logic and memories. Test automation.


Design verification techniques based on simulation, analytical and formal approaches. Functional verification. Timing verification. Formal verification. Basics of equivalence checking and model

checking. Hardware emulation.



M. Bushnell and V. D. Agrawal, "Essentials of Electronic Testing for Digital, Memory and Mixed-Signal VLSI Circuits", Kluwer Academic Publishers, 2000.

M. Abramovici, M. A. Breuer and A. D. Friedman, "Digital Systems  Testing and Testable Design", IEEE Press, 1990.

T.Kropf, "Introduction to Formal Hardware Verification", Springer Verlag, 2000.

P. Rashinkar, Paterson and L. Singh, "System-on-a-Chip Verification-Methodology and Techniques", Kluwer Academic Publishers, 2001.


EE710 Large Sparse Matrix Computations                                                                                                                 3 0 0 6    ñ


Sparse Matrices, applications in electrical engineering, data structures, linear system solvers, ordering: Markowitz criterion, minimum degree & minimum deficiency ordering for sparse symmetric positive definite matrices, enhancements to MDA, sparse indefinite linear system solvers, eigen value computation, sparse matrix optimization, applications in power systems: state estimation, load flow & optimal power flow



Golub and Van Loan Matrix Computations John Hopkins University Press, Baltimore, 2nd Edition 1989.

Duff, Erisman & Reid, Direct Method for Sparse Matrices Clarendon Press Oxford, 1986.

SIAM Publications.

EE712  Embedded Systems Design                                                               3 0 0 6  ñ


The  concept  of embedded systems design.  Embedded microcontroller cores, embedded memories. Examples of embedded systems.


Technological aspects of embedded systems: interfacing between analog and digital blocks, signal conditioning,  digital  signal  processing. sub-system interfacing, interfacing with external systems, user interfacing. Design trade offs due to process compatibility, thermal considerations, etc.


Software aspects of embedded systems: real  time  programming languages and operating systems for embedded systems.



J.W. Valvano, "Embedded Microcomputor System: Real Time Interfacing", Brooks/Cole, 2000.

Jack Ganssle, "The Art of Designing Embedded Systems", Newnes, 1999.

V.K. Madisetti,  "VLSI Digital Signal Processing", IEEE Press (NY, USA), 1995.

David Simon, "An Embedded Software Primer", Addison Wesley, 2000.

K.J. Ayala, "The 8051 Microcontroller: Architecture, Programming, and Applications", Penram Intl, 1996.

EE713  Circuits Simulation in Power Electronics                                                                                                    3  0  0  6 ñ


Formulation of network equations : Nodal, Mesh, Modified Nodal and Sparse Tableau Analysis, Sparse matrix techniques, solution of nonlinear equations by Newton_Raphson method, Multistep methods : Convergence and stability, special classes of multistep methods, Adaptation of multi-step methods to the solution of electrical networks, general-purpose circuit simulators, Introduction to machine modeling : induction, DC, and synchronous machines, Simulation of three-phase converters: fundamentals of switching behaviour, space vector representation, modulation methods.  Interaction between power electronic converters and rotating machines.  Power electronic converters in power distribution systems, DC to DC converters.


L.O. Chua and P.M. Lin, "Computer-aided analysis of electronic circuits", Prentice Hall, 1975.

N.J. McCalla, "Fundamentals of computer-aided circuit simulation", Kluwer Academic Publishers, 1988.

N. Mohan, T.M. Udeland, and W.P. Robbins, "Power Electronics: Converters, Applications, and Design," J. Wiley and sons, New York, 1994.

P.C. Krause, "Analysis of electric machinery", McGraw Hill, New York, 1986.



EE714 Behavioral Theory of Systems                                                                                                                          3 0 0 6   ñ


Behavioral models of dynamical systems motivated from problems of electrical circuits, electromechanical and hybrid systems, heat conduction etc. Behavioral modeling from time series. Controllability, observability and trimness. Characterization of dissipative and lossless systems. Conservation principles. Generalized Lyapunov Stability theory. Theory of interconnections, decompositions and control.



J. W. Polderman & J. C. Willems: Mathematical systems theory : A behavioral approach. Springer Text in Applied Mathematics No.62, 1998.

B.D.O. Anderson and S. Vongpanitlered: Network analysis and synthesis - A modern systems theory approach. Prentice Hall, 1973.

J.H. Williams Jr.: Fundamentals of applied dynamics. John Wiley & Sons, 1996.

R. A. Layton: Principles of analytical systems dynamics. Springer Verlag 1998.


EE715 Digital Signal Processing Lab                                          3 0 0 6  ñ


(To supplement EE-603 )


EE717  Advanced Computing for Electrical Engineers           3 0 0 6  ñ


Data Structures: Arrays, Linked Lists, Stacks, Queues, Trees; Algorithms: Sorting, Searching, Tree algorithms, Graph

algorithms; Operating System Concepts: Processes, Threads, Memory management; Software Engineering: Practical introduction to the program lifecycle consisting of function specification, code design and testing;  Parallel Programming: Concurrency, Mutual Exclusion, Pthreads, MPI; Case studies illustrating the concepts taught in the course;



Algorithms in C++, Robert Sedgewick, 3rd Edition

 Operating System Concepts, Abraham Silberschatz, Peter B.

Galvin, Greg Gagne, 8th edition.





EE718 Aids for the motor and sensory disabled                                                                                                           3 0 0 6  ñ


1.    Locomotion and sensory faculties - muscles and muscle control, vision, auditon, touch and proprioception.


2.    Disabilities due to disease and trauma. Paralysis of movement, sensory loss. Degrees of loss. Combinations of loss. Statistical distribution of disabilities in the population.


3.    Assessment and evaluation of disability. Resolution, speed and dexterity. Methods and devices for measurement. Movement analysis for walking and hand dexterity. Visual and auditory testing. Balance, proprioception and touch mapping.


4.    Aids for the disabled. Mobility aids and patient interfaces. Sensory aids. Mobility aids: wheelchairs, artificial limbs. Design specifications. Aids for the blind- mobility aids, reading aids. Design examples. Aids for the hearing impaired. Design examples. Additional requirements of sids for mulitple disabilities- motor+sensory loss, motor+visual loss, etc.


5.    Safety issues. Special safety needs for those with motor and/or sensory disabilities.


6.    Cost of production and maintenance. Socioeconomics of disabilities in India


7.    Seminar and design project.



Webster, Cook, Tompkins & Vanderheiden, Electronic devices for rehabilitation. Chapman & Hall, 1985.


EE 719 Mixed Signal VLSI Design                                                                                                  3 0 0 6
Prerequisite: EE618


Review of continuous-time filters, Discrete-time filters, Analog and discrete-time signal processing, Analog integrated continuous-time and discrete-time (switched-capacitor) filters.

Basics of Analog to digital converters (ADC), Basics of Digital to analog converters (DAC), DACs, Successive approximation ADCs, Dual slope ADCs, High-speed ADCs (e.g. flash ADC, pipeline ADC and related architectures), High-resolution ADCs (e.g. delta-sigma converters)


Mixed-Signal layout, Interconnects, Phase locked loops, Delay locked loops.


Text references-

1) CMOS mixed-signal circuit design by R. Jacob Baker, Wiley India, IEEE press, reprint 2008.

2) Design of analog CMOS integrated circuits by Behzad Razavi, McGraw-Hill, 2003.

3) CMOS circuit design, layout and simulation by R. Jacob Baker, Revised  second edition, IEEE press, 2008.

4) CMOS Integrated ADCs and DACs by Rudy V. dePlassche, Springer, Indian edition, 2005.

5) Electronic Filter Design Handbook by Arthur B. Williams, McGraw-Hill, 1981.

6) Design of analog filters by R. Schauman, Prentice-Hall 1990 (or newer additions)

7) An introduction to mixed-signal IC test and measurement by M. Burns et al., Oxford university press, first Indian edition, 2008.



EE720  An Introduction to Number Theory and Cryptography                                                                                 3 0 0 6 ñ


SOME TOPICS IN ELEMENTARY NUMBER THEORY: Time estimates for doing arithmetic. Divisibility and the Euclidean algorithm. Congruences. Some applications to factoring.


FINITE FIELDS AND QUADRATIC RESIDUES: Finite fields. Quadratic residues and reciprocity.


CRYPTOGRAPHY: some simple cryptosystems. Enciphering matrices.


PUBLIC KEY: The idea of public key cryptography. RSA.  Discrete log.


ELLPTIC CURVES: Basic facts. Elliptic curve cryptosystems.



Neal Koblitz, A Course in Number and Theory and Cryptography, Graduate Texts in Mathematics No.114, Springer-Verlag, New York/Berlin/Heidelberg, 1987.


Additional references:


Alan Baker, A Concise Introduction to the Theory of Numbers, Cambridge University Press, New York/Port Chester/Melbourne/Sydney, 1990.

A.N. Parshin and I.R. Shafarevich (Eds.), Number Theory, Encyclopaedia of Mathematics Sciences, Volume  49, Springer-Verlag, New York/Berlin/Heidelberg, 1995.

John Stillwell, Elements of Number Theory, Undergraduate Texts in Mathematics, Springer-Verlag, New York/Berlin/Heidelberg, 2003.

Henk C.A. van Tilborg, An Introduction to Cryptology, Kluwer Academic Publishers, Boston/Dordrecht/Lancaster, 1988.

 Andre Weil, Number Theory for Beginners, Additional references:


EE721 Hardware Description Languages                                                                                  3 0 0 6   ñ


Basic concepts of hardware description languages. Hierarchy, Concurrency,Logic and Delay modeling. Structural, Data-flow and Behavioural styles of hardware description. Architecture of event driven simulators.


Syntax and Semantics of VHDL. Variable and signal types, arrays and attributes. Operators, expressions and signal assignments. Entities, architecture specification and configurations. Component instantiation. Concurrent and sequential constructs. Use of Procedures and functions, Examples of design using VHDL.


Syntax and Semantics of Verilog. Variable types, arrays and tables. Operators, expressions and signal assignments. Modules, nets and registers, Concurrent and sequential constructs. Tasks and functions, Examples of design using Verilog. Synthesis of logic from hardware description.


Texts/References :


J. Bhaskar, "VHDL Primer", Pearson Education Asia 2001.

Z. Navabi, "VHDL", McGraw Hill International Ed. 1998.

S. Palnitkar, "Verilog HDL: A Guide to Digital Design and Synthesis", Prentice Hall NJ, USA), 1996.

J. Bhaskar, "Verilog HDL Synthesis - A Practical Primer", Star Galaxy Publishing,(Allentown, PA) 1998.



EE 722 Restructured Power Systems                                                                                                                      3 0 0 6


Fundamentals of restructured system, Market Architecture, Load Elasticity, Social welfare maximization, OPF: Role in vertically integrated systems and in restructured markets,  Congestion Management, Optimal Bidding, Risk assessment and Hedging,  Transmission Pricing and Tracing of power, Ancillary Services, Standard Market Design,  Distributed Generation in restructured markets, Developments in India, IT applications in restructured markets, Working of restructured power systems : PJM


Text / References :


1.  Understanding electric utilities and de-regulation, Lorrin Philipson, H. Lee Willis, Marcel Dekker Pub., 1998.

2.  Power system economics:  designing markets for electricity Steven Stoft, John Wiley & Sons, 2002.

3. Operation of restructured power systems. Kankar Bhattacharya,  Jaap E. Daadler, Math H.J. Boolen, Kluwer Academic Pub., 2001.

4. Restructured electrical power systems: operation, trading and volatility Mohammad Shahidehpour, Muwaffaq Alomoush, Marcel Dekker Pub., 2001.



EE 723  Physics of Nanoelectronic Devices I                                                                                                             3 0 0 8


Particles and waves, the time-independent Schrödinger equation, states and operators, particle-in-a-box, density-of-states, harmonic oscillator, hydrogen atom, tunneling, two-level systems ;

Electrons in a crystal lattice, quantum well, wire and dot devices, interacting quantum wells, scanning probe microscopy, excitons in semiconductors, spin-1/2 systems and quantum bits ;

Identical particles – fermions and bosons, field quantization: phonons and photons;

Classical and quantum density, entropy and information, statistical ensembles, Bose-Einstein and Fermi-Dirac statistics – applications to electronic devices;

Non-equilibrium statistical mechanics – transition probabilities, the master equation, the Boltzmann Transport Equation for electrons in solids;

Perturbation theory, scattering rates and lifetimes in electronic devices;

honon scattering in semiconductors, absorption and emission of photons in semiconductors: lasers and solar cells



Hagelstein, Senturia and Orlando, “Introductory Applied Quantum and Statistical Mechanics”, Wiley 2004;

Griffiths, “Introduction to Quantum Mechanics”, Prentice Hall 1995,

Gershenfeld, “The Physics of Information Technology”, Cambridge University Press, 2000.




EE 724 Nanoelectronics                                                                                                                                                3 0 0 6


Shrink-down approaches: Introduction, CMOS Scaling, The nanoscale MOSFET, Finfets, Vertical MOSFETs, limits to scaling, system integration limits (interconnect issues etc.), Resonant Tunneling Transistors, Single electron
transistors, new storage, optoelectronic, and spintronics devices.

Atoms-up approaches: Molecular electronics involving single molecules as electronic devices, transport in molecular structures, molecular systems as alternatives to conventional electronics, molecular interconnects; Carbon
nanotube electronics, bandstructure & transport, devices, applications.

1. Introduction to Nanotechnology, C.P. Poole Jr., F.J. Owens,Wiley  (2003).
2: Nanoelectronics and Information Technology (Advanced Electronic Materials and Novel Devices), Waser Ranier, 

    Wiley-VCH (2003)

3. Nanosystems, K.E. Drexler, Wiley (1992)
4. The Physics of Low-Dimensional Semiconductors, John H. Davies, Cambridge University Press, 1998
5.  Research Papers

 EE725 Computational Electromagnetics                                                                                   3 0 0 6


Introduction to electromagnetic fields: review of vector analysis,  electric and magnetic potentials, boundary conditions, Maxwell's

equations, diffusion equation, Poynting vector, wave equation


Finite Difference Method (FDM): Finite Difference schemes, treatment of  irregular boundaries, accuracy and stability of FD solutions,

Finite-Difference Time-Domain (FDTD) method


Finite Element Method (FEM): overview of FEM, Variational and Galerkin Methods, shape functions, lower and higher order elements, vector

elements, 2D and 3D finite elements, efficient finite element computations


Method of Moments (MOM): integral formulation, Green's functions and numerical integration, other integral methods: boundary element method,

charge simulation method


Special topics: hybrid methods, coupled circuit - field computations, electromagnetic - thermal and electromagnetic - structural coupled

computations, solution of equations.


Applications: low frequency and high frequency electrical devices, static / time-harmonic / transient problems in transformers, rotating machines,

waveguides, antennas, scatterers


Texts / References:

1.      M. V. K. Chari and S. J. Salon, Numerical methods in electromagnetism, Academic Press, 2000.

2.      M. N. O. Sadiku, Numerical techniques in electromagnetics, CRC Press, 1992.

3.      N. Ida, Numerical modeling for electromagnetic non-destructive evaluation, Chapman and Hall, 1995.

4.      S. R. H. Hoole, Computer aided analysis and design of electromagnetic devices, Elsevier Science Publishing Co., 1989.

5.      J. Jin, The Finite Element Method in electromagnetics, 2nd Ed., John Wiley and Sons, 2002.

6.      P. P. Silvester and R. L. Ferrari, Finite elements for electrical engineers, 3rd Ed., Cambridge University Press, 1996.




EE 727  Physics of Nanoelectronic Devices II                                                                                                            3 0 0 8


Pre-requisties Physics of Nanoelectronic Devices – Ior equivalent, undergraduate-level engineering mathematics – linear algebra, differential equations, Fourier analysis (MA 106, MA108, MA205, MA207 or equivalent), engineering physics (PH103 or equivalent), and post-graduate level solid-state devices (EE661 or equivalent).


Atomic structure: crystal structure, defects in solids; Electronic structure: energy bands in solids, electron-electron interactions, bandstructure calculations, bandstructure engineering, Mechanical properties: Phonon engineering, elasticity and strain engineering, Semi-classical transport properties: dynamics of Bloch electrons, Zener tunneling and its device applications, the Boltzmann Transport Equation and its moments, drift-diffusion, hydrodynamic equations and Monte-Carlo simulation of semiconductor devices, thermoelectric and magnetoelectric phenomena; Nanoscale transport properties: scattering formalism, ballistic nano-transistors, Green’s functions, Feynman paths, quantum-interference devices; Optical properties: Maxwell’s equations in dielectric media, polarization in insulators, ferroelectrics, polarons and polaritons, direct and indirect transitions in semiconductors, excitons, optoelectronic and photovoltaic devices, frequency response of metals – skin-depth, plasma frequency, plasmonic devices; Magnetic properties: Diamagnetism and paramagnetism of ions and electrons, magnetic interactions and ferromagnetic ordering, mean field theory, symmetry-breaking and phase transitions, spintronic devices




EE 728 Growth and Characterization of Nano-electronic Materials                  3 0 0 6


Prerequisite : EE 724


A selection of topics from the following: Basic Growth Concepts: growth modes; crystallization phenomena; defects . Fundamentals and analysis of epitaxy: liquid phase epitaxy; molecular beam epitaxy; Chemical vapor deposition; LPCVD examples (SiO2, Si3N4, Poly-Si, Silicon epitaxy); MOCVD, examples: dielectrics, epitaxy of III-V; PECVD; ALD. Material Systems and Structures: GaAs and InP based materials : AlGaAs, GaInAs and InGaAsP; substrates, material purity, doping, ordering; heterostructures, interfaces; strained layer growth, critical thickness; Group III nitrides: AlGaInN and InGaAsN; Device structures : Detectors, Lasers, HEMTs. Characterization of Nanoelectronic Materials: Photoluminescence; X-Ray diffraction; Transmission Electron Microscopy;Deep Level Transient spectroscopy; Atomic Force Microscopy; Secondary Electron Microscopy.




M. A. Herman, W. Richter and H. Sitter, Epitaxy: Physical principles and technical implementation, Springer, Berlin 2004.

G. B. Stringfellow, Organno-metallic Vapor Phase Epitaxy: theory and practice, Academic Press, Boston, 1989.

G. M. Blom, Liquid Phase Epitaxy, North-Holland, Amsterdam, 1974D. K. Schroder, Semiconductor Material and Device Characterization, Wiley-Interscience, New York, 1990. Research Papers



EE 731 Design of Experiment /Taguchi Method for Experimental Research                  3 0 0 6


1. Fundamentals of classical statistical methods: Normal Probability distribution; Statistical analysis of Means and Variance; Evolution of Taguchi Methods.
2. Fundamentals of Taguchi Methods: Basic philosophy of Taguchi loss function and robust design; 8-steps in Taguchi Method; P-diagrams of Static and Dynamic problems; Definitions of signal, noise and control
factors;  Degrees of freedom; Linear graphs and orthogonal arrays and their designs; Definitions of Signal to Noise ratio; Evaluation of sensitivity to noise; Resolution of design; Analysis of Means, Means Plots and Analysis of Variance; Prediction of optimum conditions; Prediction of error variance.
3. Design of Experiments for Robust Design: Identification of signal, noise and control variables; Identification and selection interactions; Control factors and their levels; Strategies for experimentation using Taguchi methods, beginner, intermediate and advanced strategies; Selection of design of orthogonal array, Modification of orthogonal
arrays and linear graphs; Performing matrix experiments; Methods of analyzing experimental data; Interpretation of results.
4. Application Examples: Application of design of experiments for circuit design for temperature insensitivity, robust design of sensors with reduced cross-sensitivities, designing robust processes: machining and cutting tool wear analysis, surface quality optimization, metallurgical structure optimization; packaging related wire and die bonding optimization; Application of design of experiments for optimizing product performance and process yield.

Texts / References:


M.S. Phadke, "Quality Engineering using Robust Design" Prentice Hall (1989)
EE732 Combinatorial Optimization                                                                                                                       3 0 0 6

Pre-requisite : EE635 Applied Linear Algebra or equivalent



I.  Brief Overview of Linear and Nonlinear Programming. Kuhn-Fourier Elimination Scheme, Farkas Lemma; Constrained Optimization through Lagrange multipliers for equation and inequality based systems; Karush-Kuhn-Tucker Theorem, Strong Duality Theorem of Linear Programming;


II Network Flows.

Max-flow Mincut Theorem, Algorithms for maximizing flows, min cost flow Problem and its electrical equivalent; Menger's Theorems.


III Graph Optimization Problems.

Maximum spanning tree, matching  and covering, shortest path problem, graph colouring problems.


IV Introduction to Matroids.

Axioms for matroids; The greedy algorithm and the related characterization of matroids.



Douglas B. West, Introduction to Graph Theory Second edition: Prentice Hall 2001

A.Schrijver, Theory of Linear and Integer Programming, Wiley, Chichester, 1986

C.H. Papadimitriou, K.Steiglitz, Combinatorial optimization: algorithms and complexity, Dover Pubns, July 1998.

H.Narayanan, Submodular functions and Electrical Networks, (vol 54) Annals of Discrete Maths, North Holland,1997, 2nd edition at 2009.



EE 733 Solid State Devices                                                                                                              3 0 0 6


Electrons in solids; Band theory; Charge carriers in semiconductors; Boltzmann Transport Equation; p-n junctions, Schottky and MIS contacts;  Field-effect transistors;

Bipolar transistors; Optoelectronic and photovoltaic devices


Texts / References:


Streetman and Banerjee, “Solid State Electronic Devices”, Prentice Hall, 6/e 2005;

Sze and Ng, “Physics of Semiconductor Devices”, Wiley-Interscience, 3/e 2006;

K. Hess, “Advanced Theory of Semiconductor Devices”, Prentice-Hall, 1988;

Singh, “Semiconductor Devices: Basic Principles”, Wiley, 2000.


EE 734  Advanced Probability and Random Processes for Engineers                                  3  0  0  6


Pre-requisites :  EE 325 or EE 601 or an equivalent basic course on probability and random processes.


Probability spaces, random variables, expectation, uniform integrability, independence, stochastic convergence, limit theorems, conditioning, Markov chains, martingales, Brownian motion, Poisson process, examples from electrical engineering.


Texts / References:

E. Wong and B. Hajek, Stochastic Processes in Engineering Systems, Springer Verlag, New York, 1984.

L. Breiman, Probability, SIAM, Philadelphia. 1992.


EE 735 Microelectronics Simulation Laboratory                        3 0 0 6


·         Familiarization with TCAD software; semiconductor process simulation – CMOS structure design; semiconductor device simulation – CMOS inverter design; device parameter extraction for circuit-simulation (lecture and lab sessions)


·         Familiarization with compact models and transistor-level circuit simulation (lecture and lab sessions).


·         Familiarization with a typical custom IC design flow using open source design tools (lecture and lab sessions). Schematic capture, circuit simulation, layout design, design rules, layout extraction and post-layout simulation circuit design software. Analog and digital functional modules will be used as test benches for lab experiments. CMOS technology will be the main focus of the lab and available devices in this technology including MOS transistors, passive components and BJTs will be explored and used.  At the time of this proposal NGSPICE and MAGIC are two examples of open source CAD tools which will be explored in this course. However instructors will introduce any useful new free academic EDA tool which may be developed in the future. 


Texts / References:


Plummer, Deal and Griffin, “Silicon VLSI Technology: Fundamentals, Practice and Modeling”, Prentice Hall, 2000;

Wolf, “Silicon Processing for the VLSI Era, Volume 3 – The Submicron MOSFET”, Lattice Press, 1990

Massobrio and Antognetti, “Semiconductor Device Modeling with SPICE”, McGraw Hill, 1993;

R. Jacob Baker, CMOS: Circuit Design, Layout, and Simulation, Revised Second Edition, 2008, Wiley-IEEE; (GNU general public license toolkit of EDA tools).



EE 736 Introduction to Stochastic Optimization                                                  3 0 0 6


Pre-requisites :  EE 325 or EE 601 or an equivalent basic course on probability and random processes.


Review of probability theory; Stochastic approximation algorithms: stability and convergence, asynchronous implementations, two time scale schemes, examples from electrical engineering; Markov chain Monte Carlo: variance reduction, simulated annealing; Markov decision processes: stochastic dynamic programming, computational schemes, state and parameter estimation, control under partial observations, adaptive control, learning algorithms.


Texts / References:


J. Spall, Introduction to Stochastic Search and Optimization, Wiley-Interscience, New York, 2003.

Sheldon Ross, Introduction to Stochastic Dynamic Programming, Academic Press, New York, 1995.

S. Asmussen and P. W. Glynn, Stochastic Simulation, Springer Verlag, New York, 2007.



EE 737 Introduction to Stochastic Control         3 0 0 6



Pre-requisites :  EE 325 or EE 601 or an equivalent basic course on probability and random processes.

Review of probability theory, Controlled Markov chains: dynamic programming and computational schemes; Linear stochastic control: LQG problem, Kalman filter and separation principle; Introduction to stochastic differential equations and continuous time stochastic; control: Hamilton-Jacobi-Bellman equation, nonlinear filtering


Texts / References:


J. Spall, Introduction to Stochastic Search and Optimization, Wiley-Interscience, New York, 2003.

Sheldon Ross, Introduction to Stochastic Dynamic Programming, Academic Press, New York, 1995.

S. Asmussen and P. W. Glynn, Stochastic Simulation, Springer Verlag, New York, 2007.


EE740 Advanced Communications Network                                                                             3 0 0 6    ñ


Overview of Internet-Concepts, challenges and history. Overview of high speed networks-ATM. TCP/IP Congestion and Flow Control in Internet-Throughput analysis  of TCP congestion control. TCP for high bandwidth delay networks. Fairness issues in TCP.


Real Time Communications over Internet. Adaptive applications. Latency and throughput issues. Integrated Services Model (intServ). Resource reservation in Internet. RSVP.


Characterization of Traffic by Linearly Bounded arrival Processes (LBAP). Concept of (o,, p) regulator. Leaky bucket algorithm and its properties.


Packet Scheduling Algorithms-requirements and choices. Scheduling guaranteed service connections. GPS, WFQ and Rate proportional algorithms. High speed scheduler design. Theory of Latency Rate servers and delay bounds in packet switched networks for LBAP traffic.


Active Queue Management - RED, WRED and Virtual clock. Control theoretic analysis of active queue management.


IP address lookup-challenges. Packet classification algorithms and Flow Identification- Grid of Tries, Cross producting and controlled prefix expansion algorithms.


Admission control in Internet. Concept of Effective bandwidth. Measurement based admission control. Differentiated Services in Internet (DiffServ). DiffServ architecture and framework.


IP switching and MPLS-Overview of IP over ATM and its evolution to IP switching. MPLS architecture and framework. MPLS Protocols. Traffic engineering issues in MPLS. [P control of Optical Routers. Lamda Switching, DWDM Networks



Jean Wairand and Pravin Varaiya, High Perforamnce Communications Networks, Second Edition, 2000

Jean Le Boudec and Patrick Thiran, Network Calculus A Theory of Deterministic Queueing Systems for the Internet, Springer Veriag, 2001.

Zhang Wang, Internet Qo,5, Morgan Kaufman 2001

George Kesidis, ATM Network Performance, Kluwer Academic, 2000 5. Research Papers.


EE760 Advanced Network Analysis                                                                             3 0 0 6   ñ


Network topology: Matrices associated with graphs, the  short circuit  and  open circuit operations,  their  generalization through  the  use  of ideal  transformers  and  vector  space operations corresponding to these operations.


Theorems of Tellegen and Minty: Formal equivalence, areas of applications.


The  Implicit  Duality   Theorem  and    its    applications:  Multiport   decomposition,   ideal  transformer resulting from   the   connection   of   ideal transformers,    adjoint   networks    and    systems,    networks  with   decomposition methods  based  on altering network  topology,  ideal  diode, ideal  transformer,  resistor  circuits  and their relation to Linear and Quadratic Programming.



S.Seshu and M.B.Reed, Linear Graphs and Electrical  Networks, Addison Wesley, 1961.

H.Narayanan,  Submodular Functions and  Electrical  Networks, Annals of Discrete Maths, vol-54, North Holland,1997.


EE764 Wireless and Mobile Communications                          3 0 0 6  ñ


Introduction   to  mobile  communication.   Cellular   mobile telephone architecture overview.


Cellular   radio  system  design--   Frequency   assignments, frequency reuse channels. Concept of cell splitting. Handover in cellular systems. Handoff algorithms.


Multiple access schemes in mobile communications--TDMA, FDMA, CDMA.  Random Multiple Access Schemes.  Performance  analysis issues.  MAC  layer scheduling and  connection  admission  in mobile  communication.  Interference  suppression  and  Power control.


Teletraffic  modelling  and Queeuing  theoretic  analysis  of cellular  mobile networks. Resource allocation  and  mobility management.


Practical  Cellular  mobile  systems-- AMPS  and  GSM  system architecture overview. Call management and system  operation. CDMA based cellular system. Wireless in Local Loop--DECT and CDMA WLL.




WCY Lee,  Mobile Cellular Telecommunications Systems,  McGraw Hill International Editions 1990.

WCY Lee,  Mobile Communications Design Fundamentals, Prentice Hall, 1993.

Raymond Steele,  Mobile Radio Communications, IEEE Press, New York, 1992.

AJ   Viterbi,    CDMA:   Principles   of   Spread    Spectrum Communications,  Addison Wesley, New York, 1995.

VK Garg and JE Wilkes,  Wireless and personal  Communication  Systems, Prentice Hall, 1996.                                         ñ



EE 779 Advanced Topics in Signal Processing               3 0 0 6



Course Name: Description:

Introduction - Relevant concepts in DSP, linear algebra, matrix analysis, and statistical signal analysis (as needed) Spectral estimation (temporal) - Non-parametric spectrum estimation - Parametric methods for rational spectra (ARMA, MA, AR processes) and line spectra; Array signal processing (spatial) - Arrays and spatial filters, space-time processes - Waveform estimation - broadband and narrowband beamformers - Subspace algorithms - MUSIC, ESPRIT, Root-MUSIC - Applications - direction-of-arrival (DOA) estimation, signal separation; Selected topics in sampling and reconstruction - Dithered sampling, use of a random dither - Sampling, quantization, and interpolation - Sampling of non-bandlimited signals - Finite rate of innovation signals; Change point problems - Canonical change point problems - Non-parametric and Bayesian approaches to the change-point problems - Feedback in change point problems; Approximations in bases and compression - Linear and non-linear approximations - Karhunen Loeve approximations - Transform coding -

Distortion rate of quantization Sparse signal processing - Sparse representation and recovery, pursuit algorithms, compressive sensing; Monte Carlo methods in signal processing - Particle filter Inference in Hidden Markov Models, Expectation- Maximization (EM) algorithm



1. Petre Stoica and Randolph Moses, ``SpectralAnalysis of Signals``, Prentice Hall, 2005.

2. Jacob Benesty, Jingdong Chen, and YitengHuang, ``Microphone array signal processing``,Springer, 2008.

3. Harry L. Van Tress, ``Optimum Array Processing``, Part IV of Detection,Estimation, and Modulation Theory, Wiley Interscience, 2002.

4. Stefane Mallat, ``A wavelet tour of signal processing: the sparse way``, Academic Press, 2010.

5. James Candy, ``Bayesian Signal Processing``,Wiley & Sons., 2009.

6. Olivier Cappe, Eric Moulines, and Tobias Ryden,``Inference in Hidden Markov Models``, Springer Series in Statistics, 2005.

7. Arnaud Doucet and A.M. Johansen, ``A Tutorial on Particle Filtering and Smoothing: Fifteen years Later``, in Handbook of Nonlinear Filtering

   (eds. D. Crisan et B. Rozovsky), Oxford UniversityPress, 2011.

8. Y. C. Eldar and G. Kutyniok, ``Compressed Sensing: Theory and Applications ``, Cambridge University Press, 2011.

9. Research publications that will be suggested during the course.