Introduction to continuous and Discrete-time signal and Sequence, introduction to system and its properties: Linearity, time invariance and causality, Analysis of A LTI System: (a) impulse response, Convolution sum convolution integral (b) differential equation and Difference equation (c) transform domain considerations: Laplace transform and Z-transform, Applications of transforms to discrete and continuous time system analysis, Transfer function, block diagram representation. Fourier Series and Fourier Transform (FT), Discrete-time FT (DTFT),Discrete FT (DFT), fast Fourier transform (FFT). Sampling theorem, Design of Digital filters: (a) FIR, and (b) IIR
Introduction to spectral estimation.