Continuous-time and discrete-time signals and systems, and their examples;
Linear systems, linear time/shift invariant systems; Impulse response,
convolution, and filtering; The Fourier transform; Fourier representations
of continuous-time and discrete-time signals; Lowpass, bandpass, and
highpass systems; Stability and pole zero properties of linear shift
invariant systems; Z-transform and Laplace transform; Sampling and
reconstruction of bandlimited signals; Approximate reconstruction methods
(zero-order hold); The discrete Fourier transform and the fast Fourier
transform (FFT) algorithm; Implementation of discrete-time systems using
FFT; Introduction to contemporary practice and examples.