Introduction to DSP and its applications.

Sampling of continuous-time signals, Sampling Theorem, Reconstruction.

Discrete-time signals and their classification, Impulse response, step response and response to arbitrary inputs, Discrete-time convolution

Definition,  Regions of convergence, Properties of the Z-transform, Inverse Z-transform

Systems represented by linear constant coefficient difference equations, Flow graph and block graph representations.

Introduction, Direct forms I and II, parallel and cascade realisations.

Discrete Fourier Series (DFS), Discrete Fourier Transform (DFT), Properties of the DFT, Implementation of the DFT: FFT algorithm, Filtering in the frequency domain

IIR filter design: Impulse invariance and bilinear transformation methods, FIR filter design: Frequency sampling and windowing methods.