Faculty of Science

Objectives

To understand the basic properties of discrete-time signals and systems.

Contents

Discrete-time systems; Properties of sequences; Linear constant-coefficient difference equations; Fourier representation of sequences; Sampling; Z-Transform; Inverse Z-transform; Properties of Z-transform; Application to solving difference equations; Network realizations; Basic forms (DF-I, DF-II, cascade, parallel); Transposed forms; IIR network structures; FIR network structures; Quantization effects; Discrete Fourier transform; Discrete Fourier series and properties; Discrete Fourier transform and properties; Circular convolution; Fast Fourier transform; Decimation in time algorithm; Decimation in frequency algorithm; Computational aspects; Review of analogue filter properties; Design of IIR filters; Solution to difference equation; Impulse invariance; Bilinear transformation; Design of FIR filters; Windows; Frequency sampling; Equiripple approximation.