
DIGITAL SIGNAL PROCESSING
Prerequisites:

Signals and Systems. 
Examination methods:

Written exam and home assignment. 
Course unit contents:

Shift invariant discrete time linear systems: convolution; stability; causality; linear constant coefficient difference equations; FIR and IIR linear filters. Ztransform; transfer function and frequency response: simple examples of lowpass/highpass, bandpass/bandstop, and allpass transfer functions. Linear phase FIR filters. DFT: definition, properties and usage in practical contexts; FFT algorithms; fast convolution algorithms.
IIR filter design using the bilinear transformation method; Butterworth, Chebyschev and Cauer filters; frequency transformations. Design of linear phase FIR filters: windowed Fourier series technique; frequency sampling method; minimization of the Chebyschev norm (Remez algorithm).
Direct form, cascade, and parallel realizations.
Multirate linear systems: interpolation and decimation; efficient realizations.
Examples of application. 

