Lecturer: Eugenio Costamagna  

Course name: Elaborazione numerica dei segnali
Course code: 064030
Degree course: Ingegneria Elettronica
Disciplinary field of science: ING-INF/03
L'insegnamento è caratterizzante per: Ingegneria Elettronica e delle Telecomunicazioni
University credits: CFU 5
Course website: http://tlclab.unipv.it/sito_tlc/downloads.do

Specific course objectives

mathematical treatment of time-discrete signals and systems. Z-transform of signals represented by difference equations. Design of simple FIR and IIR numerical filters for deteministic and stochastic signals. Spectrum estimation for discrete signals.

Course programme

Introduction to digital signal theory
* Time discrete signals * Sampling theorem complements * Linear shift invariant digital systems

Analysis of digital systems in the Fourier transform and Z transform domains

• Definition and properties of the Z transform
• Definition and properties of the Z discrete time Fourier transform (DTFT)
• The discrete Fourier transform (DFT)
• The fast Fourier transform (FFT)

Digital filter design

• Infinite impulse response (IIR) filters
• Finite impulse response (FIR)filters
• Windowing techniques
• Quantization effects

Spectral analysis

• All zero analysis
• All pole analysis
• MA, AR and ARMA spectrum estimation

Linear prediction, optimum filtering

• Linear prediction and MA, AR and ARMA analysis
• Linear filters, matched filters, Wiener filters, LMS, RLS and Kalman algorithms

Multi rate systems

• Decimation and interpolation
• Poliphase filters
• Octave filters banks
• Wavelet and wavelet frames
• 2D filtering elements

Course entry requirements

Course structure and teaching

Lectures (hours/year in lecture theatre): 30
Practical class (hours/year in lecture theatre): 20
Practicals / Workshops (hours/year in lecture theatre): 0
Project work (hours/year in lecture theatre): 0

Suggested reading materials

M.H. Hayes. Statistical Digital Signal Processing and Modeling. Wiley.

A.V. Oppenheim, R.W.Schafer. Elaborazione numerica dei segnali. Franco Angeli Editore, 1983.

Testing and exams

Exam consists of a written test followed by an oral test.