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Risorse bibliografiche
Risorsa bibliografica obbligatoria
Risorsa bibliografica facoltativa
Scheda Riassuntiva
Anno Accademico 2018/2019
Scuola Scuola di Ingegneria Industriale e dell'Informazione
Insegnamento 052845 - SIGNALS AND SYSTEMS
  • 053413 - SIGNALS AND SYSTEMS MODULE 2
Docente Docente Non Definito
Cfu 5.00 Tipo insegnamento Modulo Di Corso Strutturato

Corso di Studi Codice Piano di Studio preventivamente approvato Da (compreso) A (escluso) Insegnamento
Ing Ind - Inf (Mag.)(ord. 270) - MI (263) MUSIC AND ACOUSTIC ENGINEERING*AZZZZ052845 - SIGNALS AND SYSTEMS

Obiettivi dell'insegnamento

This course focuses on the analysis of signals (sound, acoustic pressure, voltage, images, etc.) and the systems that act on them (acoustic resonators and environments, circuits, mechanical devices, etc.). We concentrate on the Fourier Transform and Linear-Time Invariant Systems, providing the fundamental mathematical tools for sampling, manipulating, preserving, and interpreting information signals.

This second module of the course is dedicated to digital signals and systems.


Risultati di apprendimento attesi

Expected learning outcomes

 

Knowledge:

- An in-depth understanding of the fundamental mathematical tools for the representation and decomposition of digital signals

- An in-depth understanding of how analog systems generate digital signals and/or interact with them.

 

Skills:

- Ability to derive suitable models of linear-time invariant digital systems, and appropriate representations of the related signals.


Argomenti trattati
  • Sampling – The sampling theorem; numerical computation of Fourier Transform: the Discrete Fourier Transform (DFT); the Fast Fourier Transform (FFT)
  • Discrete-Time Signals and Systems – Some useful Discrete-Time signal models; sampling Continuous-Time sinusoids and aliasing; useful signal operations; examples of Discrete-Time systems.
  • Time-Domain Analysis of Discrete-Time Systems – Discrete-Time system equations; system response to internal conditions: Zero-Input Response; Unit Impulse Response h[k]; System Response to External Input: Zero-State Response; classical solution of linear difference equations; system stability; determining Impulse Response.
  • Fourier Analysis of Discrete-Time Signals – Periodic signal representation by Discrete-Time Fourier Series; aperiodic signal representation by Fourier integral; properties of DTFT; DTFT connection with the Continuous-Time Fourier Transform; Discrete-Time linear system analysis by DTFT; signal processing using DFT and FFT; generalization of DTFT to the Z-transform.
  • Discrete-Time system analysis using the Z-transform – The Z-Transform; some properties of the Z-transform; Z-transform solution of linear difference equations system realization; connection between the Laplace and the Z-Transform sampled-data (hybrid) systems; the bilateral Z-transform.
  • Frequency Response and Digital Filters – Frequency response of discrete-time systems; frequency response from pole-zero location; digital filters; filter design criteria; recursive filter design: the impulse invariance method; recursive filter design: the bilinear transformation method; nonrecursive filters; nonrecursive filter design.
  • Introduction to multirate systems – Downsampling and upsampling; decimation and interpolation; resampling.
  • Fundamentals of statistical signal processing – Random sequences: expectation, i.i.d sequences, jointly distributed random sequences; correlation and covariance sequences; time averages and ergodicity. Introduction to spectral estimation: power spectral density, bias and variance of an estimator, periodogram, correlogram. Introduction to adaptive filtering: Wiener-Hopf equation and Wiener filtering; linear prediction.

Prerequisiti
 

Modalità di valutazione

Written exam, consisting in both theoretical questions and exercises.


Bibliografia
Risorsa bibliografica obbligatoriaB. P. Lathi, Signal processing and linear systems, Editore: Berkeley-Cambridge Press, Anno edizione: 1998
Risorsa bibliografica obbligatoria Slides of the course
Risorsa bibliografica facoltativaP. S. R. Diniz, E. A. B. da Silva, S. L. Netto, Digital signal processing, Editore: Cambridge University Press, Anno edizione: 2010

Forme didattiche
Tipo Forma Didattica Ore di attività svolte in aula
(hh:mm)
Ore di studio autonome
(hh:mm)
Lezione
32:30
48:45
Esercitazione
17:30
26:15
Laboratorio Informatico
0:00
0:00
Laboratorio Sperimentale
0:00
0:00
Laboratorio Di Progetto
0:00
0:00
Totale 50:00 75:00

Informazioni in lingua inglese a supporto dell'internazionalizzazione
Insegnamento erogato in lingua Inglese
Disponibilità di materiale didattico/slides in lingua inglese
Disponibilità di libri di testo/bibliografia in lingua inglese
Possibilità di sostenere l'esame in lingua inglese
Disponibilità di supporto didattico in lingua inglese
schedaincarico v. 1.6.1 / 1.6.1
Area Servizi ICT
18/02/2020