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 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 B. P. Lathi, Signal processing and linear systems, Editore: Berkeley-Cambridge Press, Anno edizione: 1998 Slides of the course P. 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