Ing Ind - Inf (Mag.)(ord. 270) - CR (263) MUSIC AND ACOUSTIC ENGINEERING
052845 - SIGNALS AND SYSTEMS
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 first module of the course is dedicated to continuous-time signals and systems.
Risultati di apprendimento attesi
Lectures and excercise sessions will allow students to:
- understand the fundamental mathematical tools for the representation and decomposition of continuous-time signals
- understand how continuous-time systems generate analog signals and/or interact with them
- derive suitable models of linear-time invariant continuous-time systems, and appropriate representations of the related signals in time- and frequency-domain
- analyze and design continuous-time filters
Overview of Signals and Systems – Signals: size and classification of signals, operations on signals, examples of signal models, symmetries. Systems: classification of systems, system models: Input-Output description.
Time-Domain Analysis of Continuous-Time Systems – System response to internal conditions: Zero-Input Response, the Unit Impulse Response; system response to external input: Zero-State Response. Classical solution of differential equations, system stability, intuitive insights into system behavior, determining the impulse response.
Signal Representation by Fourier Series – Signals and vectors; signal comparison: correlation; signal representation by orthogonal signal set; trigonometric Fourier series; exponential Fourier series; numerical computation of the coefficients; LTIC system response to periodic inputs.
Continuous-Time Signal Analysis: The Fourier Transform – Aperiodic signal representation by Fourier integral; transform of some useful functions; some properties of the Fourier transform; signal transmission through LTIC systems; ideal and practical systems; signal energy; application to communications: amplitude modulation; angle modulation; windowing.
Continuous-Time System Analysis Using the Laplace Transform – The Laplace transform; some properties of the Laplace transform; solution of differential and integro-differential equations; block diagrams; system realization; application to feedback and controls; the bilateral Laplace transform.
Frequency Response and Analog Filters – Frequency response of an LTIC system; filter design by placement of poles and zeros of h(s); Butterworth filters; Chebyshev filters; frequency transformations; filters that satisfy distortionless transmission conditions.
Sampling of continuous-time signals - Sampling period and sampling frequency; the sampling theorem; anti-aliasing low-pass filter; perfect signal reconstruction via sinc interpolation.
A certain familiarity with fundamentals of calculus is recommended, particularly on: derivatives, integrals, and integro-differential equations, series, linear algebra.
Modalità di valutazione
The exam consists of a written test based on the topics taught in the course, including a mixture of theoretical questions (~55%) and exercises (~45%).
B. P. Lathi, Signal processing and linear systems, Editore: Berkeley-Cambridge Press, Anno edizione: 1998
Slides of the courseP. S. R. Diniz, E. A. B. da Silva, S. L. Netto, Digital signal processing, Editore: Cambridge University Press, Anno edizione: 2010
Nessun software richiesto
Tipo Forma Didattica
Ore di attività svolte in aula
Ore di studio autonome
Laboratorio Di Progetto
Informazioni in lingua inglese a supporto dell'internazionalizzazione
Insegnamento erogato in lingua
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