|SCIENTIFIC DISCIPLINARY SECTOR||ING-INF/03|
The aim of this class is to provide basic principles of spectral analysis of continuous and discrete signals and of their transformation by linear and nonlinear systems, of the probability theory, random variables, random processes, and of signal transmission techniques through noisy channels.
Such topics are fundamental in relation to methods and applications that make use of signals, both for handling and analysis. Finally, the background knowledge for statistical methods learning and application is given.
Basic principles of signals and linear systems. Spectral analysis of continuous signals; discrete signals; sampling and analogic to digital conversion.
Random phenomena theory: probability, random variables, random processes. PAM, PCM, and analog modulations. Transmission techniques on noisy channels.
In the first semester the course aims to provide students with the theory of processing of continuous signals and corresponding systems with particular reference
to the Fourier transform, to the frequency analysis of periodic signals and Linear Time Invariant systems (LTI).
The sampling is therefore introduced both ideally and in its real versions, along with quantization and the conversion of signals using the PCM technique. The problem of discrete transmission is then dealt with by PAM technique and by multiplexing both in time and in frequency.
The theory of random phenomena is presented in the second semester, which is composed of the three parts of probability, random variables and random processes. The problem of the band-pass transmission on noisy channels is therefore addressed, describing linear modulations, AM, DSB and SSB, and angular modulations, FM and PM.
At the end of the course the student will have to
- learn the theoretical basis of the analysis and processing of continuous signals;
- leran and know how to use the continuous Fourier transform;
- know how to transform the graphic description of periodic signals into an analytical formula both in time and in frequency;
- know under which conditions the ideal and real sampling allows the exact signal reconstruction;
- know how to calculate the parameters that allow the exact reconstruction after sampling carried out through periodic functions;
- learn and be able to use the LTI system description to solve problems both in terms of impulse response and frequency response;
- know and be able to use the theory of random phenomena;
- learn and know how to use the theory of analog band-pass transmissions.
Frontal lessons. Exercises done in preparation for the writings
Signals and systems: LTI systems, the transform and the Fourier series, density spectra
of power and energy, impulse and frequency response of LTI systems, filters.
Sampling and quantization
Representation of the signals
Discrete-time signals and systems
Noise and Modulations
Lecture notes and teacher's notes.
A. Bruce Carlson. Communication systems. McGraw–Hill, New York, 1986
Leon W. Couch. Fondamenti di telecomunicazioni. Apogeo, 2002
Keith Devlin. La lettera di Pascal. Rizzoli, 2008
S. Benedetto E. Biglieri. Teoria dei segnali determinati. Boringhieri, 1977
S. Benedetto E. Biglieri. Teoria delle probabilità e variabili casuali.
Quaderni di Elettronica, Bollati Boringhieri, 1977
A. Papoulis. Signal Analysis. McGraw–Hill, 1977
A. Papoulis. Probability, Random Variables, and Stochastic Processes. McGraw–Hill, 1991
Office hours: On appointment
ALDO GRATTAROLA (President)
CARLO ANDREA BRACCINI
SILVANA DELLEPIANE (President Substitute)
All class schedules are posted on the EasyAcademy portal.
The exam consists of a written test and an oral test.
The written test can also be dealt with by two small parts, relating to the program carried out in the first and second semester.
Written tests consist of solving problems.
The marks of the written and oral tests are considered both for the determination of the final grade, according to a non-mathematical criterion that holds
account of the overall evaluation of the candidate, also in continuity with the previous history of the course.
The written exam will evaluate the ability to solve problems related to the program played. Formal correctness, ability to perform calculations,
ability to apply formulas and concepts explained in class, clarity exhibition, elaborate's tidiness, and calligraphy are evaluated.
The oral exam will evaluate the comprehension of the topics taught in class.
Formal correctness, understanding of concepts, ability of critical reasoning are evaluated along with the quality of exposition, the use of vocabulary
appropriate to the circumstance.