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Politecnico di Torino
Academic Year 2015/16
01MOONZ, 01MOOMQ, 01MOOPC
Signal theory and Signal processing
1st degree and Bachelor-level of the Bologna process in Telecommunications Engineering - Torino
1st degree and Bachelor-level of the Bologna process in Mathematics For Engineering - Torino
1st degree and Bachelor-level of the Bologna process in Cinema And Media Engineering - Torino
Teacher Status SSD Les Ex Lab Tut Years teaching
Mondin Marina ORARIO RICEVIMENTO AC ING-INF/03 100 0 0 0 4
SSD CFU Activities Area context
ING-INF/03 10 B - Caratterizzanti Ingegneria delle telecomunicazioni
Subject fundamentals
Mandatory class, at the I period, III year. The topics are very multidisciplinary, and are used in most of the classes that follow.
The class describes the analysis techniques for continuous time deterministic signals and random processes (first part), and for deterministic discrete signals (second part).
Expected learning outcomes
  • Knowledge of the classification of signals. Knowledge of frequency analysis for continuous-time signals. Knowledge of linear time-invariant (LTI) systems, as well as of their representation in the time and frequency domains. Knowledge of the basic types of filter. Knowledge of random processes and of their spectral representation.
  • Ability to classify signals with respect to their properties. Ability to transform and analyze a signal in the time and frequency domains. Ability to classify and analyze an LTI system in the time and frequency domains.
  • Knowledge of the techniques for passing from a continuous time to discrete time signal, and vice-versa. Knowledge of the techniques for digital processing of a signal in the frequency domain. Knowledge of the techniques for discrete-time processing of digital signals in the frequency domain. Knowledge of the techniques for analysis of LTI systems, and of the Z-transform. Knowledge of digital filters structures (FIR, IIR), and their design techniques.
  • Ability to pass from discrete time to continuous time signals, and vice-versa. Ability to process signals and systems in the time and frequency domain. Ability to analyze and design discrete time LTI systems.

The ability to apply the gained knowledge will be verified through class and lab exercises, as well as during the oral examination. The oral examination will also help students in improving their communication skills.
Prerequisites / Assumed knowledge
Complex analysis of functions in one or two variables. Probability theory. Gaussian random variables. First order linear differential equations. Impulse function. Laplace transform.
Contents
Topics developed in the class.
  • Signal classification; energy and power (4 hours)
  • Fourier series and transform (10 hours)
  • Linear Time Invariant (LTI) systems, impulse response and transfer function (10 hours)
  • Energy spectrum and autocorrelation function. Periodic signals and power spectral density (12 hours)
  • Random processes (14 hours)
  • Evaluation of the error probability in a simple baseband digital transmission system (4 hours)
  • Sampling theorem (6 hours)
  • Discrete time signals: basic operations, energy and power (6 ore)
  • Discrete time Fourier transform, circular convolution, discrete time Fourier transform (10 hours)
  • Discrete time LTI systems: time and frequency analysis, Z transform based analysis (12 hours)
  • Digital filters with finite (FIR) and infinite (IIR) impulse response. Window-based design of FIR filters. Bilinear transformation-based design of IIR filters. (12 hours)
Delivery modes
During the recitations either the instructor solves problems on the topics discussed during the lectures, or the students work independently on the suggested problems with guidance from the instructor. The class also includes 6 (optional) hours of software laboratory on digital filters design.
Texts, readings, handouts and other learning resources
Textbooks:
  1. L. Lo Presti e F. Neri, L'analisi dei segnali, CLUT, 1992.
  2. M. Laddomada e M. Mondin, Elaborazione numerica dei segnali, Pearson, 2007.
  3. L. Lo Presti e F. Neri, Introduzione ai processi casuali, CLUT, 1992.

Further references:
  1. A. Papoulis e S. U. Pillai, Probability, Random Variables and Stochastic Processes, McGraw-Hill, 2002.

The adopted textbooks, selected from the previous list, will be announced in class by the instructor.
Assessment and grading criteria
The final exam is both written and oral. The written part is composed of 2-3 numerical exercises, composed of 4-6 questions and related to the topics of the class. The written part is approximately two hours long. The students with a grade equal or larger than 15/30 are admitted to the oral exam, which is approximately 15 minutes long, and is based on all the topics presented in the class.

Programma definitivo per l'A.A.2015/16
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