


Politecnico di Torino  
Academic Year 2017/18  
04EQAMA Signal analysis 

1st degree and Bachelorlevel of the Bologna process in Biomedical Engineering  Torino 





Subject fundamentals
The course aims to present the basic knowledge of signal theory and analysis. It provides the fundamental methodological tools for the description and analysis of continuoustime and discretetime, both deterministic and random signals.

Expected learning outcomes
Deterministic, continuoustime signals and systems and their analysis in the frequency domain.
Deterministic, discretetime signals and systems. Basic concepts of probability theory. Continuous and discretetime random signals. Selection and application of appropriate methods for signal analysis. 
Prerequisites / Assumed knowledge
Basic mathematical analysis (integrals, derivatives), linear algebra (vectors, matrices, scalar product, norm).
Indepth knowledge of complex numbers and trigonometry. 
Contents
Definition and classification of signals: continuous / discrete time, deterministic / random
Energy and mean power Fourier Series and Transform LTI systems, impulse response and transfer function Energy spectral density and autocorrelation function Periodic signals and related power spectral density Power spectral density of nonperiodic signals Sampling Theorem Discretetime signals; ztransform, discrete time Fourier transform (DTFT) LTI discretetime systems FIR and IIR filters Introduction to random variables Random processes: definitions Stationary processes: autocorrelation and power spectral density Ergodic processes 
Delivery modes
The course consists of lectures and exercises. The classroom exercises consist in the solution of exercises related to the program carried out in class.

Texts, readings, handouts and other learning resources
 B. P. Lahti, R. A. Green, Essentials of Digital Signal Processing, Cambridge University Press, 2014
 (alternatively) Lo Presti and F. Neri, The analysis of the signals, CLUT, 1992. In addition, teachers will provide handouts and exercises. 
Assessment and grading criteria
Written exam: two exercises, each one encompassing a number of questions, to be carried out in extended form. The exercises will be related to any part of the program, and may also include theoretical questions.

