Signal processing

A.Y. 2019/2020
Lesson for
Overall hours
Learning objectives
The course has the goal of providing the basic theoretical knowledge of (i) the theory of continuous-time signals and (ii) of discrete-time digital signal processing by means of linear time-invariant systems.
The student will acquire the theoretical skills necessary to sample a continuous-time signal; also she/he will be able to represent a discrete-time signal in the frequency domain; finally, the student will be able to analyze and design a linear time-invariant filter to process discrete-time signals.

Course structure and Syllabus

Active edition
INF/01 - INFORMATICS - University credits: 6
Lessons: 48 hours
Professor: Sassi Roberto
· Introduction. Continuous-time and discrete-time signals. Systems. Review of complex numbers. Phasors.
· Time-continuous sinusoidal signals. Frequency. Harmonic frequencies and periodical signals.
· Digital signals: sampling and quantization. Sampling of continuous-time signals and the sampling theorem. Aliasing. Reconstruction of continuous-time signals from samples and interpolation.
· Analysis of discrete-time signals in the frequency domain. Discrete-time Fourier Transform (DTFT), Discrete Fourier Transform (DFT) and FFT algorithm. Spectral characterization of sampled signals.
· Linear time-invariant systems (LTI). Impulse response. Stability and causality. Systems interconnection (series, parallel, feedback). Finite-difference equations as representation of LTI systems.
· Zeta transform. Definition and principal properties. Region of convergence. Analysis of LTI systems via Zeta transform. Transfer functions, poles and zeros. Frequency response. Stability condition in the Zeta domain
· FIR filters. Linear phase and LTI filter with symmetrical impulse response. FIR filters design with the window method.
· IIR filters. Design by poles and zeros placement. Design of digital IIR filters starting from their analog counterparts.

Warning: the class is taught in Italian. The course program is provided for reference only.
Lesson period
Second semester
Lesson period
Second semester
Assessment methods
Assessment result
voto verbalizzato in trentesimi
Educational website(s)
By appointment (email or phone)
Dipartimento di Informatica, via Celoria 18, stanza 6004 (6 piano, ala Ovest), Milano or Polo didattico di Crema (CR)