Esisar rubrique Formation 2022

Signal processing and probability - 3AMMA361

  • Number of hours

    • Lectures 27.0
    • Tutorials 18.0
    • Laboratory works 9.0


    ECTS 5.0


Skills to know at the end of the class:

  • Basic understanding of signal theory and signal processing
  • Ability to design and to characterize linear time invariant systems and continuous and discreet signals
  • Ability to implement basic methods of processing like spectral analysis, sampling, filtering, correlation.
Contact Romain SIRAGUSA


1. Introduction to signal processing

  • Issues, signals classification, practical examples of signal processing

2. Continuous deterministic signals

  • Time representation and frequency representation
  • Fourier transform and Fourier series

3. Filtering and spectrum analysis

  • Convolution and correlation operators
  • Energy aspects and Parseval theorem
  • Frequency filters and apodization

4. Sampling

  • Shannon theorem
  • Limits in practice and anti-aliasing filter

5. Discrete deterministic signals

  • Basic transforms: Tz, dFT, DFT, FFT
  • Convolution and correlation in discrete time

6. Introduction to digital filtering

  • Finite impulse filters (FIR)
  • Infinite impulse filters (IIR)

Session 1: Introduction to Matlab/Simulink
Session 2: Spectrum observation
Session 3: Introduction to digital filters


Mathematics and probability (degree level)


Exam procedures : calculators "type collège" allowed only, no documents

CC : mark or mean of the written test(s) 1h45
TP : practical work exam
E1 : final exam session 1, written work

E2 : exam session 2, 1 written work or half an hour oral exam

Additional Information

Curriculum->Network and computer science->Semester 1
Curriculum->EIS ->Semester 1


Bellanger - Traitement numérique du signal - Dunod
Charbit - Eléments de théorie du signal : les signaux aléatoires - Ellipses
De Coulon - Traitement et théorie des signaux - Presses polytechniques romandes
Delmas - Eléments de théorie du signal : les signaux déterministes - Ellipses
Duroc - L'essentiel en théorie et traitement du signal - Ellipses
Max & Lacoume - Méthodes et techniques de traitement du signal - Dunod
Olivier Rioul - Théorie des probabilités - Hermés