• #### Number of hours

• Lectures 18.0
• Projects -
• Tutorials 16.5
• Internship -
• Laboratory works 18.0
• Written tests -

ECTS 4.0

## Goal(s)

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.

Responsible(s)

Romain SIRAGUSA

## Content(s)

Chapters
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)

Laboratory
Session 2: Spectrum observation
Session 3: Introduction to digital filters

Prerequisites

analog and numerical electronics basics
Mathematics : complex, integration/derivation, matrix calculus, vectorial space suites.

Test

cours : examen surprise de cours
Exam : examen de fin de session
TP : travaux pratiques

Calendar

The course exists in the following branches:

see the course schedule for 2022-2023

Course ID : 3AMAC367
Course language(s): The course is attached to the following structures:

You can find this course among all other courses.

Bibliography

 Delmas, "Eléments de théorie du signal : les signaux déterministes", Ellipses
 Max, "Méthodes et techniques de traitement du signal", Masson.
 Bellanger, "Traitement numérique du signal", Masson.
 De Coulon, "Théorie et traitement des signaux", Dunod.
 Kunt, "Traitement numérique des signaux", Dunod.
 Mannevielle-Esqieu, "Théorie du signal et composants", Dunod.
 Duroc, "L'essentiel en théorie de traitement du signal, Ellipse.