• Study level

    BAC +2

  • ECTS

    4 credits

  • Component

    Faculty of Science

  • Hourly volume

    33h

  • Time of year

    Spring

Description

Three parts in this module

Courses and tutorials on Fourier analysis

Practical demonstration of the use of signal analysis in everyday objects

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Objectives

Master the basic tools needed to characterize signals and systems, and implement basic signal analysis and processing methods used in the most widespread applications (communications, audio and video electronics, automotive, geophysics, acoustics, medical, etc.).

Skills

- describe, represent and analyze continuous and discrete deterministic signals

- know and use Fourier series and Fourier transforms

- know and use the usual operator in signal processing: the convolution product,

 - understand and use Parseval's theorem

- from the analog to the discrete domain

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Necessary prerequisites

Prerequisites :

 Mathematics level L1

Recommended prerequisites :

Basic mathematics: addition, subtraction, simple integral, use of calculator

Licence 1 module: "Outils Mathématiques 3" module

Licence 2 module: "Mathematical tools for EEA" module

 

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Knowledge control

Continuous assessment with :

1 Written exam during the semester

1 final continuous assessment at the end of the semester.

Session 2

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Syllabus

Signal classification,

Fourier series,

Fourier transform and its properties,

Parseval's theorem

Product of Convolution and return to the Fourier Transform

Dirac distribution,

Dirac comb and back to the Fourier Transform

Notion of comb sampling, and Shannon's theorem

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