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
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
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
Knowledge control
Continuous assessment with :
1 Written exam during the semester
1 final continuous assessment at the end of the semester.
Session 2
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