Signal analysis

Three parts in this module

Courses and tutorials on the topic of Fourier analysis

Demonstration of the use of signal analysis in current objects

Master the basic tools for characterizing signals and systems and implement the basic methods of signal analysis and processing 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 the Fourier series and the Fourier transform

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

 - understand and know how to use Parseval's theorem

- move from the analog to the discrete domain

Required Prerequisites:

 Mathematics level L1

Recommended prerequisites:

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

The Licence 1 module: "Mathematical tools 3" module

The Licence 2 module: "Mathematical tools for EEA" module

Continuous monitoring with:

1 written test during the semester

1 continuous final test at the end of the semester.

Session 2

Classification of signals,

Fourier series,

Fourier transform and its properties,

Parseval's theorem

Product of Convolution and return on the Fourier Transform

Dirac distribution,

Dirac comb and return on the Fourier Transform

Notion of comb sampling, and Shannon's theorem