Signal analysis

Three parts in this module

Lectures and tutorials on Fourier analysis

Demonstration lab on the use of signal analysis in everyday objects

Master the basic tools used to characterize signals and systems and implement the basic methods of signal analysis and processing used in the most common 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 standard operator in signal processing: the convolution product.

 - understand and know how to use Parseval's theorem

- move from the analog domain to the discrete domain

Required prerequisites:

 Math level L1

Recommended prerequisites:

Basic math: addition, subtraction, simple integrals, use of a calculator

The first-year module: "Mathematical Tools 3" module

The second-year module: "Mathematical Tools for EEA" module

Continuous assessment with:

1 Written exam during the semester

1 continuous assessment at the end of the semester.

Session 2

Signal classification,

Fourier series,

Fourier transform and its properties,

Parseval's theorem

Convolution Product and Return to the Fourier Transform

Dirac distribution,

Dirac comb and a look back at the Fourier transform

The concept of comb sampling and Shannon's theorem