Signal Analysis

This module consists of three parts

Lectures and tutorials on Fourier analysis

Practical Exercise Demonstrating the Use of Signal Analysis in Everyday Objects

Master the basic tools for characterizing signals and systems and apply the fundamental 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

- Understand and use the Fourier series and the Fourier transform

- understand and use the standard operator in signal processing: the convolution product,

 - understand and know how to apply Parseval's theorem

- transition from the analog domain to the discrete domain

Required prerequisites:

 Math Level L1

Recommended prerequisites:

Basic mathematics: addition, subtraction, simple integrals, using a calculator

First-Year Bachelor's Degree Module: "Mathematical Tools 3" Module

Second-Year Bachelor's Degree Module: "Mathematical Tools for EEA" Module

Ongoing assessment through:

1 Midterm Written Exam

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 a Look Back at the Fourier Transform

Dirac distribution,

Dirac Comb and a Look Back at the Fourier Transform

The Concept of Comb Sampling and Shannon's Theorem