Skip to Main content Skip to Navigation
Reports

Introduction au traitement du signal et à l’analyse fréquentielle par transformées de Fourier

Abstract : The aim of this technical note is to provide practical knowledge on signal processing based on Fourier transforms. Other decomposition bases for signal analysis as well as time-frequency analysis are out of the scope of this note. Theoretical concepts are introduced and illustrated with practical examples that are prefered to an exhaustive mathematical description for the sake of clarity. This way, the required mathematical background to read this techincal note corresponds approximately to the one of a second-year student of an undergraduate science program. First, different types of usual signals are introduced and both time and frequency analyses are presented. Then the continuous signal processing based on the continuous Fourier transform is introduced and generalized to discrete signals with the discrete-time Fourier transform. Afterwards the influence of sampling on the quality of the signal processing is discussed. Finally the digital signal processing is introduced thanks to the the discrete Fourier transform.
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-02193929
Contributor : Solène Kojtych Connect in order to contact the contributor
Submitted on : Wednesday, July 24, 2019 - 11:01:32 PM
Last modification on : Friday, July 26, 2019 - 1:14:02 AM

File

article.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-02193929, version 1

Collections

Citation

Solène Kojtych. Introduction au traitement du signal et à l’analyse fréquentielle par transformées de Fourier. [Rapport Technique] École polytechnique de Montréal. 2019. ⟨hal-02193929⟩

Share

Metrics

Record views

496

Files downloads

21654