Intégration et Applications

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    In brief

  • Code : N5EN02A

Objectives

To give the mathematical basis essential to any engineer concerning the theory of measurement, integration and the Fourier transform. These basics will be useful in several courses such as signal processing, image processing, telecommunications, data analysis, partial differential equations,...

Description

* Introduction to measure theory
* Construction of the Lebesgue integral
* Main integration theorems (dominated convergende, Fubini,...)
* Fourier transform in L1/L2
* Convolution, filtering
* Distributions, Fourier transform of distributions.

Targeted skills

To know and manipulate the basic mathematical tools used in various other disciplines (PDE, signal and image processing,...

Bibliography

Analyse de Fourier et Applications - Auteusr : C. Gasquet, P. Witomski - Editeur : Masson , 1995

Session 1 ou session unique - Contrôle des connaissances

ModalitéNatureCoefficientRemarques
CC (contrôle continu) Oral/Ecrit100%Examen Intégration et applications

Session 2 - Contrôle des connaissances

ModalitéNatureCoefficientRemarques
CC (contrôle continu) Oral/Ecrit100%Examen Intégration et applications

Contact(s)

GRATTON SERGE

Contact

The National Institute of Electrical engineering, Electronics, Computer science,Fluid mechanics & Telecommunications and Networks

2, rue Charles Camichel - BP 7122
31071 Toulouse Cedex 7, France

+33 (0)5 34 32 20 00

Certifications

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