Maths Fourier Analysis
Objectives
Become familiar with the basic notion of signals, Fourier series and Fourier Transform. Master the skills to do Fourier analysis of periodic and aperiodic signals in most electronic applications.
To have basic ideas of vector analysis and orthogonal coordinates systems.
Description

Fourier Series:Introduction to signal  Sinewave  Fourier series  Fourier series for conventional signal  Complex form of Fourier series  Electrical signal applications

Fourier Transform: From periodic to aperiodic signal: Fourier Transform  Fourier transform of some conventional signals  Basic theorems of Fourier transform  Electrical waveforms and spectra  Applications in electronics  Discrete Fourier Transform

Vector Analysis: Introduction  Vector Algebra  Theorem of Vector Algebra  Cartesian coordinates system  Orthogonal coordinate systems  Differential operator on vector field  Useful theorems on vector analysis
Bibliography

The Fourier Transform and Its Applications, Ronald N. Bracewell, McGrawHill, 1978

Schaum’s Outline of Theory and Problems of Advanced Mathematics for Engineers and Scientists, Murray R. Spiegel, McGrawHill, 1971

Signals and Systems, Richard Baraniuk, Rice University, Houston TX

Fourier series – Introduction to signal processing,Emmanuelle Peuch (Translated into english by Anne Nicolas), Master Course, INPENSEEIHT