Maths Fourier Analysis

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    In brief

  • Code : NX011CBA


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.


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

  2. 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

  3. 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


  1. The Fourier Transform and Its Applications, Ronald N. Bracewell, McGraw-Hill, 1978

  2. Schaum’s Outline of Theory and Problems of Advanced Mathematics for Engineers and Scientists, Murray R. Spiegel, McGraw-Hill, 1971

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

  4. Fourier series – Introduction to signal processing,Emmanuelle Peuch (Translated into english by Anne Nicolas), Master Course, INP-ENSEEIHT


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


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