MA31 - Mathematical tools for Fourier analysis

Institut Universitaire de Technologie
TARBES
MA31 - Mathematical tools for Fourier analysis
Semester : 3
Hours : 30
Objectives :
Understand the duality time frequency.
Expected skills:
Be able to write the mass development of Fourier with any simple periodic signal,
Be able to write, to calculate easily simple functions with the transformations of Fourier and to recognize
the characteristics of these transformations,
Know how to use a frequential representation.
Keywords :
Frequency, sinusoidal, Shannon.
Contents :
Integral of e m x (m complex),
Impulse of Dirac,
Mass development of Fourier of a periodic function (real and harmonic series, complex series, spectre),
Fourier transformations of usual functions (limited support, summative functions)