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The difference between Fourier Series, Fourier Transform and Laplace Transform

by mathman
Tags: difference, fourier, laplace, series, transform
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mathman
#1
Oct12-04, 10:50 AM
Sci Advisor
P: 6,109
Mathematically, these are three distinct, although related beasts.
Laplace transform (function f(x) defined from 0 to inf) integral of f(x)e-xt, defined for t>=0.
Fourier transform (function f(x) defined from -inf to inf) integral of f(x)e-itx defined for all real t.
Complex Fourier series (function f(x) defined on finite interval - simplify by making it (0,1)) Coeficients (cn) are given by integral of f(x)e-2(pi)inx, where n ranges over all integers. The series terms are cne2(pi)nx
Real Fourier series use sin and cos instead of exp function.
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spect_key
#2
Oct12-04, 10:50 AM
P: 1
can someone help me to explain the difference between Fourier Series, Fourier Transform and Laplace Transform

-thanx


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