The difference between Fourier Series, Fourier Transform and Laplace Transformby mathman Tags: difference, fourier, laplace, series, transform 

#1
Oct1204, 10:50 AM

Sci Advisor
P: 5,942

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 (c_{n}) are given by integral of f(x)e^{2(pi)inx}, where n ranges over all integers. The series terms are c_{n}e^{2(pi)nx} Real Fourier series use sin and cos instead of exp function. 



#2
Oct1204, 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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