The difference between Fourier Series, Fourier Transform and Laplace Transform

  1. mathman

    mathman 6,465
    Science Advisor
    Gold Member

    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.
     
  2. jcsd
  3. can someone help me to explain the difference between Fourier Series, Fourier Transform and Laplace Transform

    -thanx
     
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