The difference between Fourier Series, Fourier Transform and Laplace Transform


by mathman
Tags: difference, fourier, laplace, series, transform
mathman
mathman is offline
#1
Oct12-04, 10:50 AM
Sci Advisor
P: 5,939
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.
Phys.Org News Partner Physics news on Phys.org
Physicists design quantum switches which can be activated by single photons
'Dressed' laser aimed at clouds may be key to inducing rain, lightning
Higher-order nonlinear optical processes observed using the SACLA X-ray free-electron laser
spect_key
spect_key is offline
#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


Register to reply

Related Discussions
Laplace and Fourier Transform of a PDE Calculus & Beyond Homework 1
Using fourier and laplace transform to solve PDE Differential Equations 3
Fourier/Laplace transform for PDE Differential Equations 1
What are the differences between laplace & fourier transform Differential Equations 1
Fourier Series / Fourier Transform Question Electrical Engineering 6