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: 5,942
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 (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
A 'quantum leap' in encryption technology
Using antineutrinos to monitor nuclear reactors
Bake your own droplet lens
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