Register to reply

The difference between Fourier Series, Fourier Transform and Laplace Transform

by mathman
Tags: difference, fourier, laplace, series, transform
Share this thread:
mathman
#1
Oct12-04, 10:50 AM
Sci Advisor
P: 6,040
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
Refocusing research into high-temperature superconductors
Neutron tomography technique reveals phase fractions of crystalline materials in 3-dimensions
Tiny magnets, huge fields: Nanoscale ferromagnetic electrodes create chemical equivalent of solid-state spin valve
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


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