Register to reply

Fourier Coefficients

by sristi89
Tags: coefficients, fourier
Share this thread:
sristi89
#1
Jun3-08, 08:49 PM
P: 8
Hi,

I was wondering if it is possible to express the norm of a function in terms of fourier coefficient. If so, how do you go through it if given a particular function.

Thanks
Phys.Org News Partner Science news on Phys.org
Scientists develop 'electronic nose' for rapid detection of C. diff infection
Why plants in the office make us more productive
Tesla Motors dealing as states play factory poker
jostpuur
#2
Jun3-08, 09:52 PM
P: 2,066
What norm? The [tex]L^2[/tex]-norm can be expressed, and it is the square root of the sum of the squares of the coefficients.
sristi89
#3
Jun5-08, 09:36 AM
P: 8
Here is a sample question:

What are the fourier coefficients of the function f(x)=ae^(-ix)+b+ce^(ix)? And express the norm in terms of fourier coefficients.

They don't mention if it is the L^2 norm or not.

rbj
#4
Jun6-08, 12:26 AM
P: 2,251
Fourier Coefficients

well, it's only the L2 norm (a measure of energy) in which the L2 norm of the time-domain function (over one period) is equal to the L2 of the frequency-domain data (the Fourier coefficients).

i think the L2 norm of your f(x) is a2 + b2 + c2.


Register to reply

Related Discussions
Partial sum of Fourier Coefficients Calculus & Beyond Homework 8
Fourier coefficients Calculus & Beyond Homework 2
Fourier Coefficients Calculus 1
Calculating Fourier Coefficients Advanced Physics Homework 2
Calculating fourier coefficients Calculus & Beyond Homework 3