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June 19th, 2010, 02:03 AM  #1 
Newbie Joined: Jun 2010 Posts: 2 Thanks: 0  Discrete fourier vs fourier transform
Hi, I have some questions regarding basic understanding of Fourier transformation 1)Using discrete fourier transform, you only analyse for some frequencies. Do you analyse for a range of frequencies, frequencies with a given interval or only specific frequencies? 2) What are the advatages of discrete fourier compared with "normal" fourier? 3) What is windowed fourier? and when is that used? 4) What are the advantages of Fourier and wavelet respectively? It would help a lot, if anyone could answer these questions, without too much math Thanks, Beckie 
June 19th, 2010, 01:04 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,527 Thanks: 588  Re: Discrete fourier vs fourier transform
Fourier analysis is divided into two broad categories. Fourier series, where the function is defined over a finite interval, and is implicitly (or explicitly) periodic outside the interval. Fourier transforms are defined for functions defined over an infinite interval and belong to to some Lp class for p ? 1.

June 20th, 2010, 12:16 AM  #3 
Newbie Joined: Jun 2010 Posts: 2 Thanks: 0  Re: Discrete fourier vs fourier transform
When you say a finit interval, do you mean time interval or frequency interval? what does Lp class mean?!? Do you know any answers to my specific questions? Cause I really need to know it by monday 
June 20th, 2010, 12:58 PM  #4  
Global Moderator Joined: May 2007 Posts: 6,527 Thanks: 588  Re: Discrete fourier vs fourier transform Quote:
When I said finite interval, I meant that the function f(x) is defined over a finite interval and can be represented by a Fourier series consisting of a constant plus cosines and sines of qnx, where q is a constant determined by the interval while n ranges over all positive integers. For example if the interval is of length 1, q=2?. A function f(x) belongs to an Lp class if the integral over the real line of f(x)^p exists. Most Fourier analysis studies are concerned with p = 1 or 2.  

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