POV-Ray : Newsgroups : povray.off-topic : Filtering - don't bank on it... : Re: Filtering - don't bank on it... Server Time
10 Oct 2024 01:29:32 EDT (-0400)
  Re: Filtering - don't bank on it...  
From: scott
Date: 6 Nov 2008 09:19:02
Message: <4912fcd6$1@news.povray.org>
>> Of course there is, try it.  If you create a frequency that is half-way
>> between two frequencies in the DFT, your DFT histogram will still look 
>> the
>> same shape, the peak will just be shared between the two frequencies.
>
>  The same shape as what?

As a frequency that is exactly lined up with one of the bands of the DFT.

>  Basically you are saying that you can recreate a sine wave (which is one
> single frequency) with the sum of two sine waves (the two frequencies in
> the discrete frequency spectrum)?

No, I am saying that given a finite DFT transform result with more than one 
non-zero entry, if you perform the inverse DFT you will recreate a single 
frequency sine wave.


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