Re: cross correlation and FFT problem



Is there any good examples (like commercial products or standards)
using the frequency domain for efficient convolution/filtering?

I guess that's what Bob's comment is about!?

Jens

I tend to agree with Bob's comment about doing convolution in the
frequency domain. Even though it's theoretically more efficient than
the time domain operation in certain cases I'm not familiar with any
practical implementations

On Wed, 28 Sep 2005 21:59:13 -0700, Bob Cain
<arcane@xxxxxxxxxxxxxxxxx> wrote:

>
>
>Jens Jørgen Nielsen wrote:
>> Hi,
>>
>> Be careful about the length of the FFT; you need a length at least the
>> sum of the lenghts of the two sequences minus one. The reason is that
>> the frequency domain operation is really a circular convolution.
>
>A rather useless operation IMHO. :-)
>
>
>Bob

.



Relevant Pages

  • Re: why we want to do folding while performing convolution
    ... Convolving two signals is represented in the frequency domain by ... Both convolution and correlation (which can be viewed as ... convolution with the time-reversed kernel) have a simple interpretation ... that is anti-symmetric (symmetry about the mid-point). ...
    (comp.dsp)
  • Re: why we want to do folding while performing convolution
    ... Convolving two signals is represented in the frequency domain by ... Both convolution and correlation (which can be viewed as ... convolution with the time-reversed kernel) have a simple interpretation ... that is anti-symmetric (symmetry about the mid-point). ...
    (comp.dsp)
  • Re: spatial and frequency domain
    ... You don't do convolution in the frequency domain. ... the frequency domain (multiplying the ft of the convolution kernel by ... I have designed a 1D FIR filter, ...
    (sci.image.processing)
  • Re: Convolution in frequency (Fourier) space
    ... If the transformation from spatial to frequency back to spatial domain ... doing a tranform to frequency domain, ... convolve each of the resulting matrices with a given kernel (in ... Convolution in the spatial domain is equivalent to multiplication in the frequency ...
    (sci.image.processing)
  • Re: spatial and frequency domain
    ... You don't do convolution in the frequency domain. ... of the convolution kernel refer to the FIR filter? ... Take the Fourier Transform of the image. ...
    (sci.image.processing)