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Re: Convolution, IDL & Numerical Recipes [message #32672 is a reply to message #32671] Thu, 31 October 2002 19:41 Go to previous messageGo to previous message
Kenneth P. Bowman is currently offline  Kenneth P. Bowman
Messages: 585
Registered: May 2000
Senior Member
In article <3DC1D46E.18695AC0@saicmodis.com>,
James Kuyper <kuyper@saicmodis.com> wrote:

As James points out, convolution in the physical domain is equivalent to
multiplication in the spectral domain (and vice versa). Therefore, one
way to convolve (or filter) is to FFT the signal, multiply the spectrum
by the transform of the filter, and inverse FFT. This can be
considerably faster than convolving in the physical domain under some
circumstances.

The trick, of course, is sorting out the wavenumbers and getting the
filter right in the spectral domain. ;-)

Ken Bowman
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