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From: Paul Nicholson <vlf0403@abelian.org>
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Date: Fri, 4 Nov 2016 06:26:45 +0000
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Andy wrote:

 > But surely, when narrowband filtering is in place - as any
 > narrow band mode will of necessity be doing internally - any
 > wideband non Gaussian or bursty noise when applied to this
 > narrow filter will eventually become Gaussian IN THAT BANDWIDTH

Was about to chip in with the same point but you beat me.

 > A mathematician could probably prove that any random non Gaussian
 > signal if filtered sufficiently narrow in comparison to itsnature,
 > would end up Gaussian in the filtered bandwidth.

I guess, a consequence of the central limit theorem. After all, the
FFT is just a sum of lots of time domain samples.

--
Paul Nicholson
--