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From: John Woodgate
Subject: Re: fft in hc11 again
Date: Sun, 13 Oct 2002 08:14:29 +0100
Organization: JMWA Electronics Consultancy
Reply-To: John Woodgate
NNTP-Posting-Date: Sun, 13 Oct 2002 09:08:40 +0000 (UTC)
X-Newsreader: Turnpike (32) Version 4.01 <5Z8C9wtxbnpWyFnyfFzqmVF739>
I read in sci.electronics.design that Chuck Simmons
wrote (in <3DA8A583.17B233A3@webaccess.net>)
about 'fft in hc11 again', on Sat, 12 Oct 2002:
>Data interpretation is further complicated by misconceptions. Too many
>engineers think of the DFT and the FFT as giving results that relate to
>the Fourier transform on the real line. Actually, the FFT and the DFT
>give results identical to a truncated Fourier transform on the unit
>circle. I've seen engineers chase wild geese for weeks because they
>didn't understand that fundamental fact.
I'm sure you are right, but that's because the level of math knowledge
required to understand what you wrote there is really quite high. Any
one who understands a bit about integral calculus can understand Fourier
analysis, but to understand, particularly, what you mean by 'Fourier
transform on the unit circle' requires quite a bit of understanding of
calculus on the complex plane, and many electronics engineers don't get
that far in math. To understand the implications of that phrase and the
effects of truncation requires even more depth of knowledge.
Regards, John Woodgate, OOO - Own Opinions Only. http://www.jmwa.demon.co.uk
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