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From: Chuck Simmons
Organization: You jest.
X-Mailer: Mozilla 4.61 [en] (X11; U; Linux 2.0.33 i586)
Subject: Re: How does a mixer work?
References: <email@example.com> <firstname.lastname@example.org>
Date: Fri, 25 Oct 2002 00:17:34 GMT
NNTP-Posting-Date: Thu, 24 Oct 2002 17:17:34 PDT
Kevin Aylward wrote:
> "john jardine" wrote in message
> > "Kevin Aylward" wrote in message
> > > "Kevin Aylward" wrote in message
> > > news:o%Mt9.435$Zk2.email@example.com...
> > > > Well, I did explain that the frequency and time domain are
> > > fundamentally
> > > > incompatible by its uncertainty relation Sigma.Sigma >=1/2. And in
> > > view
> > >
> > > Sigma_F.Sigma_T>=1/2
> > That equation looks a bit portentious to me.
> That's only became you are not familiar with what is quite a basic
> result. Its pretty fundamental really.
> >Where did it come from?.
> A book. Any math text on fourier transforms for example.
> > Why the ">"?. Who figured it out?.
> Apparently Gabor.
> >Any references on the web?
> search on the combined "words time frequency uncertainty relation"
Math text books on Fourier transforms, harmonic analysis, analysis,
functional analysis, differential equations (ordinary and partial),
integral equations and related areas are very unlikely to have the
relationship above because noise does not exist in these areas. Your
first reference was to sampling which is irrelevant to harmonic analysis
and both mentioned noise also completely irrelevant to harmonic analysis
and related mathematical subjects where the Fourier transform is
mentioned. The proper realm for noise is in statistics which is a
subject optional for math graduate students (I read probability
instead). No wonder I never saw it.
Is the Gabor you mention the Gabor who invented the hologram in
something like 1955. Wasn't he a physicist?
... The times have been,
That, when the brains were out,
the man would die. ... Macbeth
Chuck Simmons firstname.lastname@example.org
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