From: Chuck Simmons
Organization: You jest.
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Subject: Re: How does a mixer work?
References: <3DB41488.email@example.com> <3DB43497.A32B8380@webaccess.net> <3DB45343.E61C1CCB@webaccess.net> <3DB466BC.593D4D35@webaccess.net>
Date: Thu, 24 Oct 2002 00:21:05 GMT
NNTP-Posting-Date: Wed, 23 Oct 2002 17:21:05 PDT
Kevin Aylward wrote:
> "John Woodgate" wrote in message
> > I read in sci.electronics.design that James Meyer
> > wrote (in
> > firstname.lastname@example.org>) about 'How does a mixer work?', on Wed, 23 Oct 2002:
> > > Correct! Since a Dirac pulse contains all the information
> known, or
> > >which will be known; all the transmissions that have ever been
> produced, or will
> > >be produced, are redundant.
> > Well, not quite correct, because no-one has ever produced a Dirac
> > We are waiting for some transistors with infinite Vcbo. (;-)
> Well, not even that. A dirac pulse contains no useful information. Its
> certainly true that for a signal to have information content it must
> have some randomness associated with it, i.e. log2(/pi), and that as a
> consequence, a random signal has a frequency spectrum. It does not
> necessarily follow that anything with a complete spectrum contains
> useful information. White noise, is just that, white noise.
It's worse. It is trivial to prove that there does not exist a Lebesque
integrable function having the properties of the "Dirac delta." The so
called approximating sequences are all divergent and therefore do not
converge to any function. In short, there does not exist a function
which is an identity for convolution.
... The times have been,
That, when the brains were out,
the man would die. ... Macbeth
Chuck Simmons email@example.com