Reply-To: "Kevin Aylward"
From: "Kevin Aylward"
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Subject: Re: How does a mixer work?
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Date: Wed, 23 Oct 2002 07:57:50 +0100
NNTP-Posting-Date: Wed, 23 Oct 2002 07:57:57 BST
"John Woodgate" wrote in message
> I read in sci.electronics.design that Kevin Aylward
> wrote (in
r.ntli.net>) about 'How does a mixer work?', on Tue, 22 Oct 2002:
> >Therefore, it cannot be claimed that no frequency modulation occurs.
> >cannot claim something that in *principle* cannot be measured.
> Show me the FM term **in the mathematics**.
Qualitatively its easy to see. Since the signal has not been on since
the dawn of time the signal has been switched on, and therefore it is
not repetitive. Since it is not repetitive, it must be expressed by a
Fourier integral, not a Fourier series. A Fourier integral of a
non-repetitive signal will have a *continuous* frequency spectrum,
therefore its "frequency" is not definable other then by statistical
properties, such as the standard deviation of its frequency spread. It
simple doesn't have a frequency. It has all frequencies.
SuperSpice, a very affordable Mixed-Mode
Windows Simulator with Schematic Capture,
Waveform Display, FFT's and Filter Design.