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Subject: Re: FW: [motm] My failed experiment

From: jhaible@...
Date: 2001-12-06

Tkacs, Ken schrieb:
>
> If you feed a sine into both inputs of a ring modulator,
> you get a sine an
> octave higher, not a rectified sine. It outputs the sum
> and difference
> signals, so the sum of "1" and "1" is "2 (doubled
> frequency)," and the
> difference is zero.

> I'm not sure where you're getting the rectification from.

Very true. However, "zero" means "zero Hz" (and not "zero voltage").
That is, the difference frequency becomes a DC voltage!
(DC = "AC @ 0Hz" with amplitude = DC voltage). This
adds to the double frequency sine wave, so you get a sine
of 2f that is ∗raised∗ above 0V - and here's where the similarity
to "rectification" comes in.

With the old formula (from memory - I hope it's right, and it's
easier with cosinus to write down):

cos(x) ∗ cos(x) = 1/2 + 1/2 ∗ cos(2x) >= 0.

JH.