littlejohn said:
And if the system is non-linear it will by definition produce an AM component, since it does not reapond linearly.
I'm not out of nits yet(grin)
I don't buy that non-linear systems generate an AM component that wasn't already there.
By definition, in a linear system, the output signal amplitude is always the same multiple of the input signal amplitude.
For example, if the input signal is 1 volt, the multiple (gain) of the system is 2, the output signal is 2 volts.
If the system is linear, if you change the input signal to 5 volts, the output signal remains twice the input -- 10 volts. If you change the input signal to 0.2 volt, the output is still twice the input -- now, 0.4 volt.
By definition, a non-linear system is one in which that relationship doesn't hold. You may get 2 volts out for 1 volt in, but 15 volts out for 5 volts in and 0.3 volt out for 0.2 in. The gain changes depending on the amplitude of the input signal.
At a properly-operating FM station, the input signal amplitude
does not change. ("FM" -- Frequency Modulation -- means the strength of the signal doesn't change but its frequency does.)
The input signal is 1 volt, the output is 2 volts. What happens if the system isn't linear? What happens if, if the input signal was changed to 5 volts, the output went to 15 instead of 10?
It doesn't matter, because the input signal
won't change to 5 volts.
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Of course, the story is very different in an
AM station, where nonlinearity will result in distortion. And if you have two FM signals in the same non-linear system, they will indeed mix to form FM signals on other frequencies.
But they will be
FM signals, with no AM component created.