Hi Bryon,
You're not there yet, but it is by no means hopeless :-)
My statement that:
As long as they are reasonably small, fluctuations in the DC voltages will IN THEMSELVES have no effect on anything. It is only when the frequency components corresponding to those fluctuations combine with the signal that a problem arises. The DC will not combine with the signal (in a properly functioning circuit). But the noise frequencies might, because they can couple from one circuit point to another via the various means I described.
Envision a musical note consisting of a 1 kHz fundamental frequency, and a harmonic of lesser amplitude at 9 kHz. (A real musical note would contain many other harmonics as well, such as 2 kHz, 3 kHz, etc. but I'm simplifying). And imagine that a noise frequency of 11 kHz, having some small but significant amplitude, couples onto that signal.
So far all that has happened is that a small 11 kHz signal has been added on to the signal having 1 and 9 kHz frequency components. That is probably not a major issue, assuming that the amplitude of the 11 kHz is not too great.
Now envision that the signal containing those three frequency components is passed through an amplification stage that has some degree of non-linearity, meaning that its output is not perfectly proportional to its input. Intermodulation caused by that non-linearity will result in many new frequencies, corresponding to the sums and differences between those three frequencies, and various other multiples of them. Perhaps most significantly, a 2 kHz frequency will be created as a result of intermodulation of the 9 and 11 kHz components. (20 kHz will also be created, among other new high frequencies, but that is obviously less significant). To the extent that the amplitude of that 2 kHz frequency is significant, it will alter the perceived timbre.
Now envision that a real-world musical note is present, consisting of a great many frequency components, and that noise also present, consisting of vastly more frequency components. Put all of that through a significant non-linearity and what you have is an unpredictable mess, having sonic attributes that can probably differ from those of the original signal in just about any way that is imaginable, including resolution, timbre, and imaging.
Best,
-- Al
You're not there yet, but it is by no means hopeless :-)
My statement that:
The net voltage at any instant of time will be the NUMERICAL SUM of the individual amplitudes (voltages) of each frequency component at that instant of timehad nothing to do with intermodulation distortion, or with the sum and difference frequencies that intermodulation distortion results in. It was simply a description of the voltage at any instant of time of DC that is noisy.
As long as they are reasonably small, fluctuations in the DC voltages will IN THEMSELVES have no effect on anything. It is only when the frequency components corresponding to those fluctuations combine with the signal that a problem arises. The DC will not combine with the signal (in a properly functioning circuit). But the noise frequencies might, because they can couple from one circuit point to another via the various means I described.
Envision a musical note consisting of a 1 kHz fundamental frequency, and a harmonic of lesser amplitude at 9 kHz. (A real musical note would contain many other harmonics as well, such as 2 kHz, 3 kHz, etc. but I'm simplifying). And imagine that a noise frequency of 11 kHz, having some small but significant amplitude, couples onto that signal.
So far all that has happened is that a small 11 kHz signal has been added on to the signal having 1 and 9 kHz frequency components. That is probably not a major issue, assuming that the amplitude of the 11 kHz is not too great.
Now envision that the signal containing those three frequency components is passed through an amplification stage that has some degree of non-linearity, meaning that its output is not perfectly proportional to its input. Intermodulation caused by that non-linearity will result in many new frequencies, corresponding to the sums and differences between those three frequencies, and various other multiples of them. Perhaps most significantly, a 2 kHz frequency will be created as a result of intermodulation of the 9 and 11 kHz components. (20 kHz will also be created, among other new high frequencies, but that is obviously less significant). To the extent that the amplitude of that 2 kHz frequency is significant, it will alter the perceived timbre.
Now envision that a real-world musical note is present, consisting of a great many frequency components, and that noise also present, consisting of vastly more frequency components. Put all of that through a significant non-linearity and what you have is an unpredictable mess, having sonic attributes that can probably differ from those of the original signal in just about any way that is imaginable, including resolution, timbre, and imaging.
Best,
-- Al