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Can you tell me why the carrier frequency shifts according to audio signal variations, instead of the audio shifting according to the carrier frequency?
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Are you trying to overload this old man's brain? The answer is right there. Without going into the mechanics, the carrier is a constant and it is modulated by the audio signal. The detector in the FM receiver converts variations in frequency to audio signals. Since noise (interference) rides on the peaks of the carrier wave, it is simpler to eliminate since you only need to shave off the peaks. In AM signals this "limiting" would result in the loss of intelligence.
Obviously somewhere along the line someone has limited my AM brain waves.