With frequency mixers in radios they multiply frequencies to create an intermediate frequency, but where in the wave are those? Every picture I’ve seen makes the two original signals look pretty obvious, but I don’t get where the sum and the difference are.
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The result of multiplication is the sum of 2 sinusoidal waves with equal amplitude, one with sum frequency and one with difference frequency, so it’s not easy to see the frequency from the waves. But you can definitely see them if you look carefully. If the lower frequency is much lower than the higher frequency, then the signal will have much longer wave length, so the overall shape will look like something with an overall sinusoidal wave trend with a lot of rapid oscillation. But if the 2 frequencies are too similar, you end up with a “beat” which has very misleading frequency and it’s really hard to tell what are the component frequencies.
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