The device in that image is a
PLL - Phase Locked Loop. Whole different thing entirely. No mixer.
Quote:
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output from the mixer only have 2 frequency which is f1-f2 and f1+f2. Correct?
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No. 4 outputs:
f1
f2
f1+f2
f1-f2
Superheterodyne Receivers
This is a topic you study in electronic school in your second year, after you have studied basic electronics for a year. It can not be explained in 25 words or less.