Riddle: what is this waveform, and what does it *sound* like? I knew what the answer was going to be, but it surprised me anyway.pic.twitter.com/024W9LWsqh
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Now I riddle this to you: Assume that you have a detector that can only detect |𝓕(y(t))|, i.e. only the power spectrum with the phase lost: What can you do to the signal before it hits the detector to recover the phase? You may also use multiple detectors.
You need to encode phase into something else, which means you need a phase reference to relate all the phases to... I'm thinking modulate with a quadrature carrier pair is going to be part of this?
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Indeed, local oscillators do the trick. However, there is a way, how you can do it with only one LO (i.e. not a I/Q pair with 90° phase shift). Hint: Have a look at how optical coherent receivers do work.
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