Solve the following problem:
In on-off keying of a carrier modulated signal, the two possible signals are
where φ is the carrier phase and n(t) is AWGN.
1. Sketch a block diagram of the receiver (demodulator and detector) that employs noncoherent (envelope) detection.
2. Determine the PDFs for the two possible decision variables at the detector corresponding to the two possible received signals.
3. Derive the probability of error for the detector.