1. Based on the maximum-likelihood principle, develop and sketch a phase synchronization procedure for a binary OOK waveform.
2. A given digital communication system has a sync procedure that can track phase noise θ (t) to within an error signal θe(t). Model the error signal as band limited gaussian noise. Explain how, if the phase noise in the received signal is removed by eliminating its cause, the sync procedure can be used to increase the data rate. Does this imply that a waveform of maximum data rate for an additive noise channel cannot be self-synchronized? Repeat the argument for symbol synchronization.