Question

digital communication

Given a 2-bit data transmitter which has the block diagram shown in the figure:

a) Write down the equations for the possible output signals then sketch the signal space

b) Calculate the minimum average probability of error for these signals. (The noise is AWGN with zero mean and two-sided PSD No/2 = 4 W/Hz).

c) Find the average energy for this constellation.

d) Suggest a coherent receiver for this system

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