Plotting the probability of error for the detector


Solve the following problem:

A communication system employs dual antenna diversity and binary orthogonal FSK modulation. The received signals at the two antennas are

r(t) = α1s(t) + n1(t)

r2(t) = α2s(t) + n2(t)

where α1 and α2 are statistically iid Rayleigh random variables, and n1(t) and n2(t) are statistically independent, zero-mean and white Gaussian random processes with powerspectral density ½N0. The two signals are demodulated, squared, and then combined (summed) prior to detection.

a. Sketch the functional block diagram of the entire receiver, including the demodulator, the combiner, and the detector.

b. Plot the probability of error for the detector and compare the result with the case of no diversity.

 

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