Assignment:
A system makes use of branch diversity in order to improve the receiver SNR. It is assumed that each branch receives an independently Rayleigh-faded signal. The receiver must meet a requirement that the probability of all branches being received with an SNR less than some threshold is equal to 10-4, where the threshold is chosen to be 5 dB, and the average SNR is equal to 15 dB.
(a) Calculate the number of diversity branches M required in the receiver to meet this requirement?
(b) Based on the result from part a), calculate the probability that any single branch achieves an SNR > 5 dB?
Provide complete and step by step solution for the question and show calculations and use formulas.