Consider a communication receiver for BPSK signals on a Rayleigh fading channel that employs 2-branch selection...

 

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Consider a communication receiver for BPSK signals on a Rayleigh fading channel that employs 2-branch selection diversity, where each selection diversity branch consists of L antennas with maximal ratio combining as shown below. Assume balanced diversity branches at the input to the MRC diversity combiners, i.e., ij = c, i = 1,2, j=1,..., L, where Tij E[a]Eb No = 1 1 MRC MRC Choose Largest =max(} a) Derive an expression for the cumulative distribution function of the symbol energy-to-noise ratio, A, at the output of the selective combiner. b) Derive an expression for the probability density function of the symbol energy-to-noise ratio, A, at the output of the selective combiner. Consider a communication receiver for BPSK signals on a Rayleigh fading channel that employs 2-branch selection diversity, where each selection diversity branch consists of L antennas with maximal ratio combining as shown below. Assume balanced diversity branches at the input to the MRC diversity combiners, i.e., ij = c, i = 1,2, j=1,..., L, where Tij E[a]Eb No = 1 1 MRC MRC Choose Largest =max(} a) Derive an expression for the cumulative distribution function of the symbol energy-to-noise ratio, A, at the output of the selective combiner. b) Derive an expression for the probability density function of the symbol energy-to-noise ratio, A, at the output of the selective combiner.

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We must take into account the statistics of the Rayleigh fading channel and the diversity combining scheme in order to derive the expressions for the ... View the full answer