Consider a transmit diversity system with N antennas in a Rayleigh fading channel. The total…

Consider a transmit diversity system with N antennas in a
Rayleigh fading channel. The total transmit power is P.

a. Assume that the CSI is not available at the transmitter
and the transmitter equally divides its power P between N transmit antennas.
Determine the pdf of the received SNR _ at the output of aMRC receiver,
assuming that N signals undergo i.i.d. fading.

b. The pdf of the SNR of a Nakagami-m fading random variable
is given by the Gamma distribution

where m denotes the fading figure and _(m) = (m _
1)! when m is an integer. Comparing the result that you obtained in

Consider a transmit diversity system with N antennas in a
Rayleigh fading channel. The total transmit power is P.

a. Assume that the CSI is not available at the transmitter
and the transmitter equally divides its power P between N transmit antennas.
Determine the pdf of the received SNR _ at the output of aMRC receiver,
assuming that N signals undergo i.i.d. fading.

b. The pdf of the SNR of a Nakagami-m fading random variable
is given by the Gamma distribution

where m denotes the fading figure and _(m) = (m _
1)! when m is an integer. Comparing the result that you obtained in part (a)
with the above, how can you interpret the Gamma distribution? Comment on the
meaning of P0 and m

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