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# In this problem we will derive the probability of bit error for QPSK in Rayleigh fading.

In this problem we will derive the probability of bit error for QPSK in Rayleigh fading.

Recall from class that the probability of bit error of QPSK in AWGN is Q(

p

SNR),

while in Rayleigh fading it is:

Pbit error = Ejhj2

[

Q

(√

jhj2SNR

)]

(5)

=

∫ 1

0

Q

(p

x SNR

)

fjhj2(x)dx (6)

where fjhj2(x) = e