F. Abramovich et P. Bayvel, SOME STATISTICAL REMARKS ON THE DERIVATION OF BER IN AMPLIFIED OPTICAL COMMUNICATION-SYSTEMS, IEEE transactions on communications, 45(9), 1997, pp. 1032-1034
We consider the signal detection problem in amplified optical transmis
sion systems as a statistical hypothesis testing procedure, and we sho
w that the detected signal has a well-known chi-squared distribution.
In particular, this approach considerably simplifies the derivation of
bit-error rate (EER). Finally, we discuss the accuracy of the Gaussia
n approximations to the exact distributions of the signal.