The photon-number distribution at the output of an erbium-doped fibre amplifier (EDFA) with coherent light at the input is shown to obey the noncentral-negative-binomial (NNB) distribution. The use of this distribution in a binary on/off keying system gives rise to a lower bit-error rate (BER) than the Gaussian distribution, because the tails of these distributions differ (even for large mean input photon numbers).
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Li et al. (1991) studied this question.
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