Abstract
The performance evaluation of optical differential quadrature phase-shift keying
(DQPSK) systems through numerical simulation using a Gaussian approach (GA) for the
equivalent differential phase (EDP) statistics is analyzed. It is shown that the GA
describes quite accurately the probability density function (PDF) of EDP for a large
range of DQPSK receiver (RX) imperfections. A semi-analytical simulation method (SASM)
for bit error probability (BEP) evaluation based on the GA for the EDP is derived,
proving to be quite accurate in presence of RX imperfections. The SASM takes into
account the signal-noise beat variance dependence on signal waveform distortion and
arbitrary optical and electrical filtering frequency responses. Closed-form expressions
for the mean and standard deviation of EDP are derived which allows evaluating the DQPSK
system performance in a quite time-efficient manner. Discrepancies not exceeding 0.1 dB
on the optical SNR penalty estimated by the SASM for a BEP of $10^{-4}$ when compared
with Monte Carlo simulation are observed for the majority of the acceptable RX
imperfections. Only the time-misalignment of the signals at the balanced detector input
leads to higher discrepancies but not exceeding 0.3 dB even for considerable
time-misalignment.
© 2010 IEEE
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