Abstract
In this paper, we mathematically derive the probability density function (PDF) of the
received electrical signal for coherent fiber-optic transmission systems. Both amplified
spontaneous emission (ASE) noise and fiber nonlinearity are taken into account. The results
show that the PDF of a bit “0” or “1” is asymmetric
when intra-channel four-wave mixing (IFWM) is dominant. However, the PDF becomes nearly
symmetric when the variance of ASE is much larger than that due to IFWM. The standard
deviation of the received signal is calculated analytically. It is shown that the variance
varies quadratically with launch power. We also investigate the optimum system scheme,
including optimum dispersion map and pre-compensation ratio, for the coherent fiber-optic
systems based on analytically calculated variance of IFWM.
© 2009 IEEE
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