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5 October 2005 Estimation of the four-wave mixing distortion statistics using the multi-canonical Monte Carlo method
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The performance of high-powered Wavelength Division Multiplexed (WDM) optical networks can be severely degraded due to the Four Wave Mixing (FWM) induced distortion. FWM distortion depends on the statistics of the signals carried by the WDM channels and hence the Gaussian approximation may not be valid. This implies that the well known Q-factor method can not be used to yield an accurate value for the performance of the system in terms of the Bit-Error Rate (BER) of the receiver. To evaluate the BER, one must determine the probability density function (PDF) of the decision variable in the presence of FWM noise, which is related to the signal statistics in a complex manner and can not be evaluated in closed form. In this paper, the Multi-Canonical Monte Carlo Method (MCMC) is used to calculate the PDF of the decision variable of a receiver, limited by FWM noise. Compared to the conventional Monte Carlo method previously used in the literature to estimate this PDF, the MCMC method is much faster and can accurately estimate very low Bit Error Rates. The method takes into account the correlation between the components of the FWM noise unlike the Gaussian model, which is shown not to provide accurate results. The impact of traffic burstiness in the performance of a FWM limited WDM receiver is also investigated using MCMC. It is shown that the traffic load can significantly affect the performance of the system.
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Ioannis Neokosmidis, Thomas Kamalakis, A. Chipouras, and Thomas Sphicopoulos "Estimation of the four-wave mixing distortion statistics using the multi-canonical Monte Carlo method", Proc. SPIE 5949, Nonlinear Optics Applications, 594915 (5 October 2005);

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