Multicanonical communication system modeling-application to PMD statistics

Multicanonical Monte Carlo Method Applied to the Investigation of Polarization Effects in Optical Fiber Communication Systems

“…This assumption is valid in a large number of problems in optical fiber communications, including the pdf of the DGD in fibers with an arbitrary number of sections [19], [23]. The recursions in (1) and (2) were derived by applying a quasi-linear approximation to the logarithm of the pdf in addition to a method for combining the information in the current histogram with that of previous iterations according to their relative statistical significance [16], [19].…”

Multicanonical Evaluation of the Tails of the Probability Density Function of Semiconductor Optical Amplifier Output Power Fluctuations

“…We model the gain by a linear function of the carrier density , i.e., with the carrier density at transparency. The unsaturated gain , i.e., the steady-state gain when , is (4) in which is the current injected into the SOA, is the elementary charge, and is the active volume. The system of rate equations (1) and (2) are solved by a method which is discussed in detail in [20] and is based on the method of [21].…”

“…In the field of optical communications, the MMC method was first applied to calculate polarization-mode dispersion emulator statistics [4], and the example has since been widely used as a laboratory for studying different schemes of biasing Monte Carlo calculations [5]- [9]. The MMC algorithm can also be employed to study the reduction in performance of optical communication systems arising from spontaneous emission noise generated in transmitters and optical amplifiers.…”

Statistical Errors in Biasing Monte Carlo Simulations With Applications to Polarization-Mode Dispersion Compensators

“…For this reason, since its invention by Berg and Neuhaus [45]- [47] and its introduction into studies of optical communications systems by Yevick [48], it has been successfully applied in a variety of contexts in optical fiber communications [12], [13], [17]- [21], [27]. In the present context, it has two advantages.…”

“…More details may be found in [23], [25], and [27]. The basic approach that we use was first used by Berg and Neuhaus [45]- [47] for statistical physics applications and later by Yevick [48] to calculate DGD pdfs. In this method, one carries out J iterations of a Metropolis MC simulation, in which one uses the results of the previous iteration to rebias the next iteration.…”