Abstract
Polarization mode dispersion (PMD) has been a major impediment in achieving
higher speeds in optical fiber communication systems. Various approaches and
techniques for the basic theoretical analysis, modeling, simulation, and compensation
of PMD have been proposed in the literature. In this paper, we present a novel
and fresh approach to the modeling, emulation and inversion of PMD in optical
fibers. In our approach, we first build a full PMD model based on coupled
mode theory as a continuous-time, lumped and lossless system. We then develop
systematic model dimension reduction techniques, adapted from Krylov-subspace
based methods for large electronic systems, in order to obtain compact and
low complexity PMD models. The reduced complexity models produced by our technique
match the full PMD model over a specifiable frequency range of interest, have
the same structure as the full model, and are amenable to efficient software
and low complexity hardware implementations for emulation and inversion. Furthermore,
the reduced compexity PMD modeling framework we develop in this paper can
serve as a general formalism for studying the compressibility of PMD models
and emulators.
© 2008 IEEE
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