Techniques for Error Analysis and Measurement in Optical and Wireless Communication Systems

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The primary goal of our work is to reduce significantly the time required to model large-scale commercial optical and wireless communication systems by developing or applying advanced physical and numerical procedures. In particular, we are primarily concerned with different implementations of the multicanonical procedure, which we were the first to extend to communications systems. This technique both simplifies and refines importance sampling in that it greatly enhances the numerical sampling probability of statistically unlikely states associated with physically interesting events such as system outages. While a large body of literature has developed since our initial studies, few detailed analyses of commercial systems have been undertaken. Accordingly, we will investigate coherent wavelength-division-multiplexed coherent communication systems, high-speed electronic compensators, complex modulation formats and error-correcting-codes incorporating the effects of optical nonlinearities and polarization mode loss and dispersion. We will then apply suitably adapted versions of our techniques to the optimization of networks of coherent, compensated high-speed optical systems as well as to realistic models of wireless communication systems and networks. Here we will also extend our work on reformulating the time evolution of a system in terms of matrices derived from the multicanonical procedure. Specifically, we will further develop our previous description involving multidimensional transition matrices in order to predict the outage behavior of optical and wireless systems. In parallel with our multicanonical studies we will pursue our ongoing work on the application of a comprehensive mathematical model of the frequency dependent behavior of the polarization based on Lie algebraic techniques to high-speed polarization measurement procedures. Finally, we will continue to develop and examine theoretical procedures for inferring properties of an optical fiber system from the measured polarization behavior at the end of the fiber link.