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

我们工作的主要目标是通过开发或应用先进的物理和数值程序，显着减少所需的时间来模拟大规模的商业光和无线通信系统。 特别是，我们主要关注的是不同的实现的multicanonical过程，我们是第一个扩展到通信系统。 这种技术既简化了重要性抽样，又改进了重要性抽样，因为它大大提高了与物理上感兴趣的事件（如系统中断）相关的统计上不太可能的状态的数值抽样概率。 虽然大量的文献已经开发，因为我们的初步研究，商业系统进行了详细的分析。 因此，我们将研究相干波分复用相干通信系统，高速电子补偿器，复杂的调制格式和纠错码结合光学非线性和偏振模损耗和色散的影响。 然后，我们将适用于我们的技术的适当适应版本的相干，补偿高速光学系统的网络的优化，以及现实的无线通信系统和网络的模型。 在这里，我们也将扩展我们的工作重新制定的时间演变的系统中的矩阵来自多规范的程序。 具体来说，我们将进一步发展我们以前的描述，涉及多维转移矩阵，以预测光和无线系统的中断行为。 在我们的多规范研究的同时，我们将继续我们正在进行的工作，对基于李代数技术的偏振的频率相关行为的综合数学模型的应用，以高速偏振测量程序。 最后，我们将继续发展和研究从光纤链路末端测得的偏振行为推断光纤系统特性的理论程序。

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.