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来显著减少对大规模商业光学和无线通信系统进行建模所需的时间。特别是，我们主要关注多准则程序的不同实施，我们最先将其扩展到通信系统。这项技术简化和改进了重要性抽样，因为它大大提高了与物理上感兴趣的事件(如系统故障)相关的统计上不太可能的状态的数字抽样概率。虽然自我们最初的研究以来已经发展了大量的文献，但很少有人对商业系统进行详细的分析。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、复杂调制格式和纠错码，其中包括光学非线性以及偏振模损耗和色散的影响。然后，我们将应用我们的技术的适当适应版本来优化相干的、补偿的高速光学系统的网络，以及无线通信系统和网络的现实模型。在这里，我们还将扩展我们的工作，重新表述一个系统的时间演变方面的矩阵从多正则程序。具体地说，我们将进一步发展我们先前涉及多维转移矩阵的描述，以便预测光学和无线系统的中断行为。

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.