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，显著减少大规模商业光学和无线通信系统建模所需的时间。特别是，我们主要关注多规范过程的不同实现，我们是第一个将其扩展到通信系统的。这种技术既简化了重要性采样，也改进了重要性采样，因为它极大地提高了统计上不太可能与物理上有趣的事件（如系统中断）相关的状态的数值采样概率。虽然自我们最初的研究以来已经有了大量的文献，但很少有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，包括光学非线性和偏振模式损失和色散的影响。然后，我们将适当地将我们的技术应用于相干、补偿高速光学系统网络的优化，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，重新制定一个系统的时间演变的矩阵，从多规范程序派生。具体来说，我们将进一步发展我们之前的描述，涉及多维转换矩阵，以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.