Simulation of Rare Events in Lightwave Systems

光波系统中罕见事件的模拟

• 批准号: 0538499
• 负责人: Richard Moore
• 金额: --
• 依托单位: New Jersey Institute of Technology
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2006
• 资助国家: 美国
• 起止时间: 2006-04-01 至 2009-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0538499&HistoricalAwards=false
• 关键词: Simulation; Rare; Events; Lightwave; Systems

The goal of the work outlined in this proposal is to develop Monte Carlo-based statistical techniques to calculate the likelihood of rare events such as dropped bits in optical communications systems. These techniques will be applicable to problems that are so complex (through nonlinear and nonautonomous terms, for example) as to be analytically intractable, for calculating the probability of events that are so rare as to be impossible to quantify using standard computational methods. The techniques will rely on using perturbation methods and variational principles, in conjunction with optimization methods, to reduce the dimension of the underlying partial differential equations in order to determine appropriate sampling heuristics.The immediate application of this work will be to determine the impact of modulation formats on the robustness of a fiber-optic communications line when exposed to random impairments such as amplifier noise. More broadly, the strict tolerances in optical communications (a single dropped bit for each gigabit or terabit transmitted) provide for a large host of problems in the industry to which these techniques will be well suited. Finally, there are many situations that arise in industry and nature where one would liketo determine the probability of a rare event in the context of a stochastic nonlinear wave setting; this work will provide techniques to accomplish this. This GOALI project was jointly funded by the Division of Mathematical Sciences (DMS) and the MPS Office of Multidisciplinary Activities (OMA).

该提案中概述的工作的目的是开发基于蒙特卡洛的统计技术，以计算罕见事件的可能性，例如光学通信系统中掉落的位置。 这些技术将适用于如此复杂的问题（例如，通过非线性和非自主术语），以便在分析上棘手，用于计算事件的概率如此罕见，以至于不可能使用标准计算方法量化事件。 这些技术将依靠使用扰动方法和变异原理以及优化方法来降低基础偏微分方程的尺寸，以确定适当的采样启发式方法。该工作的立即应用将是为了确定调制格式对交流频道的稳健性的影响，例如，在exportical impaim频道上，以便确定适当的频线的影响。 更广泛地说，光学通信的严格公差（每个千兆位或trabit传输的单个掉落位）为行业中的许多问题提供了非常适合这些技术的许多问题。 最后，在工业和自然界中出现了许多情况，人们认为在随机非线性波动的背景下，可以确定罕见事件的可能性。这项工作将提供实现这一目标的技术。 该目标项目由数学科学（DMS）和国会议员多学科活动（OMA）共同资助。