Collaborative Research: Mathematical and Computational Methods in High Data-Rate Optical Fiber Communications

合作研究：高数据率光纤通信中的数学和计算方法

• 批准号: 0101387
• 负责人: Curtis Menyuk
• 金额: $ 32.21万
• 依托单位: University of Maryland Baltimore County
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2001
• 资助国家: 美国
• 起止时间: 2001-08-01 至 2005-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0101387&HistoricalAwards=false
• 关键词: Collaborative; Research; Mathematical; Computational; Methods

NSF Award Abstract - DMS-0101387 Mathematical Sciences: FRG: Mathematical and Computational Methods for High-Data-Rate Optical Fiber Communications AbstractDMS-0101387 Menyuk The goal of this research project is to develop new methods that can be used to determine the behavior of optical transmission systems under realistic circumstances. This will be accomplished by a combination of various techniques. One approach will exploit the mathematical structure of fiber transmission models in order to eliminate unessential degrees of freedom. The reduced models that will result will be more tractable mathematically and also much more computationally efficient. Another approach that will be used is the application of linearization and importance sampling techniques to enable the simulation of systems at realistic data error rates. These methods will be combined to study the main sources of impairment in optical fibers in order to achieve an accurate evaluation of system performance. All the techniques to be developed will be carefully validated by comparison to more computationally time-consuming models and to experiments. The development of high-data-rate optical fiber communications is one of the great technological achievements of the late 20th century; in the last decade alone, data rates have increased by four orders of magnitude. This enormous increase has made possible the growth of the global Internet that promises to continue to revolutionize day-to-day communications. Because demand for further growth continues unabated, however, system capacity is becoming limited by fiber transmission effects. It has therefore become crucial to accurately model and calculate the impairments due to non-ideal fiber properties when designing systems. Due to the tremendous data capacity that will be required of future transmission systems (terabits per second of aggregate capacity) and the need for extremely small transmission error rates (less than one error per trillion bits), realistic attempts to model and predict the effects of these impairments as they appear in practical systems present a number of difficult mathematical and computational challenges. The techniques that will be developed in this collaborative research project are expected to yield large reductions in the computational time required to model optical communication systems, and at the same time produce new insights into system behavior. Because these methods will be capable of providing detailed information about system performance at realistic data error rates, we believe they will lead to significant changes in the way in which optical transmission systems are modeled, and, ultimately, in the way that they are built.

美国国家科学基金会奖摘要-DMS-0101387数学科学奖：FRG：高数据速率光纤通信的数学和计算方法DMS-0101387 Menyuk这项研究项目的目标是开发新的方法，用于确定实际环境下光传输系统的行为。这将通过各种技术的组合来实现。一种方法将利用光纤传输模型的数学结构，以消除不必要的自由度。简化的模型将在数学上更容易处理，在计算上也更有效率。将使用的另一种方法是应用线性化和重要性采样技术，以使系统能够在实际数据错误率下进行仿真。这些方法将结合起来研究光纤中的主要损伤来源，以实现对系统性能的准确评估。所有将要开发的技术都将通过与更耗时的计算模型和实验进行比较来仔细验证。高数据速率光纤通信的发展是20世纪末的伟大技术成就之一；仅在过去的十年里，数据速率就增加了四个数量级。这一巨大的增长使全球互联网的增长成为可能，并有望继续为日常通信带来革命性的变化。然而，由于对进一步增长的需求有增无减，系统容量正受到光纤传输效应的限制。因此，在设计系统时，准确地模拟和计算由于非理想光纤特性引起的损伤变得至关重要。由于未来的传输系统将需要巨大的数据容量(聚合容量的每秒太比特)和对极小的传输误码率(少于每万亿比特一个错误)的需求，实际地尝试对出现在实际系统中的这些损伤的影响进行建模和预测提出了许多困难的数学和计算挑战。在这个合作研究项目中将开发的技术预计将大大减少对光通信系统建模所需的计算时间，同时对系统行为产生新的见解。由于这些方法将能够在实际数据误码率下提供有关系统性能的详细信息，我们相信它们将导致光传输系统的建模方式以及最终构建方式的重大变化。