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Performance analysis and design of WDM based optical communication systems using a Volterra series method.

机译:使用Volterra级数方法的基于WDM的光通信系统的性能分析和设计。

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摘要

Future broadband fiber optic communication systems must be based on wavelength division multiplexing (WDM) techniques, which will push the capacity of a single fiber link to the order of 10 Terabits per second. Traditionally, most of the performance analysis and system design for a single wavelength channel system is based on over-simplified analytical expressions or intensive simulations. This is not feasible for WDM based systems due to increase in bandwidth, more pronounced fiber nonlinearity and enhanced system complexity. The task of this dissertation is to develop effective analytical tools for performance analysis and system design of such systems, with a goal to reduce or equalize the combined effect of group-velocity dispersion (GVD) and fiber nonlinearities.; A Volterra series method, developed by Peddanarappagari and Brandt-Pearce, can give a closed-form Volterra series transfer function (VSTF) solution to the nonlinear Schrödinger (NLS) equation, which describes optical pulses propagating through a single mode optical fiber. In this dissertation, a modified NLS equation is derived to model systems with a much broader transmission bandwidth. By using a total field formulation the modified NLS equation is shown to be proper for WDM based systems without a need to change the equation form. Therefore, the VSTF solution for WDM based systems keeps the same form as for single wavelength channel systems. System parameters can be easily included into this VSTF solution. Thus many performance analysis and system design problems can be solved analytically.; Due to analytical and computational complexity, the VSTF solution must be truncated to the third order. This truncated third order solution is equivalent to the first order perturbation solution, which means that a small signal approximation is assumed. Thus the accuracy of this truncated VSTF solution becomes worse when fiber nonlinearities become more pronounced, as in WDM based systems. Therefore, it is necessary to investigate the accuracy systematically. After evaluating the third order model accuracy and inspecting various nonlinear effects, the truncation of the VSTF to third order is found sufficient for future broadband WDM based terrestrial applications when measures have been taken to suppress such nonlinear effects. Furthermore, application range characteristics are given as performance analysis and system design guide lines.; The applications for performance analysis and system design by using the third order VSTF method are illustrated by a nonlinear equalizer design example. A unified system equalization theory is given, which can explain several practical applications. An optimal equalizer is obtained, and the parameter mismatch sensitivity for such an optimal equalizer is analyzed. Another equalization scheme which uses optical phase conjugation (OPC) and Raman amplification is discussed. System optimization and design criteria, such as eye opening penalty (EOP), Q factor, and bit error rate (BER), are summarized. Using the third order Volterra series method, a BER upper bound for a channel of interest in a WDM system is discussed for the GVD optimization problem. The discussion shows that to apply the third order VSTF solution to the field of performance analysis and design for WDM based systems, signal dependent inter-channel interaction has to be studied carefully in the future. Finally, after a summary of major results of the dissertation, possible research directions using the Volterra series method for performance analysis and system design for WDM based systems are introduced as future work.
机译:未来的宽带光纤通信系统必须基于波分复用(WDM)技术,它将单条光纤链路的容量提高到每秒10兆比特。传统上,单波长通道系统的大多数性能分析和系统设计都是基于过于简化的分析表达式或密集的仿真。由于带宽增加,更明显的光纤非线性和增强的系统复杂性,这对于基于WDM的系统是不可行的。本文的任务是开发有效的分析工具,以进行此类系统的性能分析和系统设计,以减少或均衡群速度色散(GVD)和光纤非线性的综合影响。由Peddanarappagari和Brandt-Pearce开发的Volterra级数方法可以为非线性Schrödinger(NLS)方程提供封闭形式的Volterra级数传递函数(VSTF)解,该方程描述了通过单模光纤传播的光脉冲。本文推导了一种改进的NLS方程,以对具有较宽传输带宽的系统进行建模。通过使用总场公式,修改后的NLS方程式显示适用于基于WDM的系统,而无需更改方程式。因此,基于WDM的系统的VSTF解决方案保持与单波长通道系统相同的形式。系统参数可以轻松地包含在此VSTF解决方案中。因此,许多性能分析和系统设计问题都可以通过分析来解决。由于分析和计算的复杂性,VSTF解决方案必须被截断为三阶。截断的三阶解等于一阶扰动解,这意味着假定信号近似。因此,如在基于WDM的系统中,当光纤非线性变得更加明显时,这种截断的VSTF解决方案的精度会变差。因此,有必要系统地研究其准确性。在评估了三阶模型的准确性并检查了各种非线性效应之后,当采取措施抑制此类非线性效应时,发现将VSTF截断为三阶足以满足未来基于宽带WDM的地面应用。此外,还给出了应用范围特征,作为性能分析和系统设计指南。非线性均衡器设计实例说明了使用三阶VSTF方法进行性能分析和系统设计的应用。给出了统一的系统均衡理论,可以解释几种实际应用。获得最佳均衡器,并分析这种最佳均衡器的参数失配灵敏度。讨论了使用光相位共轭(OPC)和拉曼放大的另一种均衡方案。总结了系统优化和设计标准,例如睁眼罚分(EOP),Q因子和误码率(BER)。使用三阶Volterra级数方法,针对GVD优化问题,讨论了WDM系统中目标信道的BER上限。讨论表明,要将三阶VSTF解决方案应用于基于WDM的系统的性能分析和设计领域,将来必须仔细研究与信号相关的通道间交互作用。最后,在总结了论文的主要成果之后,介绍了使用Volterra级数方法进行基于WDM的系统性能分析和系统设计的可能的研究方向,作为未来的工作。

著录项

  • 作者

    Zhang, Qun.;

  • 作者单位

    University of Virginia.;

  • 授予单位 University of Virginia.;
  • 学科 Engineering Electronics and Electrical.; Physics Optics.
  • 学位 Ph.D.
  • 年度 2001
  • 页码 166 p.
  • 总页数 166
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 无线电电子学、电信技术;光学;
  • 关键词

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