基于能量色散指数的光纤非线性干涉模型的符号序列时间能量分析
Temporal Energy Analysis of Symbol Sequences for Fiber Nonlinear Interference Modelling via Energy Dispersion Index
摘要：
研究了独立同分布（i.i.d.）输入符号提供了对光纤传输期间引起的非线性干扰（NLI）的了解。例如，已知峰度用于预测调制格式相关的NLI。这些统计特性可以用于概率幅度整形（PAS）的设计中，概率幅度整形（PAS）是一种依赖于幅度整形器来提高光纤系统的光谱效率的流行方案。PAS中使用的某些整形器（包括恒定成分分布匹配器）的一个经常被忽视的特性是引入了幅度之间的时间依赖性。这种依赖性导致非独立同分布的符号，其具有随时间变化的统计特性。有些令人惊讶的是，PAS中的有效信噪比（SNR）已被证明是增加时，整形块长度减少。SNR的这种块长度依赖性归因于符号序列的时变统计特性，特别是符号能量的变化。本文研究了符号序列的时间能量行为，并引入了一种新的能量分散指数（EDI）。EDI捕获符号能量的时变统计特性。数值计算结果表明，EDI和有效信噪比之间的强相关性，与99%以上的绝对相关系数为不同的传输距离。
英文摘要：
The stationary statistical properties of independent, identically distributed (i.i.d.) input symbols provide insights on the induced nonlinear interference (NLI) during fiber transmission. For example, kurtosis is known to predict the modulation format-dependent NLI. These statistical properties can be used in the design of probabilistic amplitude shaping (PAS), which is a popular scheme that relies on an amplitude shaper for increasing spectral efficiencies of fiber-optic systems. One property of certain shapers used in PAS -- including constant-composition distribution matchers -- that is often overlooked is that a time-dependency between amplitudes is introduced. This dependency results in symbols that are non-i.i.d., which have time-varying statistical properties. Somewhat surprisingly, the effective signal-to-noise ratio (SNR) in PAS has been shown to increase when the shaping blocklength decreases. This blocklength dependency of SNR has been attributed to time-varying statistical properties of the symbol sequences, in particular, to variation of the symbol energies. In this paper, we investigate the temporal energy behavior of symbol sequences, and introduce a new metric called energy dispersion index (EDI). EDI captures the time-varying statistical properties of symbol energies. Numerical results show strong correlations between EDI and effective SNR, with absolute correlation coefficients above 99% for different transmission distances.
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