低复杂度数字背向传播的新思路
A New Twist on Low-Complexity Digital Backpropagation
AI总结：
本文提出一种结合类SSFM结构与简化对数微扰的低复杂度数字背向传播方法CB-ESSFM，通过子带处理与优化非对称步长减少步数，仿真表明在15步内显著优于传统SSFM等方法。
摘要：
本文提出了一种新颖的低复杂度数字背向传播（DBP）方法，旨在优化背向传播精度与复杂度之间的折中。该方法结合了类似于分步傅里叶方法（SSFM）的结构与简化的对数微扰方法，以在少量DBP步数下获得高精度。此外，还采用了子带处理和具有优化分步比的非对称步长，以进一步减少达到规定性能所需的步数。手稿的第一部分致力于推导用于光信号在光纤中传播的简化对数微扰模型，该模型用于开发所提出的耦合带增强分步傅里叶方法（CB-ESSFM），并用于解析计算模型系数。接下来，手稿提出了一种基于该模型的离散时间版本和重叠保留处理策略来实现DBP的DSP算法。此外，还讨论了优化算法中使用的系数及非对称步长分步比的实用方法。文中对计算复杂度进行了详细分析。最后，通过仿真研究了所提DBP方法的性能和复杂度。在跨越15x80 km单模光纤链路的五通道100 GHz间距波分复用系统中，所提出的CB-ESSFM在仅15步（相当于每个2D符号681次实数乘法）的情况下，比简单色散补偿获得了约1 dB的增益，比传统SSFM提高了0.9 dB，比我们之前提出的ESSFM提高了近0.4 dB。在较低复杂度下也获得了显著的增益和改进。对更长链路也进行了类似的分析，证实了所提方法的良好性能。
英文摘要：
This work proposes a novel low-complexity digital backpropagation (DBP) method, with the goal of optimizing the trade-off between backpropagation accuracy and complexity. The method combines a split step Fourier method (SSFM)-like structure with a simplified logarithmic perturbation method to obtain a high accuracy with a small number of DBP steps. Subband processing and asymmetric steps with optimized splitting ratio are also employed to further reduce the number of steps required to achieve a prescribed performance. The first part of the manuscript is dedicated to the derivation of a simplified logarithmic-perturbation model for the propagation of signal in an optical fiber, which serves for the development of the proposed coupled-band enhanced split step Fourier method (CB-ESSFM) and for the analytical calculation of the model coefficients. Next, the manuscript presents a DSP algorithm for the implementation of DBP based on a discrete-time version of the model and an overlap-and-save processing strategy. Practical approaches for the optimization of the coefficients used in the algorithm and of the splitting ratio of the asymmetric steps are also discussed. A detailed analysis of the computational complexity is presented. Finally, the performance and complexity of the proposed DBP method are investigated through simulations. In a five-channel 100 GHz-spaced wavelength division multiplexing system over a 15x80 km single-mode-fiber link, the proposed CB-ESSFM achieves a gain of about 1dB over simple dispersion compensation with only 15 steps (corresponding to 681 real multiplications per 2D symbol), with an improvement of 0.9 dB over conventional SSFM and almost 0.4dB over our previously proposed ESSFM. Significant gains and improvements are obtained also at lower complexity. A similar analysis is performed also for longer links, confirming the good performance of the proposed method.
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