Equalization Techniques based on Cyclic Prefix in Space Division Multiplexing Systems

WANG Liuzhu; ZHENG Zhilong; XUE Yuling; HU Shaohua; ZHANG Jing; QIU Kun

doi:10.13756/j.gtxyj.2024.230048

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Equalization Techniques based on Cyclic Prefix in Space Division Multiplexing Systems

更新时间：2024-05-30

- Equalization Techniques based on Cyclic Prefix in Space Division Multiplexing Systems
- Study on Optical Communications Issue 3, Pages: 23004801-23004805(2024)
- 作者机构：
  
  电子科技大学　信息与通信工程学院，光纤传感与通信教育部重点实验室，成都　611731
- 作者简介：
- 基金信息：
- DOI：10.13756/j.gtxyj.2024.230048
  CLC： TN911
- Published：10 June 2024，
  
  Received：04 April 2023，
  
  Revised：13 April 2023，
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王刘柱，郑之龙，薛玉玲，等.基于循环前缀的空分复用系统均衡技术研究[J].光通信研究，2024（3）：230048.

Wang L Z, Zheng Z L, Xue Y L, et al. Equalization Techniques based on Cyclic Prefix in Space Division Multiplexing Systems[J]. Study on Optical Communications, 2024（3）：230048.
王刘柱，郑之龙，薛玉玲，等.基于循环前缀的空分复用系统均衡技术研究[J].光通信研究，2024（3）：230048. DOI： 10.13756/j.gtxyj.2024.230048.

Wang L Z, Zheng Z L, Xue Y L, et al. Equalization Techniques based on Cyclic Prefix in Space Division Multiplexing Systems[J]. Study on Optical Communications, 2024（3）：230048. DOI： 10.13756/j.gtxyj.2024.230048.

摘要

【目的】

在空分复用系统中，为了实现模式解复用，需要在接收端采用多入多出（MIMO）的均衡方案。随着传输模式数或者传输容量的上升，MIMO的计算复杂度急剧升高，致使对应的硬件模块功耗过大，必须降低MIMO均衡的计算复杂度。

【方法】

针对少模光纤短距传输系统，文章提出了用基于循环前缀（CP）的频域联合均衡技术来代替基于块卷积且带有独立色散补偿模块的频域均衡技术以降低MIMO均衡计算复杂度。

【结果】

基于VPI仿真软件中的少模光纤模型，搭建了6×6少模光纤仿真平台验证所提技术的性能与计算复杂度。仿真结果表明，在训练符号长度有限的前提下，不同CP占比的均衡性能和计算复杂度降低也有所差异。相同仿真条件下，CP占比越大，计算复杂度降低越大；CP占比越小，计算复杂度降低越小。在保持均衡性能一致的前提下，CP占比为11.11%的频域均衡方案的计算复杂度仅为传统的基于块卷积的频域均衡方案的15.29%。

【结论】

在均衡性能保持一致的前提下，相较于传统的基于块卷积且带有单独的色散补偿模块的频域均衡方案，文章所提出的添加CP的频域均衡方案具有更低的计算复杂度。

Abstract

【Objective】

In Space Division Multiplexing (SDM) system

in order to achieve mode demultiplexing

it is necessary to adopt Multiple Input Multiple Output (MIMO) equalization scheme at the receiving end. As the number of transmission modes or transmission capacity increases

the computational complexity of MIMO increases significantly

resulting in high power consumption. Therefore

it is necessary to reduce the computational complexity of MIMO equalization.

【Methods】

We propose a frequency-domain joint equalization technique based on Cyclic Prefix (CP) to reduce the complexity compared with a traditional frequency-domain independent equalization and a separate dispersion compensation module in few-mode fiber short-range transmission systems.

【Results】

Based on the few-mode fiber model in VPI simulation platform

we build a 6×6 few-mode fiber transmission system to verify the advantage of computational complexity reduction of the proposed technology. The simulation results show that

the performance and computational complexity reduction of different CP ratios are also different. Under the same simulation conditions

when the proportion of CP is larger

the reduction of computational complexity is also larger

vice versa. With the same performance

the computational complexity of the frequency-domain equalization scheme with CP accounting for 11.11%is only 15.29%of that of the traditional frequency-domain equalization scheme based on block convolution.

【Conclusion】

Compared with the traditional frequency-domain equalization combined with a separate dispersion compensation module

the proposed frequency-domain equalization with CP has lower computational complexity.

关键词

空分复用频域均衡循环前缀计算复杂度

Keywords

SDMfrequency domain equalizationCPcomputational complexity

references

Winzer P J, Foschini G J. MIMO Capacities and Outage Probabilities in Spatially Multiplexed Optical Transport Systems[J]. Optics Express, 2011, 19(17): 16680-16696.

Richardson D J, Fini J M, Nelson L E. Space-division Multiplexing in Optical Fibres[J]. Nature Photonics, 2013, 7(5): 354-362.

Randel S, Ryf R, Sierra A, et al. 6×56-Gb/s Mode-division Multiplexed Transmission over 33-km Few-mode Fiber Enabled by 6×6 MIMO Equalization[J]. Optics Express, 2011, 19(17): 16697-16707.

Luis R S, Puttnam B J, Rademacher G, et al. On the Use of High-order MIMO for Long-distance Homogeneous Single-Mode Multicore Fiber Transmission[C]//2017 European Conference on Optical Communication (ECOC). Gothenburg, Sweden: IEEE, 2018.

Shibahara K, Lee D, Kobayashi T, et al. Dense SDM (12-core×3-mode) Transmission over 527 km with 33.2-ns Mode-dispersion Employing Low-complexity Parallel MIMO Frequency-domain Equalization[C]//Optical Fiber Communications Conference & Exhibition. Los Angeles, CA, USA: IEEE, 2015.

Bai N, Li G. Adaptive Frequency-domain Equalization for Mode-division Multiplexed Transmission[J]. IEEE Photonics Technology Letters, 2012, 24(21): 1918-1921.

Randel S, Winzer P J, Montoliu M, et al. Complexity Analysis of Adaptive Frequency-domain Equalization for MIMO-SDM Transmission[C]//39th European Conference and Exhibition on Optical Communication (ECOC 2013). London: IET, 2013: 1-3.

Eghbali A, Johansson H, Gustafsson O, et al. Optimal Least-squares FIR Digital Filters for Compensation of Chromatic Dispersion in Digital Coherent Optical Receivers[J]. Journal of Lightwave Technology, 2014, 32(8): 1449-1456.

Sheikh A, Fougstedt C, Amat A G i, et al. Dispersion Compensation FIR Filter with Improved Robustness to Coefficient Quantization Errors[J]. Journal of Light-wave Technology, 2016, 34(22): 5110-5117.

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