Optimization Algorithms of Neural Networks for Traditional Time-Domain Equalizer in Optical Communications

Neural networks (NNs) have been successfully applied to channel equalization for optical communications. In optical fiber communications, the linear equalizer and the nonlinear equalizer with traditional structures might be more appropriate than NNs for performing real-time digital signal processing, owing to its much lower computational complexity. However, the optimization algorithms of NNs are useful in many optimization problems. In this paper, we propose and evaluate the tap estimation schemes for the equalizer with traditional structures in optical fiber communications using the optimization algorithms commonly used in the NNs. The experimental results show that adaptive moment estimation algorithm and batch gradient descent method perform well in the tap estimation of equalizer. In conclusion, the optimization algorithms of NNs are useful in the tap estimation of equalizer with traditional structures in optical communications.

[1]  Zabih Ghassemlooy,et al.  Artificial Neural Network Nonlinear Equalizer for Coherent Optical OFDM , 2015, IEEE Photonics Technology Letters.

[2]  Pengqi Gou,et al.  A nonlinear ANN equalizer with mini-batch gradient descent in 40Gbaud PAM-8 IM/DD system , 2018, Optical Fiber Technology.

[3]  Chao Lu,et al.  Digital Signal Processing for Short-Reach Optical Communications: A Review of Current Technologies and Future Trends , 2018, Journal of Lightwave Technology.

[4]  P. Bayvel,et al.  Performance of single-mode fiber links using electronic feed-forward and decision feedback equalizers , 2005, IEEE Photonics Technology Letters.

[5]  Z. Ghassemlooy,et al.  Effective Denoising and Adaptive Equalization of Indoor Optical Wireless Channel With Artificial Light Using the Discrete Wavelet Transform and Artificial Neural Network , 2009, Journal of Lightwave Technology.

[6]  Léon Bottou,et al.  The Tradeoffs of Large Scale Learning , 2007, NIPS.

[7]  Oskars Ozolins,et al.  High Speed PAM-8 Optical Interconnects with Digital Equalization Based on Neural Network , 2016, 2016 Asia Communications and Photonics Conference (ACP).

[8]  Jianqiang Li,et al.  Approaching Nyquist Limit in WDM Systems by Low-Complexity Receiver-Side Duobinary Shaping , 2012, Journal of Lightwave Technology.

[9]  Yoram Singer,et al.  Adaptive Subgradient Methods for Online Learning and Stochastic Optimization , 2011, J. Mach. Learn. Res..

[10]  Changyuan Yu,et al.  Variable-Step DD-FTN Algorithm for PAM8-based Short-Reach Optical Interconnects , 2019, 2019 Conference on Lasers and Electro-Optics (CLEO).

[11]  Sebastian Ruder,et al.  An overview of gradient descent optimization algorithms , 2016, Vestnik komp'iuternykh i informatsionnykh tekhnologii.

[12]  Andreas Leven,et al.  Applying Neural Networks in Optical Communication Systems: Possible Pitfalls , 2017, IEEE Photonics Technology Letters.

[13]  OFC , 2013 .

[14]  Fernando De la Torre,et al.  Supervised Descent Method and Its Applications to Face Alignment , 2013, 2013 IEEE Conference on Computer Vision and Pattern Recognition.

[15]  Mariia Sorokina,et al.  Fiber echo state network analogue for high-bandwidth dual-quadrature signal processing. , 2019, Optics express.

[16]  Jürgen Schmidhuber,et al.  Deep learning in neural networks: An overview , 2014, Neural Networks.

[17]  Zabih Ghassemlooy,et al.  Visible Light Communications: 170 Mb/s Using an Artificial Neural Network Equalizer in a Low Bandwidth White Light Configuration , 2014, Journal of Lightwave Technology.

[18]  Guigang Zhang,et al.  Deep Learning , 2016, Int. J. Semantic Comput..

[19]  Jimmy Ba,et al.  Adam: A Method for Stochastic Optimization , 2014, ICLR.

[20]  Changyuan Yu,et al.  Joint FDE and MLSD Algorithm for 56-Gbit/s Optical FTN-PAM4 System Using 10G-Class Optics , 2019, Journal of Lightwave Technology.

[21]  Chao Lu,et al.  Modulation format identification in heterogeneous fiber-optic networks using artificial neural networks. , 2012, Optics express.

[22]  D. Marquardt An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .

[23]  Yikai Su,et al.  112-Gb/s SSB 16-QAM signal transmission over 120-km SMF with direct detection using a MIMO-ANN nonlinear equalizer. , 2019, Optics express.

[24]  Syed Tajammul Ahmad,et al.  Radial Basis Function Neural Network Nonlinear Equalizer for 16-QAM Coherent Optical OFDM , 2016, IEEE Photonics Technology Letters.

[25]  S. Chandrasekhar,et al.  OFC 2004 workshop on optical and electronic mitigation of impairments , 2005, Journal of Lightwave Technology.

[26]  Pedro M. Domingos A few useful things to know about machine learning , 2012, Commun. ACM.

[27]  Roberto Battiti,et al.  First- and Second-Order Methods for Learning: Between Steepest Descent and Newton's Method , 1992, Neural Computation.

[28]  Hanlin Feng,et al.  Demonstration of 50Gbps IM/DD PAM4 PON over 10GHz Class Optics Using Neural Network Based Nonlinear Equalization , 2017, 2017 European Conference on Optical Communication (ECOC).