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Title: Adaptive moment estimation for polynomial nonlinear equalizer in PAM8-based optical interconnects
Authors: Zhou, J
Wang, HD
Wei, JL
Liu, L
Huang, XC
Gao, SC
Liu, WP
Li, JP
Yu, CY 
Li, ZH
Issue Date: 2019
Publisher: Optical Society of America
Source: Optics express, 2019, v. 27, no. 22, p. 32210-32216 How to cite?
Journal: Optics express 
Abstract: Adaptive moment estimation (Adam) is a popular optimization method to estimate large-scale parameters in neural networks. This paper proposes the first use of Adam algorithm to fast and stably converge large-scale tap coefficients of polynomial nonlinear equalizer (PNLE) for 129-Gbit/s PAM8-based optical interconnects. PNLE is one of simplified Volterra nonlinear equalizer for making a trade-off between complexity and performance. Different from serial least-mean square (LMS) adaptive algorithm, Adam algorithm is a parallel processing algorithm, which can obtain globally optimal tap coefficients without being trapped in locally optimal tap coefficients. Timing error is one of the main obstacles to the PAM systems with high baud rate and high modulation order. Owing to parallel processing and global optimization, Adam algorithm has much better performance on resisting the timing error, which can achieve faster, more-stable and lower-MSE convergence compared to LMS adaptive algorithm. In conclusion, Adam algorithm shows great potential for converging the tap coefficients of PNLE in PAM8-based optical interconnects.
EISSN: 1094-4087
DOI: 10.1364/OE.27.032210
Rights: © 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement (
Journal © 2019
The following publication Ji Zhou, Haide Wang, Jinlong Wei, Long Liu, Xincheng Huang, Shecheng Gao, Weiping Liu, Jianping Li, Changyuan Yu, and Zhaohui Li, "Adaptive moment estimation for polynomial nonlinear equalizer in PAM8-based optical interconnects," Opt. Express 27, 32210-32216 (2019) is available at
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