SVM for Constellation Shaped 8QAM PON System

doi:10.12142/ZTECOM.2022S1009

ZTE Communications ›› 2022, Vol. 20 ›› Issue (S1): 64-71.DOI: 10.12142/ZTECOM.2022S1009

• Research Paper • Previous Articles Next Articles

SVM for Constellation Shaped 8QAM PON System

LI Zhongya^1,^3,, CHEN Rui^2,^3,, HUANG Xingang², ZHANG Junwen^1,^3,, NIU Wenqing^1,^3,, LU Qiuyi^1,^3,, CHI Nan¹()

^1.Key Laboratory for Information Science of Electromagnetic Waves, Fudan University, Shanghai 200433, China
^2.ZTE Corporation, Shenzhen 518057, China
^3.Department of Communication Science and Engineering, School of Information Science and Technology, Fudan University, Shanghai 200433, China
the Department of Communication Science and Engineering, School of Information Science and Technology, Fudan University, China

Received:2021-07-25 Online:2022-01-25 Published:2022-03-01
About author:LI Zhongya is with the Department of Communication Science and Engineering, School of Information Science and Technology, Fudan University, China.|CHEN Rui is with the Department of Communication Science and Engineering, School of Information Science and Technology, Fudan University, China.|HUANG Xingang is a senior expert of technical pre-research of ZTE Corporation. He received the M.S. degree in physics from Xi’an Jiaotong University, China in 2008. He is engaged in the research of optical access technology, especially in WDM-PON, TWDM-PON, NG-EPON, 50 G PON.|ZHANG Junwen is with the Department of Communication Science and Engineering, School of Information Science and Technology, Fudan University, China.|NIU Wenqing is with the Department of Communication Science and Engineering, School of Information Science and Technology, Fudan University, China.|LU Qiuyi is with the Department of Communication Science and Engineering, School of Information Science and Technology, Fudan University, China.|CHI Nan (nanchi@fudan.edu.cn) is with the Department of Communication Science and Engineering, School of Information Science and Technology, Fudan University, China.
Supported by:
the NSFC project(61925104);ZTE Industry?Academia?Research Cooperation Funds(HC?CN?20191231006)

Abstract

Abstract:

Nonlinearity impairments and distortions have been bothering the bandwidth constrained passive optical network (PON) system for a long time and limiting the development of capacity in the PON system. Unlike other works concentrating on the exploration of the complex equalization algorithm, we investigate the potential of constellation shaping joint support vector machine (SVM) classification scheme. At the transmitter side, the 8 quadrature amplitude modulation (8QAM) constellation is shaped into three designs to mitigate the influence of noise and distortions in the PON channel. On the receiver side, simple multi-class linear SVM classifiers are utilized to replace complex equalization methods. Simulation results show that with the bandwidth of 25 GHz and overall bitrate of 50 Gbit/s, at 10 dBm input optical power of a 20 km standard single mode fiber (SSMF), and under a hard-decision forward error correction (FEC) threshold, transmission can be realized by employing Circular (4, 4) shaped 8QAM joint SVM classifier at the maximal power budget of 37.5 dB.

Key words: passive optical networks, support vector machine, geometrically shaping, constellation classification, digital signal processing

LI Zhongya, CHEN Rui, HUANG Xingang, ZHANG Junwen, NIU Wenqing, LU Qiuyi, CHI Nan. SVM for Constellation Shaped 8QAM PON System[J]. ZTE Communications, 2022, 20(S1): 64-71.

Figures/Tables 11

Figure 1 Constellations of shaped 8 quadrature amplitude modulation (8QAM): (a) Circular (4, 4), (b) rectangular and (c) triangular

Figure 2 (a) Flow chart of SVM classifier, (b) nonlinear distortions of the three constellations and (c) their influences on hyperplanes of the SVM classifier

Figure 3 (a) Simulation setup of constellation shaped 8QAM PON system, (b) spectrum of the transmitted signal and (c) electro-absorption modulator (EAM) transmission characteristic

Figure 4 BER of Circular (4, 4) versus (a) roll off of shaping filter, (b) wavelength of LD, (c) line width of LD and (d) bias of laser

Figure 5 BER performance versus amplitude of the Tx signal (a) Circular (4, 4), (b) Rectangular and (c) Triangular

Figure 6 Distortions under different levels of nonlinearity

Figure 7 The classification results of SVM and ED decision: (a) Circular (4, 4), (b) Rectangular and (c) Triangular

Figure 8 BER performance versus bandwidth limitation of fiber system: (a) Circular (4, 4), (b) Rectangular and (c) Triangular

Figure 9 BER performance versus received power: (a) Circular (4, 4), (b) Rectangular and (c) Triangular

Figure 10 BER performance versus fiber input power: (a) Circular (4, 4), (b) Rectangular and (c) Triangular

Table 2 Computational complexity

Methods	Training		Prediction
Methods	Additions	Multiplications	Additions	Multiplications
LMS	$(M 1 + ? M 1 + 1) T 1$	$(M 1 + ? M 1 + 1) T 1$	$M 1$	$M 1$
LMS-VOT	$(2 M 1 + M 2 M 2 + 1 2$ $+ M 2 2 + 2) T 1$	$(2 M 1 + M 2 M 2 + 1$ $+ M 2 2 + 2) T 1$	$M 1 + M 2 M 2 + 1 2 + 1$	$M 1 + M 2 M 2 + 1$
SVM^[19]	$O (N s 2 + N s d T 2)$		$O (N s d)$

Table 2 Computational complexity

Methods	Training		Prediction
Methods	Additions	Multiplications	Additions	Multiplications
LMS	$(M 1 + ? M 1 + 1) T 1$	$(M 1 + ? M 1 + 1) T 1$	$M 1$	$M 1$
LMS-VOT	$(2 M 1 + M 2 M 2 + 1 2$ $+ M 2 2 + 2) T 1$	$(2 M 1 + M 2 M 2 + 1$ $+ M 2 2 + 2) T 1$	$M 1 + M 2 M 2 + 1 2 + 1$	$M 1 + M 2 M 2 + 1$
SVM^[19]	$O (N s 2 + N s d T 2)$		$O (N s d)$

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SVM for Constellation Shaped 8QAM PON System

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