A Low-Complexity Phase Estimation Method for Spatially Coherent Optical Communication Based on Piecewise Parabolic Interpolation

Longyao Xu; Zhengxuan Li; Hao Li; Yuanzhe Qu; Yingxiong Song; Yingchun Li; Yanyi Wang

doi:10.3788/AOS250716

Acta Optica Sinica, Volume. 45, Issue 11, 1106003(2025)

A Low-Complexity Phase Estimation Method for Spatially Coherent Optical Communication Based on Piecewise Parabolic Interpolation

Longyao Xu, Zhengxuan Li^*, Hao Li, Yuanzhe Qu, Yingxiong Song, Yingchun Li, and Yanyi Wang

Author Affiliations

Key Laboratory of Special Optical Fiber and Optical Access Network, Shanghai University, Shanghai 200444, China

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Figures & Tables(9)

Fig. 1. Flow chart of P-BPS algorithm

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Fig. 2. Coarse estimation results of P-BPS algorithm. (a) Point a is the best phase value of coarse estimate; (b) point b is the best phase value of coarse estimate; (c) point c is the best phase value of coarse estimate; (d) point d is the best phase value of coarse estimate; (e) point e is the best phase value of coarse estimate

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Fig. 3. Coherent optical communication experiment system

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Fig. 4. Experimental results. (a) Results of changing the phase interval angle; (b) results of P-BPS and BPS with different N

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Fig. 5. Effect of number of phase test angles on EVM

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Fig. 6. Field experiment environment and system. (a) Geography of field experiments; (b) experimental system; (c) transmitter; (d) receiver

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Fig. 7. Received optical power. (a) Receiving optical power distribution; (b) statistical distribution of received optical power

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Fig. 8. Bit error rate curves of P-BPS and BPS with different test angles

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Table 1. Hardware complexity of various algorithms

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Table 1. Hardware complexity of various algorithms

Algorithm	Real multiplier	Real adder	Comparator	Decision
BPS	$6 N B + 4 N$	$6 N B - B + 2 N + 2$	$B$	$N B + N$
BPS/ML	$6 N_{1} B + 8 N_{2} + 1$	$6 N_{1} B - B + 6 N_{2}$	$B$	$N_{1} B + N_{2}$
Algorithm in Ref. ［19］	$6 N B + 4 N + 38 B - 22$	$6 N B + 26 B + 2 N - 13$	$2 B - 1$	$N B + N$
P-BPS	$7.12 / [16 (6 N B + 4 N)]$	$7.12 / [16 (6 N B - B + 2 N + 2)]$	$7.12 / (16 B)$	$7.12 / [16 (N B + N)]$

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Longyao Xu, Zhengxuan Li, Hao Li, Yuanzhe Qu, Yingxiong Song, Yingchun Li, Yanyi Wang. A Low-Complexity Phase Estimation Method for Spatially Coherent Optical Communication Based on Piecewise Parabolic Interpolation[J]. Acta Optica Sinica, 2025, 45(11): 1106003

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Paper Information

Category: Fiber Optics and Optical Communications

Received: Mar. 10, 2025

Accepted: Apr. 16, 2025

Published Online: Jun. 24, 2025

The Author Email: Zhengxuan Li (zhengxuanli@shu.edu.cn)

DOI:10.3788/AOS250716

CSTR:32393.14.AOS250716

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