Journal
JOURNAL OF LIGHTWAVE TECHNOLOGY
Volume 40, Issue 12, Pages 3688-3697Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/JLT.2022.3153321
Keywords
Partitioning algorithms; Modulation; Probabilistic logic; Phase shift keying; Signal to noise ratio; Approximation algorithms; Gain; Carrier phase recovery; coherent optical communications; four-dimensional; pilot aided; probabilistic shaping; set partitioning
Funding
- National Key R&D program of China [2020YFB1805805]
- National Natural Science Foundation of China (NSFC) [61875248, 62021005, 62027819]
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A new 4D-PS ultra-high order modulation format and PA-CPR algorithm are proposed to improve GMI performance. The feasibility of the scheme is demonstrated through simulations. The results show that the proposed 8APSK-PA-CPR algorithm outperforms QPSK-PA-CPR algorithm, with lower complexity and higher coding gain.
A new four-dimensional (4D) probabilistically shaped (PS) ultra-high order modulation format is proposed with pilot aided carrier phase recovery (PA-CPR) algorithm to improve the general mutual information (GMI) performance. While the structure of the 4D-PS ultra-high order modulation format uses constellation set partitioning (SP) based on amplitude translation, and the PA-CPR applies 8-level amplitude phase shift keying (8APSK) pilot. To demonstrate the feasibility of the scheme, the PS-1024QAM system is designed on the simulation platform. The results show that the proposed 8APSK-PA-CPR algorithm outperforms the QPSK-PA-CPR algorithm. The gain of the optimal 8APSK-PA-CPR is similar to 0.4 dB compared with the quadrature phase-shift keying (QPSK) PA-CPR algorithm. The steep drop of blind phase search (BPS) with different PS factors is overcome by 8APSK-PA-CPR when the signal-to-noise (SNR) ratio is lower than 24 dB. The maximum improvement of GMI is 1.3 bit/symbol when the SNR is higher than 26 dB and the complexity of the 8APSK-PA-CPR algorithm is reduced by 99.9% compared with the BPS algorithm. The gain obtained from the proposed 4D modulation scheme is similar to 2.8 dB under the condition of GMI = 17.7971 bit/symbol. It demonstrated that this scheme has a strong tolerance to noise, low computational complexity, and high coding gain. It is a feasible and flexible scheme for PS high-order modulation format transmission systems.
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