Vector approximate message passing soft frequency domain equalization for probabilistic constellation shaping

doi:10.7523/j.ucas.2022.010

Journal of University of Chinese Academy of Sciences ›› 2023, Vol. 40 ›› Issue (5): 694-700.DOI: 10.7523/j.ucas.2022.010

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Vector approximate message passing soft frequency domain equalization for probabilistic constellation shaping

WU Xisheng^1,2,3, WU Yanbo^1,3,4, ZHU Min^1,3,4, LI Dong¹, CHU Runcong^1,2,3

1. Ocean Acoustic Technology Laboratory, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China;
2. University of Chinese Academy of Sciences, Beijing 100049, China;
3. Beijing Engineering Technology Research Center of Ocean Acoustic Equipment, Beijing 100190, China;
4. State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China

Received:2021-10-11 Revised:2022-02-08 Online:2023-09-15

Abstract

Abstract: The convergence characteristic of the vector approximate message passing soft frequency-domain equalization algorithm is improved by the energy spreading transform at the transmitter. The output of the equalizer can be considered as free of inter-symbol interference. The relation between the output of the equalizer and the transmitted symbols can be modeled by an additive white Gaussian noise channel. Over the bandwidth-constrained additive white Gaussian noise channel, the uniform distribution modulation format has a gap to the Shannon limit. The gap can be closed by probabilistic constellation shaping. The a priori information of unequal probability symbols is used to improve the structure of the equalizer and enhance the performance at the receiver. Theoretical analysis and simulation results show that the proposed algorithm can substantially improve the convergence speed as well as the equalization performance over classical Proakis B and Proakis C multipath channels. There is about 0.5 dB performance gain compared with the uniform distribution signal.

Key words: probabilistic constellation shaping, energy spreading transform, vector approximate message passing, turbo equalization

CLC Number:

WU Xisheng, WU Yanbo, ZHU Min, LI Dong, CHU Runcong. Vector approximate message passing soft frequency domain equalization for probabilistic constellation shaping[J]. Journal of University of Chinese Academy of Sciences, 2023, 40(5): 694-700.

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Vector approximate message passing soft frequency domain equalization for probabilistic constellation shaping

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