Systems Engineering and Electronics ›› 2020, Vol. 42 ›› Issue (12): 2700-2707.doi: 10.3969/j.issn.1001-506X.2020.12.05

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1-Bit compressive sensing based on generalized pattern-coupled sparse Bayesian learning

Jingjing SI1,2(), Yanan HAN1(), Lei ZHANG1(), Yinbo CHENG3()   

  1. 1. School of Information Science and Engineering, Yanshan University, Qinhuangdao 066004, China
    2. Hebei Key Laboratory of Information Transmission and Signal Processing, Qinhuangdao 066004, China
    3. Ocean College, Hebei Agricultural University, Qinhuangdao 066003, China
  • Received:2019-10-11 Online:2020-12-01 Published:2020-11-27

Abstract:

Under the framework of 1-Bit compressive sensing (CS), the signal's sparsity structure prior is introduced into generalized sparse Bayesian learning (Gr-SBL), and the reconstruction of 1-Bit CS based on Gr-SBL is studed. The generalized linear models are combined with the pattern-coupled sparse Bayesian learning, and the 1-Bit CS reconstruction algorithm based on generalized pattern-coupled sparse Bayesian learning is proposed, which is shortened to 1-Bit Gr-PC-SBL algorithm. This algorithm iteratively reduces the 1-Bit CS reconstruction problem to a sequence of standard CS reconstruction problems, and realizes signal reconstruction based on pattern-coupled sparse Bayesian learning, while the signal's sparse patterns are entirely unknown. Furthermore, binary quantization with adaptive thresholds is introduced, and a 1-Bit Gr-PC-SBL algorithm with adaptive thresholds is proposed, which can further improve the reconstruction performance of the algorithm.

Key words: 1-Bit compressive sensing (CS), generalized sparse Bayesian learning (Gr-SBL), pattern-coupled, adaptive threshold

CLC Number: 

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