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Information Journal Paper

Title

A New and Robust AMP Algorithm for Non IID Matrices Based on Bayesian Theory in Compressed Sensing

Pages

  15-28

Abstract

 AMP is a low-cost iterative algorithm for recovering signal in compressed sensing. When the sampling matrix has IID zero-mean Gaussian elements, the convergence of AMP is analytically guaranteed. But for other sampling matrices, especially ill-conditioned matrices, the recovery performance of AMP degrades and even may be diverged. This problem limits the use of AMP in some applications such as imaging. In this paper, a method is proposed for modifying the AMP algorithm based on Bayesian theory for non-IID matrices. Simulation results show better robustness properties of the proposed algorithm for non-IID matrices in comparison with previous works. In other words, the proposed method has more precision in recovery, and converges with less iterations.

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    APA: Copy

    Ansari Ram, F., KHADEMI, M., EBRAHIMI MOGHADDAM, A., & SADOGHI YAZDI, H.. (2020). A New and Robust AMP Algorithm for Non IID Matrices Based on Bayesian Theory in Compressed Sensing. NASHRIYYAH -I MUHANDISI -I BARQ VA MUHANDISI -I KAMPYUTAR -I IRAN, B- MUHANDISI -I KAMPYUTAR, 18(1 ), 15-28. SID. https://sid.ir/paper/228426/en

    Vancouver: Copy

    Ansari Ram F., KHADEMI M., EBRAHIMI MOGHADDAM A., SADOGHI YAZDI H.. A New and Robust AMP Algorithm for Non IID Matrices Based on Bayesian Theory in Compressed Sensing. NASHRIYYAH -I MUHANDISI -I BARQ VA MUHANDISI -I KAMPYUTAR -I IRAN, B- MUHANDISI -I KAMPYUTAR[Internet]. 2020;18(1 ):15-28. Available from: https://sid.ir/paper/228426/en

    IEEE: Copy

    F. Ansari Ram, M. KHADEMI, A. EBRAHIMI MOGHADDAM, and H. SADOGHI YAZDI, “A New and Robust AMP Algorithm for Non IID Matrices Based on Bayesian Theory in Compressed Sensing,” NASHRIYYAH -I MUHANDISI -I BARQ VA MUHANDISI -I KAMPYUTAR -I IRAN, B- MUHANDISI -I KAMPYUTAR, vol. 18, no. 1 , pp. 15–28, 2020, [Online]. Available: https://sid.ir/paper/228426/en

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