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The belief propagation (BP) algorithm under the Bayesian framework can accelerate Compressed Sensing (CS) encoding and decoding by using the sparse encoder matrix. To improve the reconstruction performance we consider a backtracking-based belief propagation algorithm (CS-BBP) for the sparse signal reconstruction. The backtracking is added after performing BP and minimum mean square error (MMSE) estimate...
In this paper, the major contribution is to combine Bayesian inference with iterative support detection (ISD) to solve noisy compressive sensing, which can be called Bayesian compressive sensing via iterative support detection (BCS_ISD). The method consists of two main parts: signal value estimation and signal support detection. ISD estimates a support set S from a current reconstruction and obtains...
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