Bayesian Hypothesis Testing for Block Sparse Signal Recovery

A novel block Bayesian hypothesis testing algorithm (BBHTA) is presented for reconstructing block-sparse signals with unknown block structures. The BBHTA detects and recovers the supports and then estimates the amplitudes of block sparse signal. The support detection and recovery are performed by a Bayesian hypothesis testing. Using the detected and reconstructed supports, the nonzero amplitudes are then estimated by linear minimum mean-square error estimation. Numerical experiments demonstrate the effectiveness of BBHTA.