In this paper, we present a non-convex ?2/?q(0q1)-analysis method to recover a general signal that can be expressed as a block-sparse coefficient vector in a coherent tight frame, and a sufficient condition is simultaneously established to guarantee the validity of the proposed method. In addition, we also derive an efficient iterative re-weighted least square (IRLS) algorithm to solve the induced non-convex optimization problem. The proposed IRLS algorithm is tested and compared with the ?2/?1-analysis and the ?q(0q≤1)-analysis methods in some experiments. All the comparisons demonstrate the superior performance of the ?2/?q-analysis method with 0q1.
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