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This letter deals with the signal declipping algorithm based on the matrix rank minimization approach, which can be applied to the signal restoration in linear systems. We focus on the null space of a low-rank matrix and provide a block adaptive algorithm of the matrix rank minimization approach to signal declipping based on the null space alternating optimization (NSAO) algorithm. Numerical examples show that the proposed algorithm is faster and has better performance than other algorithms. key words: matrix rank minimization, signal declipping, signal restoration, block algorithm

Block Adaptive Algorithm for Signal Declipping Based on Null Space Alternating Optimization