New block orthogonal matching pursuit algorithm using mutual alternating projection method
基于互交替投影的块稀疏正交匹配追踪算法

As to block sparse signals, both theoretical analysis and experimental verification showed that sufficient condition for precise reconstruction is both block-coherence and sub-coherence of dictionary must be very small. This paper introduced a new block orthogonal matching pursuit algorithm using mutual alternating projection method MAP-BOMP. By exploiting the mutual alternating projection, the algorithm proposed to design the new measurement dictionary and sensing dictionary constantly for reducing the block-coherence and sub-coherence. The algorithm also gave the specific convergence conditions to reduce the complexity. Simulation results demonstrate this algorithm can provide more significant improvement for the recovery performance and speed than other existing algorithm.