联合稀疏多测量向量恢复的MMV子空间追踪算法

Sujuan Liu, Lili Zheng, Lei Liu, Qianjin Lin
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引用次数: 0

摘要

针对联合稀疏多测量向量(MMV)问题,提出了MMV子空间追踪(M-SP)算法。由于M-SP采用了预选和回溯机制,因此M-SP不仅具有比现有算法更高的恢复性能,而且显著减少了迭代次数,提高了信号恢复效率。仿真结果表明,M-SP与同步压缩采样匹配追踪(SCoSaMP)具有几乎相同的恢复性能和迭代次数,但M-SP显著降低了每次迭代的计算复杂度。例如,当稀疏度$K$为5时,每次迭代M-SP的计算复杂度为SCoSaMP的24.0%。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
MMV Subspace Pursuit (M-SP) Algorithm for Joint Sparse Multiple Measurement Vectors Recovery
In this paper, MMV Subspace Pursuit (M-SP) algorithm is proposed for solving joint sparse multiple measurement vectors (MMV) problem. The pre-selection and backtracking mechanisms are used in M-SP, so M-SP not only has higher recovery performance than some existing algorithms, but also significantly reduces the iteration number for improving the signal recovery efficiency. Simulations results show that M-SP and Simultaneous Compressive Sampling Matching Pursuit (SCoSaMP) have almost identical recovery performance and iteration times, but M-SP significantly reduces the computation complexity in per iteration. For example, when sparsity $K$ is 5, the computational complexity of M-SP is 24.0% of that of SCoSaMP in each iteration.
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