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A Sparsity Preestimated Adaptive Matching Pursuit Algorithm

机译:稀疏预约自适应匹配追踪算法

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摘要

In the matching pursuit algorithm of compressed sensing, the traditional reconstruction algorithm needs to know the signal sparsity. The sparsity adaptive matching pursuit (SAMP) algorithm can adaptively approach the signal sparsity when the sparsity is unknown. However, the SAMP algorithm starts from zero and iterates several times with a fixed step size to approximate the true sparsity, which increases the runtime. To increase the run speed, a sparsity preestimated adaptive matching pursuit (SPAMP) algorithm is proposed in this paper. Firstly, the sparsity preestimated strategy is used to estimate the sparsity, and then the signal is reconstructed by the SAMP algorithm with the preestimated sparsity as the iterative initial value. The method reconstructs the signal from the preestimated sparsity, which reduces the number of iterations and greatly speeds up the run efficiency.
机译:在匹配的压缩感应追踪算法中,传统的重建算法需要了解信号稀疏性。当稀疏性未知时,稀疏自适应匹配追踪(SAMP)算法可以自适应地接近信号稀疏性。但是,SAMP算法从零开始,使用固定的步长迭代,以近似于增加运行时的真实稀疏性。为了提高运行速度,本文提出了一种稀疏预约自适应匹配追求(SPAMP)算法。首先,使用稀疏性预约策略来估计稀疏性,然后通过沉积的稀疏性来重建信号作为迭代初始值来重建信号。该方法从预先定义的稀疏性重建信号,从而减少了迭代的数量并大大加速了运行效率。

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