利用正交匹配追踪恢复稀疏信号的一个新结果

IF 0.7 Q3 STATISTICS & PROBABILITY Statistical Theory and Related Fields Pub Date : 2022-03-13 DOI:10.1080/24754269.2022.2048445

Xueping Chen, Jianzhong Liu, Jiandong Chen

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引用次数: 1

摘要

正交匹配追踪(OMP)算法是一种经典的贪婪算法，广泛应用于压缩感知领域。本文利用Wielandt不等式和正交投影矩阵的一些性质，得到了OMP算法精确恢复稀疏信号所需的新的迭代次数，在我们所知的最新结果的基础上有了很大的改进。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A new result on recovery sparse signals using orthogonal matching pursuit

Orthogonal matching pursuit (OMP) algorithm is a classical greedy algorithm widely used in compressed sensing. In this paper, by exploiting the Wielandt inequality and some properties of orthogonal projection matrix, we obtained a new number of iterations required for the OMP algorithm to perform exact recovery of sparse signals, which improves significantly upon the latest results as we know.

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