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Perturbed Orthogonal Matching Pursuit

2013, IEEE Transactions on Signal Processing

Abstract
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This paper introduces a novel algorithm called Perturbed Orthogonal Matching Pursuit (POMP) to address the mismatch between assumed and actual bases in compressive sensing. The algorithm applies controlled perturbation of selected support vectors to minimize the orthogonal residual during signal reconstruction. Through mathematical analysis and simulation results, POMP demonstrates significantly improved reconstruction accuracy compared to traditional sparse reconstruction methods, particularly in scenarios where the basis is perturbed.