DOA Estimation of Multi-Reflected Known Signals in Compact Arrays

Emadi, Mohammad Javad; Sadeghi, Khosrow Haj

doi:10.1109/taes.2013.6558028

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Cited by 4 publications

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A Performance Guarantee for Orthogonal Matching Pursuit Using Mutual Coherence

Emadi

Miandji

Unger

2017

Circuits Syst Signal Process

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In this paper we present a new performance guarantee for the Orthogonal Matching Pursuit (OMP) algorithm. We use mutual coherence as a metric for determining the suitability of an arbitrary overcomplete dictionary for exact recovery. Specifically, a lower bound for the probability of correctly identifying the support of a sparse signal with additive white Gaussian noise and an upper bound for the mean square error is derived. Compared to previous work, the new bound takes into account the signal parameters such as dynamic range, noise variance, and sparsity. Numerical simulations show significant improvements over previous work and a much closer correlation to empirical results of OMP.

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