Math @ Duke

Publications [#303203] of Robert Calderbank
Papers Published
 Chi, Y; Calderbank, R, Coherencebased performance guarantees of Orthogonal Matching Pursuit,
2012 50th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2012
(December, 2012),
pp. 20032009 [1209.6267v1], [doi]
(last updated on 2018/11/17)
Abstract: In this paper, we present coherencebased performance guarantees of Orthogonal Matching Pursuit (OMP) for both support recovery and signal reconstruction of sparse signals when the measurements are corrupted by noise. In particular, two variants of OMP either with known sparsity level or with a stopping rule are analyzed. It is shown that if the measurement matrix X CnÃ—psatisfies the strong coherence property, then with n O(k log p), OMP will recover a ksparse signal with high probability. In particular, the performance guarantees obtained here separate the properties required of the measurement matrix from the properties required of the signal, which depends critically on the minimum signal to noise ratio rather than the power profiles of the signal. We also provide performance guarantees for partial support recovery. Comparisons are given with other performance guarantees for OMP using worstcase analysis and the sorted one step thresholding algorithm. Â© 2012 IEEE.


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