Theoretical results for sparse signal recovery with noises using generalized OMP algorithm

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Bo Li, Yi Shen, Sreeraman Rajan, Thia Kirubarajan

Published: 01 Jan 2015, Last Modified: 15 May 2025Signal Process. 2015EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: Highlights•Sufficient conditions along with stopping rules for the gOMP algorithm are given in noisy compressive sensing.•The noises are two norm bounded, correlation bounded and Gaussian noises.•Whole or parts of the support can be recovered with the given conditions.•Effectiveness of each iteration of the gOMP algorithm is also considered.