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Problemy Peredachi Informatsii, 2002, Volume 38, Issue 1, Pages 75–91
(Mi ppi1302)
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This article is cited in 8 scientific papers (total in 8 papers)
Methods of Signal Processing
Reconstruction of Sparse Vectors in White Gaussian Noise
G. K. Golubev
Abstract:
We consider the problem of reconstruction of a sparse vector observed against a background of white Gaussian noise. The sparsity is assumed to be unknown. Two approaches to statistical estimation in this case are discussed, namely, the model selection method and threshold estimators. We propose a method of selecting a threshold estimator based on the principle of empirical complexity minimization with minimal conservative penalization.
Received: 05.02.2001
Citation:
G. K. Golubev, “Reconstruction of Sparse Vectors in White Gaussian Noise”, Probl. Peredachi Inf., 38:1 (2002), 75–91; Problems Inform. Transmission, 38:1 (2002), 65–80
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https://www.mathnet.ru/eng/ppi1302 https://www.mathnet.ru/eng/ppi/v38/i1/p75
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Abstract page: | 299 | Full-text PDF : | 130 | References: | 45 |
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