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Matematicheskie Zametki, 2007, Volume 82, Issue 6, Pages 829–837
DOI: https://doi.org/10.4213/mzm4183 (Mi mzm4183) 		 
This article is cited in 74 scientific papers (total in 74 papers)

A Remark on Compressed Sensing

B. S. Kashina, V. N. Temlyakovb

a Steklov Mathematical Institute, Russian Academy of Sciences
b University of South Carolina
Full-text PDF (501 kB) Citations (74)
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DOI: https://doi.org/10.4213/mzm4183
Abstract: Recently, a new direction in signal processing – “Compressed Sensing” is being actively developed. A number of authors have pointed out a connection between the Compressed Sensing problem and the problem of estimating the Kolmogorov widths, studied in the seventies and eighties of the last century. In this paper we make the above mentioned connection more precise.
Keywords: compressed sensing, signal processing, Kolmogorov width, Gelfand width, sparsity, restricted isometry property, combinatorial optimization problem.
Received: 15.08.2007
English version:
Mathematical Notes, 2007, Volume 82, Issue 6, Pages 748–755
DOI: https://doi.org/10.1134/S0001434607110193
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: B. S. Kashin, V. N. Temlyakov, “A Remark on Compressed Sensing”, Mat. Zametki, 82:6 (2007), 829–837; Math. Notes, 82:6 (2007), 748–755
Citation in format AMSBIB
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    • This publication is cited in the following 74 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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