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An Achievable Measurement Rate-MSE Tradeoff in Compressive Sensing Through Partial Support Recovery
KTH, School of Electrical Engineering (EES), Communication Theory. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
KTH, School of Electrical Engineering (EES), Signal Processing. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
KTH, School of Electrical Engineering (EES), Communication Theory. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
KTH, School of Electrical Engineering (EES), Communication Theory. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0001-9307-484X
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2013 (English)In: 2013 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), New York: IEEE , 2013, 6426-6430 p.Conference paper, Published paper (Refereed)
Abstract [en]

For compressive sensing, we derive achievable performance guarantees for recovering partial support sets of sparse vectors. The guarantees are determined in terms of the fraction of signal power to be detected and the measurement rate, defined as a relation between the dimensions of the measurement matrix. Based on this result we derive a tradeoff between the measurement rate and the mean square error, and illustrate it by a numerical example.

Place, publisher, year, edition, pages
New York: IEEE , 2013. 6426-6430 p.
Series
IEEE International Conference on Acoustics, Speech and Signal Processing. Proceedings, ISSN 1520-6149
Keyword [en]
Compressive sensing, MSE, performance tradeoff, sparse signal, support recovery
National Category
Telecommunications
Identifiers
URN: urn:nbn:se:kth:diva-118942DOI: 10.1109/ICASSP.2013.6638903ISI: 000329611506118Scopus ID: 2-s2.0-84890453246ISBN: 978-1-4799-0356-6 (print)OAI: oai:DiVA.org:kth-118942DiVA: diva2:609163
Conference
International Conference on Acoustics, Speech, and Signal Processing (ICASSP), Vancouver, Canada, May 26 - 31, 2013
Funder
EU, FP7, Seventh Framework Programme, 257626
Note

QC 20130710

Available from: 2013-03-04 Created: 2013-03-04 Last updated: 2014-02-21Bibliographically approved

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fulltext(194 kB)111 downloads
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Blasco-Serrano, RicardoZachariah, DaveSundman, DennisThobaben, RagnarSkoglund, Mikael
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