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Statistical mechanics approach to sparse noise denoising
KTH, School of Electrical Engineering (EES), Communication Theory. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre. Aalto University, Finland .
Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology.
KTH, School of Electrical Engineering (EES), Communication Theory. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0003-2638-6047
2013 (English)In: 2013 Proceedings of the 21st European Signal Processing Conference (EUSIPCO), IEEE , 2013, 6811435- p.Conference paper, Published paper (Refereed)
Abstract [en]

Reconstruction fidelity of sparse signals contaminated by sparse noise is considered. Statistical mechanics inspired tools are used to show that the l(1)-norm based convex optimization algorithm exhibits a phase transition between the possibility of perfect and imperfect reconstruction. Conditions characterizing this threshold are derived and the mean square error of the estimate is obtained for the case when perfect reconstruction is not possible. Detailed calculations are provided to expose the mathematical tools to a wide audience.

Place, publisher, year, edition, pages
IEEE , 2013. 6811435- p.
Series
European Signal Processing Conference, ISSN 2219-5491
Keyword [en]
replica method, sparse signals and noise, statistical mechanical analysis
National Category
Signal Processing
Identifiers
URN: urn:nbn:se:kth:diva-131418ISI: 000341754500049Scopus ID: 2-s2.0-84901366434ISBN: 978-099286260-2 (print)OAI: oai:DiVA.org:kth-131418DiVA: diva2:656065
Conference
2013 21st European Signal Processing Conference, EUSIPCO 2013; Marrakech; Morocco; 9 September 2013 through 13 September 2013
Funder
Swedish Research Council
Note

QC 20140625

Available from: 2013-10-14 Created: 2013-10-14 Last updated: 2014-10-21Bibliographically approved

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Chatterjee, Saikat

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
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  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
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  • Other locale
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Output format
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  • asciidoc
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