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Performance Bounds for Vector Quantized Compressive Sensing
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: 0000-0003-2638-6047
KTH, School of Electrical Engineering (EES), Communication Theory. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0002-7926-5081
2012 (English)In: 2012 International Symposium on Information Theory and Its Applications, ISITA 2012, IEICE , 2012, 289-293 p.Conference paper, Published paper (Refereed)
Abstract [en]

In this paper, we endeavor for predicting the performance of quantized compressive sensing under the use of sparse reconstruction estimators. We assume that a high rate vector quantizer is used to encode the noisy compressive sensing measurement vector. Exploiting a block sparse source model, we use Gaussian mixture density for modeling the distribution of the source. This allows us to formulate an optimal rate allocation problem for the vector quantizer. Considering noisy CS quantized measurements, we analyze upper- and lower-bounds on reconstruction error performance guarantee of two estimators - convex relaxation based basis pursuit de-noising estimator and an oracle-assisted least-squares estimator.

Place, publisher, year, edition, pages
IEICE , 2012. 289-293 p.
Keyword [en]
Estimation, Information theory, Relaxation processes
National Category
Telecommunications Signal Processing
Identifiers
URN: urn:nbn:se:kth:diva-103493ISI: 000320850700061Scopus ID: 2-s2.0-84873544340ISBN: 978-488552267-3 (print)OAI: oai:DiVA.org:kth-103493DiVA: diva2:560324
Conference
2012 International Symposium on Information Theory and Its Applications, ISITA 2012; Honolulu, HI; 28 October 2012 through 31 October 2012
Note

QC 20130118

Available from: 2012-10-12 Created: 2012-10-12 Last updated: 2014-06-03Bibliographically approved

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CiteExportLink to record
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