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Analysis-by-Synthesis Quantization for Compressed Sensing Measurements
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
2013 (English)In: IEEE Transactions on Signal Processing, ISSN 1053-587X, E-ISSN 1941-0476, Vol. 61, no 22, 5789-5800 p.Article in journal (Refereed) Published
Abstract [en]

We consider a resource-limited scenario where a sensor that uses compressed sensing (CS) collects a low number of measurements in order to observe a sparse signal, and the measurements are subsequently quantized at a low bit-rate followed by transmission or storage. For such a scenario, we design new algorithms for source coding with the objective of achieving good reconstruction performance of the sparse signal. Our approach is based on an analysis-by-synthesis principle at the encoder, consisting of two main steps: 1) the synthesis step uses a sparse signal reconstruction technique for measuring the direct effect of quantization of CS measurements on the final sparse signal reconstruction quality, and 2) the analysis step decides appropriate quantized values to maximize the final sparse signal reconstruction quality. Through simulations, we compare the performance of the proposed quantization algorithms vis-a-vis existing quantization schemes.

Place, publisher, year, edition, pages
IEEE Signal Processing Society, 2013. Vol. 61, no 22, 5789-5800 p.
Keyword [en]
Compressed sensing, sparsity, quantization, analysis-by-synthesis, optimization, mean square error
National Category
Telecommunications Signal Processing
Identifiers
URN: urn:nbn:se:kth:diva-133964DOI: 10.1109/TSP.2013.2280445ISI: 000326102300025Scopus ID: 2-s2.0-84887124505OAI: oai:DiVA.org:kth-133964DiVA: diva2:664439
Note

QC 20131115

Available from: 2013-11-15 Created: 2013-11-14 Last updated: 2017-12-06Bibliographically approved

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Chatterjee, SaikatSkoglund, Mikael

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