Wavelet-Based Compressive Sensing for Point Scatterers

dc.contributor.authorWilsenach, Gregory
dc.contributor.authorMishra, Amit Kumar
dc.coverage.issue2cs
dc.coverage.volume24cs
dc.date.accessioned2015-06-29T13:04:52Z
dc.date.available2015-06-29T13:04:52Z
dc.date.issued2015-06cs
dc.description.abstractCompressive Sensing (CS) allows for the sam-pling of signals at well below the Nyquist rate but does so, usually, at the cost of the suppression of lower amplitude sig-nal components. Recent work suggests that important infor-mation essential for recognizing targets in the radar context is contained in the side-lobes as well, which are often sup-pressed by CS. In this paper we extend existing techniques and introduce new techniques both for improving the accu-racy of CS reconstructions and for improving the separa-bility of scenes reconstructed using CS. We investigate the Discrete Wavelet Transform (DWT), and show how the use of the DWT as a representation basis may improve the accu-racy of reconstruction generally. Moreover, we introduce the concept of using multiple wavelet-based reconstructions of a scene, given only a single physical observation, to derive re-constructions that surpass even the best wavelet-based CS reconstructions. Lastly, we specifically consider the effect of the wavelet-based reconstruction on classification. This is done indirectly by comparing outputs of different algo-rithms using a variety of separability measures. We show that various wavelet-based CS reconstructions are substan-tially better than conventional CS approaches at inducing (or preserving) separability, and hence may be more useful in classification applications.en
dc.formattextcs
dc.format.extent621-631cs
dc.format.mimetypeapplication/pdfen
dc.identifier.citationRadioengineering. 2015 vol. 24, č. 2, s. 621-631. ISSN 1210-2512cs
dc.identifier.doi10.13164/re.2015.0621en
dc.identifier.issn1210-2512
dc.identifier.urihttp://hdl.handle.net/11012/41865
dc.language.isoencs
dc.publisherSpolečnost pro radioelektronické inženýrstvícs
dc.relation.ispartofRadioengineeringcs
dc.relation.urihttp://www.radioeng.cz/fulltexts/2015/15_02_0621_0631.pdfcs
dc.rightsCreative Commons Attribution 3.0 Unported Licenseen
dc.rights.accessopenAccessen
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/en
dc.subjectCompressive sensingen
dc.subjectwaveleten
dc.subjectradaren
dc.subjectreconstructionen
dc.subjectsparse scenesen
dc.subjectfilteringen
dc.subjectpoint scatterersen
dc.titleWavelet-Based Compressive Sensing for Point Scatterersen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
eprints.affiliatedInstitution.facultyFakulta eletrotechniky a komunikačních technologiícs
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