Projection-based wavelet denoising [lecture notes]

buir.contributor.authorÇetin, A. Enis
buir.contributor.orcidÇetin, A. Enis|0000-0002-3449-1958
dc.citation.epage124en_US
dc.citation.issueNumber5en_US
dc.citation.spage120en_US
dc.citation.volumeNumber32en_US
dc.contributor.authorÇetin, A. Enisen_US
dc.contributor.authorTofighi M.en_US
dc.date.accessioned2016-02-08T09:40:53Z
dc.date.available2016-02-08T09:40:53Z
dc.date.issued2015en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractIn this lecture note, we describe a wavelet domain denoising method consisting of making orthogonal projections of wavelet (subbands) signals of the noisy signal onto an upside down pyramid-shaped region in a multidimensional space. Each horizontal slice of the upside down pyramid is a diamond shaped region and it is called an -ball. The upside down pyramid is called the epigraph set of the -norm cost function. We show that the method leads to soft-thresholding as in standard wavelet denoising methods. Orthogonal projection operations automatically determine the soft-threshold values of the wavelet signals. © 2015 IEEE.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T09:40:53Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2015en
dc.identifier.doi10.1109/MSP.2015.2440051en_US
dc.identifier.issn1053-5888
dc.identifier.urihttp://hdl.handle.net/11693/21081
dc.language.isoEnglishen_US
dc.publisherInstitute of Electrical and Electronics Engineers Inc.en_US
dc.relation.isversionofhttp://dx.doi.org/10.1109/MSP.2015.2440051en_US
dc.source.titleIEEE Signal Processing Magazineen_US
dc.subjectCost functionsen_US
dc.subjectDenoising methodsen_US
dc.subjectHorizontal slicesen_US
dc.subjectMulti-dimensional spaceen_US
dc.subjectOrthogonal projectionen_US
dc.subjectSoft thresholden_US
dc.subjectSoft thresholdingen_US
dc.subjectWavelet denoisingen_US
dc.subjectWavelet denoising methoden_US
dc.subjectWavelet analysisen_US
dc.titleProjection-based wavelet denoising [lecture notes]en_US
dc.typeArticleen_US

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