A new generalized projection and its application to acceleration of audio declipping

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dc.contributor.authorRajmic, Pavelcs
dc.contributor.authorZáviška, Pavelcs
dc.contributor.authorVeselý, Vítězslavcs
dc.contributor.authorMokrý, Ondřejcs
dc.coverage.issue3cs
dc.coverage.volume8cs
dc.date.accessioned2020-08-04T11:01:00Z
dc.date.available2020-08-04T11:01:00Z
dc.date.issued2019-09-19cs
dc.description.abstractIn convex optimization, it is often inevitable to work with projectors onto convex sets composed with a linear operator. Such a need arises from both the theory and applications, with signal processing being a prominent and broad field where convex optimization has been used recently. In this article, a novel projector is presented, which generalizes previous results in that it admits to work with a broader family of linear transforms when compared with the state of the art but, on the other hand, it is limited to box-type convex sets in the transformed domain. The new projector is described by an explicit formula, which makes it simple to implement and requires a low computational cost. The projector is interpreted within the framework of the so-called proximal splitting theory. The convenience of the new projector is demonstrated on an example from signal processing, where it was possible to speed up the convergence of a signal declipping algorithm by a factor of more than two.en
dc.formattextcs
dc.format.extent1-20cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationAxioms. 2019, vol. 8, issue 3, p. 1-20.en
dc.identifier.doi10.3390/axioms8030105cs
dc.identifier.issn2075-1680cs
dc.identifier.other158565cs
dc.identifier.urihttp://hdl.handle.net/11012/180691
dc.language.isoencs
dc.publisherMDPIcs
dc.relation.ispartofAxiomscs
dc.relation.urihttps://www.mdpi.com/2075-1680/8/3/105cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/2075-1680/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectprojectionen
dc.subjectoptimizationen
dc.subjectgeneralizationen
dc.subjectbox constraintsen
dc.subjectdeclippingen
dc.subjectdesaturationen
dc.subjectproximal splittingen
dc.subjectsparsityen
dc.titleA new generalized projection and its application to acceleration of audio declippingen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-158565en
sync.item.dbtypeVAVen
sync.item.insts2020.08.04 13:01:00en
sync.item.modts2020.08.04 12:20:21en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav telekomunikacícs
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematikycs
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