The Study of Properties of n-D Analytic Signals and Their Spectra in Complex and Hypercomplex Domains

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dc.contributor.authorSnopek, Kajetana Marta
dc.coverage.issue1cs
dc.coverage.volume21cs
dc.date.accessioned2015-01-22T09:23:53Z
dc.date.available2015-01-22T09:23:53Z
dc.date.issued2012-04cs
dc.description.abstractIn the paper, two various representations of a n-dimensional (n-D) real signal u(x1,x2,…,xn) are investigated. The first one is the n-D complex analytic signal with a single-orthant spectrum defined by Hahn in 1992 as the extension of the 1-D Gabor’s analytic signal. It is compared with two hypercomplex approaches: the known n-D Clifford analytic signal and the Cayley-Dickson analytic signal defined by the Author in 2009. The signal-domain and frequency-domain definitions of these signals are presented and compared in 2-D and 3-D. Some new relations between the spectra in 2-D and 3-D hypercomplex domains are presented. The paper is illustrated with the example of a 2-D separable Cauchy pulse.en
dc.formattextcs
dc.format.extent29-36cs
dc.format.mimetypeapplication/pdfen
dc.identifier.citationRadioengineering. 2012, vol. 21, č. 1, s. 29-36. ISSN 1210-2512cs
dc.identifier.issn1210-2512
dc.identifier.urihttp://hdl.handle.net/11012/37009
dc.language.isoencs
dc.publisherSpolečnost pro radioelektronické inženýrstvícs
dc.relation.ispartofRadioengineeringcs
dc.relation.urihttp://www.radioeng.cz/fulltexts/2012/12_01_0029_0036.pdfcs
dc.rightsCreative Commons Attribution 3.0 Unported Licenseen
dc.rights.accessopenAccessen
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/en
dc.subjectAnalytic signalsen
dc.subjectCayley-Dickson algebraen
dc.subjectClifford algebraen
dc.subjectClifford Fourier transformen
dc.subjectQuaternion Fourier transformen
dc.subjectOctonion Fourier transformen
dc.titleThe Study of Properties of n-D Analytic Signals and Their Spectra in Complex and Hypercomplex Domainsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
eprints.affiliatedInstitution.facultyFakulta eletrotechniky a komunikačních technologiícs
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