Application of block matrix theory to obtain the inverse transform of the vector-valued DFT

dc.creatorSoto-Quiros, Pablo
dc.date.accessioned2017-06-05T20:20:02Z
dc.date.available2017-06-05T20:20:02Z
dc.date.created2017-06-05T20:20:02Z
dc.date.issued2015
dc.identifierhttps://hdl.handle.net/2238/7191
dc.description.abstractWe study the vector-valued discrete Fourier transform (vector-valued DFT) and its inverse transform, the vector-valued DFT inversion, through its block matrix representation. These transforms are defined for N- periodic signals, taking values in CD. The vector-valued DFT is a gen- eralization of classical discrete Fourier transform definition. The goal of this paper is present necessary and sufficient new conditions to vector- valued DFT inversion, and so, to make a perfect recovery of original signal.
dc.languageeng
dc.publisherHikari Ltd.
dc.rightshttps://creativecommons.org/licenses/by-nc/3.0/cr/
dc.rightsAttribution-NonCommercial 3.0 Costa Rica
dc.sourceApplied Mathematical Sciences, Vol. 9, 2015, no. 52, 2567 - 2577
dc.subjectVectores
dc.subjectNúmero de Fourier
dc.subjectTransformaciones de fourier
dc.subjectTransformada rápida de fourier
dc.subjectResearch Subject Categories::MATHEMATICS::Applied mathematics
dc.titleApplication of block matrix theory to obtain the inverse transform of the vector-valued DFT
dc.typeinfo:eu-repo/semantics/article


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