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dc.contributor.authorStanković, Radomiren
dc.contributor.authorStanković, Milenaen
dc.contributor.authorMoraga, Claudioen
dc.date.accessioned2020-05-01T20:29:14Z-
dc.date.available2020-05-01T20:29:14Z-
dc.date.issued2005-01-01en
dc.identifier.issn1542-3980en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/2096-
dc.description.abstractIn spectral interpretation, decision diagrams (DDs) are defined in terms of some spectral transforms. For a given DD, the related transform is determined by an analysis of expansion rules used in the nodes and the related labels of edges. The converse task, design of a DD in terms of a given spectral transform is relatively easy to solve for Kronecker product representable spectral transforms. However, in other cases, it appears a problem of decomposition of basic functions in spectral transform to determine the corresponding expansion rules and labels at the edges. We point out that this problem relates to the assignment of nodes in Pseudo-Kronecker DDs (PKDDs). Then, we show that in the case of Haar transform, the expansion rules and assignment of nodes in Haar Spectral transform DDs (HSTDDs) can be determined from a study and comparison of FFT and DD methods for calculation of the Haar spectrum. This consideration permits to generalize the definition of HSTDDs to multiple-valued (MV) functions considered as functions in finite fields or as subsets of complex-valued functions. Conversely, from such defined HSTDDs, we derive various Haar transforms for MV functions related to Fourier series and polynomial expressions for MV functions.en
dc.publisherOld City Publishing-
dc.relation.ispartofJournal of Multiple-Valued Logic and Soft Computingen
dc.titleHaar wavelet transforms and haar spectral transform decision diagrams for switching and multiple-valued functionsen
dc.typeArticleen
dc.identifier.scopus2-s2.0-15744375330en
dc.relation.firstpage67en
dc.relation.lastpage94en
dc.relation.issue1-2en
dc.relation.volume11en
item.cerifentitytypePublications-
item.grantfulltextnone-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextNo Fulltext-
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