Matches in SemOpenAlex for { <https://semopenalex.org/work/W2156848867> ?p ?o ?g. }
- W2156848867 endingPage "1930" @default.
- W2156848867 startingPage "1918" @default.
- W2156848867 abstract "This paper deals with multiwavelets and the different properties of approximation and smoothness associated with them. In particular, we focus on the important issue of the preservation of discrete-time polynomial signals by multifilterbanks. We introduce and detail the property of balancing for higher degree discrete-time polynomial signals and link it to a very natural factorization of the refinement mask of the lowpass synthesis multifilter. This factorization turns out to be the counterpart for multiwavelets of the well-known zeros at /spl pi/ condition in the usual (scalar) wavelet framework. The property of balancing also proves to be central to the different issues of the preservation of smooth signals by multifilterbanks, the approximation power of finitely generated multiresolution analyses, and the smoothness of the multiscaling functions and multiwavelets. Using these new results, we describe the construction of a family of orthogonal multiwavelets with symmetries and compact support that is indexed by increasing order of balancing. In addition, we also detail, for any given balancing order, the orthogonal multiwavelets with minimum-length multifilters." @default.
- W2156848867 created "2016-06-24" @default.
- W2156848867 creator A5049415924 @default.
- W2156848867 creator A5078442712 @default.
- W2156848867 date "2001-01-01" @default.
- W2156848867 modified "2023-10-03" @default.
- W2156848867 title "High-order balanced multiwavelets: theory, factorization, and design" @default.
- W2156848867 cites W1885724226 @default.
- W2156848867 cites W1964715865 @default.
- W2156848867 cites W1979032637 @default.
- W2156848867 cites W1982910717 @default.
- W2156848867 cites W1995068417 @default.
- W2156848867 cites W2004766860 @default.
- W2156848867 cites W2006434287 @default.
- W2156848867 cites W2022270785 @default.
- W2156848867 cites W2032753235 @default.
- W2156848867 cites W2036959719 @default.
- W2156848867 cites W2056166036 @default.
- W2156848867 cites W2079186636 @default.
- W2156848867 cites W2083089209 @default.
- W2156848867 cites W2104155923 @default.
- W2156848867 cites W2109411320 @default.
- W2156848867 cites W2110733303 @default.
- W2156848867 cites W2116124511 @default.
- W2156848867 cites W2123218398 @default.
- W2156848867 cites W2126323701 @default.
- W2156848867 cites W2128687423 @default.
- W2156848867 cites W2140797396 @default.
- W2156848867 cites W2143294992 @default.
- W2156848867 cites W2143601630 @default.
- W2156848867 cites W2158821445 @default.
- W2156848867 cites W2159579975 @default.
- W2156848867 cites W2161079910 @default.
- W2156848867 cites W2169035906 @default.
- W2156848867 cites W2498647973 @default.
- W2156848867 cites W4214526845 @default.
- W2156848867 cites W4255272544 @default.
- W2156848867 cites W4297562995 @default.
- W2156848867 doi "https://doi.org/10.1109/78.942621" @default.
- W2156848867 hasPublicationYear "2001" @default.
- W2156848867 type Work @default.
- W2156848867 sameAs 2156848867 @default.
- W2156848867 citedByCount "94" @default.
- W2156848867 countsByYear W21568488672012 @default.
- W2156848867 countsByYear W21568488672013 @default.
- W2156848867 countsByYear W21568488672014 @default.
- W2156848867 countsByYear W21568488672015 @default.
- W2156848867 countsByYear W21568488672016 @default.
- W2156848867 countsByYear W21568488672017 @default.
- W2156848867 countsByYear W21568488672019 @default.
- W2156848867 countsByYear W21568488672021 @default.
- W2156848867 countsByYear W21568488672022 @default.
- W2156848867 countsByYear W21568488672023 @default.
- W2156848867 crossrefType "journal-article" @default.
- W2156848867 hasAuthorship W2156848867A5049415924 @default.
- W2156848867 hasAuthorship W2156848867A5078442712 @default.
- W2156848867 hasBestOaLocation W21568488672 @default.
- W2156848867 hasConcept C102634674 @default.
- W2156848867 hasConcept C11413529 @default.
- W2156848867 hasConcept C118615104 @default.
- W2156848867 hasConcept C121927907 @default.
- W2156848867 hasConcept C126255220 @default.
- W2156848867 hasConcept C134306372 @default.
- W2156848867 hasConcept C154945302 @default.
- W2156848867 hasConcept C187834632 @default.
- W2156848867 hasConcept C196216189 @default.
- W2156848867 hasConcept C2524010 @default.
- W2156848867 hasConcept C28826006 @default.
- W2156848867 hasConcept C33923547 @default.
- W2156848867 hasConcept C35958075 @default.
- W2156848867 hasConcept C41008148 @default.
- W2156848867 hasConcept C43929395 @default.
- W2156848867 hasConcept C46286280 @default.
- W2156848867 hasConcept C47432892 @default.
- W2156848867 hasConcept C57691317 @default.
- W2156848867 hasConcept C90119067 @default.
- W2156848867 hasConceptScore W2156848867C102634674 @default.
- W2156848867 hasConceptScore W2156848867C11413529 @default.
- W2156848867 hasConceptScore W2156848867C118615104 @default.
- W2156848867 hasConceptScore W2156848867C121927907 @default.
- W2156848867 hasConceptScore W2156848867C126255220 @default.
- W2156848867 hasConceptScore W2156848867C134306372 @default.
- W2156848867 hasConceptScore W2156848867C154945302 @default.
- W2156848867 hasConceptScore W2156848867C187834632 @default.
- W2156848867 hasConceptScore W2156848867C196216189 @default.
- W2156848867 hasConceptScore W2156848867C2524010 @default.
- W2156848867 hasConceptScore W2156848867C28826006 @default.
- W2156848867 hasConceptScore W2156848867C33923547 @default.
- W2156848867 hasConceptScore W2156848867C35958075 @default.
- W2156848867 hasConceptScore W2156848867C41008148 @default.
- W2156848867 hasConceptScore W2156848867C43929395 @default.
- W2156848867 hasConceptScore W2156848867C46286280 @default.
- W2156848867 hasConceptScore W2156848867C47432892 @default.
- W2156848867 hasConceptScore W2156848867C57691317 @default.
- W2156848867 hasConceptScore W2156848867C90119067 @default.
- W2156848867 hasIssue "9" @default.
- W2156848867 hasLocation W21568488671 @default.
- W2156848867 hasLocation W21568488672 @default.