Matches in SemOpenAlex for { <https://semopenalex.org/work/W1649597912> ?p ?o ?g. }
- W1649597912 abstract "In this paper, we completely solve the matrix extension problem with symmetry and provide a step-by-step algorithm to construct such a desired matrix $mathsf{P}_e$ from a given matrix $mathsf{P}$. Furthermore, using a cascade structure, we obtain a complete representation of any $rtimes s$ paraunitary matrix $mathsf{P}$ having compatible symmetry, which in turn leads to an algorithm for deriving a desired matrix $mathsf{P}_e$ from a given matrix $mathsf{P}$. Matrix extension plays an important role in many areas such as electronic engineering, system sciences, applied mathematics, and pure mathematics. As an application of our general results on matrix extension with symmetry, we obtain a satisfactory algorithm for constructing symmetric paraunitary filter banks and symmetric orthonormal multiwavelets by deriving high-pass filters with symmetry from any given low-pass filters with symmetry. Several examples are provided to illustrate the proposed algorithms and results in this paper." @default.
- W1649597912 created "2016-06-24" @default.
- W1649597912 creator A5009356160 @default.
- W1649597912 creator A5073172471 @default.
- W1649597912 date "2010-01-07" @default.
- W1649597912 modified "2023-09-27" @default.
- W1649597912 title "Matrix Extension with Symmetry and Its Application to Filter Banks" @default.
- W1649597912 cites W130877976 @default.
- W1649597912 cites W1481646516 @default.
- W1649597912 cites W1977291077 @default.
- W1649597912 cites W1997381877 @default.
- W1649597912 cites W2014926578 @default.
- W1649597912 cites W2015784222 @default.
- W1649597912 cites W2029204039 @default.
- W1649597912 cites W2038823760 @default.
- W1649597912 cites W2048247182 @default.
- W1649597912 cites W2056166036 @default.
- W1649597912 cites W2062024414 @default.
- W1649597912 cites W2062180582 @default.
- W1649597912 cites W2065914862 @default.
- W1649597912 cites W2071194782 @default.
- W1649597912 cites W2071408901 @default.
- W1649597912 cites W2071665809 @default.
- W1649597912 cites W2082415706 @default.
- W1649597912 cites W2083089209 @default.
- W1649597912 cites W2088728841 @default.
- W1649597912 cites W76406933 @default.
- W1649597912 hasPublicationYear "2010" @default.
- W1649597912 type Work @default.
- W1649597912 sameAs 1649597912 @default.
- W1649597912 citedByCount "1" @default.
- W1649597912 crossrefType "posted-content" @default.
- W1649597912 hasAuthorship W1649597912A5009356160 @default.
- W1649597912 hasAuthorship W1649597912A5073172471 @default.
- W1649597912 hasConcept C106487976 @default.
- W1649597912 hasConcept C11413529 @default.
- W1649597912 hasConcept C121332964 @default.
- W1649597912 hasConcept C136119220 @default.
- W1649597912 hasConcept C158693339 @default.
- W1649597912 hasConcept C159985019 @default.
- W1649597912 hasConcept C17744445 @default.
- W1649597912 hasConcept C187064257 @default.
- W1649597912 hasConcept C192562407 @default.
- W1649597912 hasConcept C199360897 @default.
- W1649597912 hasConcept C199539241 @default.
- W1649597912 hasConcept C202444582 @default.
- W1649597912 hasConcept C2524010 @default.
- W1649597912 hasConcept C2776359362 @default.
- W1649597912 hasConcept C2778029271 @default.
- W1649597912 hasConcept C2779886137 @default.
- W1649597912 hasConcept C33923547 @default.
- W1649597912 hasConcept C41008148 @default.
- W1649597912 hasConcept C44292817 @default.
- W1649597912 hasConcept C54848796 @default.
- W1649597912 hasConcept C5806529 @default.
- W1649597912 hasConcept C62520636 @default.
- W1649597912 hasConcept C94625758 @default.
- W1649597912 hasConceptScore W1649597912C106487976 @default.
- W1649597912 hasConceptScore W1649597912C11413529 @default.
- W1649597912 hasConceptScore W1649597912C121332964 @default.
- W1649597912 hasConceptScore W1649597912C136119220 @default.
- W1649597912 hasConceptScore W1649597912C158693339 @default.
- W1649597912 hasConceptScore W1649597912C159985019 @default.
- W1649597912 hasConceptScore W1649597912C17744445 @default.
- W1649597912 hasConceptScore W1649597912C187064257 @default.
- W1649597912 hasConceptScore W1649597912C192562407 @default.
- W1649597912 hasConceptScore W1649597912C199360897 @default.
- W1649597912 hasConceptScore W1649597912C199539241 @default.
- W1649597912 hasConceptScore W1649597912C202444582 @default.
- W1649597912 hasConceptScore W1649597912C2524010 @default.
- W1649597912 hasConceptScore W1649597912C2776359362 @default.
- W1649597912 hasConceptScore W1649597912C2778029271 @default.
- W1649597912 hasConceptScore W1649597912C2779886137 @default.
- W1649597912 hasConceptScore W1649597912C33923547 @default.
- W1649597912 hasConceptScore W1649597912C41008148 @default.
- W1649597912 hasConceptScore W1649597912C44292817 @default.
- W1649597912 hasConceptScore W1649597912C54848796 @default.
- W1649597912 hasConceptScore W1649597912C5806529 @default.
- W1649597912 hasConceptScore W1649597912C62520636 @default.
- W1649597912 hasConceptScore W1649597912C94625758 @default.
- W1649597912 hasLocation W16495979121 @default.
- W1649597912 hasOpenAccess W1649597912 @default.
- W1649597912 hasPrimaryLocation W16495979121 @default.
- W1649597912 hasRelatedWork W1754616884 @default.
- W1649597912 hasRelatedWork W1967809501 @default.
- W1649597912 hasRelatedWork W2018259816 @default.
- W1649597912 hasRelatedWork W2041347701 @default.
- W1649597912 hasRelatedWork W2047296793 @default.
- W1649597912 hasRelatedWork W2113846342 @default.
- W1649597912 hasRelatedWork W2117673761 @default.
- W1649597912 hasRelatedWork W2118614089 @default.
- W1649597912 hasRelatedWork W2133744882 @default.
- W1649597912 hasRelatedWork W2145404165 @default.
- W1649597912 hasRelatedWork W2150123585 @default.
- W1649597912 hasRelatedWork W2161519096 @default.
- W1649597912 hasRelatedWork W2161562083 @default.
- W1649597912 hasRelatedWork W2272100836 @default.
- W1649597912 hasRelatedWork W2349775185 @default.
- W1649597912 hasRelatedWork W2533230876 @default.
- W1649597912 hasRelatedWork W2535123509 @default.