Theorems relating polynomial approximation, orthogonality and balancing conditions for the design of nonseparable bidimensional multiwavelets
We relate different properties of nonseparable quincunx multiwavelet systems, such as polynomial approximation order, orthonormality and balancing, to conditions on the matrix filters. We give mathematical proofs for these relationships. The results obtained are necessary conditions on the filterban...
Guardado en:
| Autor principal: | |
|---|---|
| Publicado: |
2009
|
| Materias: | |
| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03029743_v5807LNCS_n_p54_Ruedin http://hdl.handle.net/20.500.12110/paper_03029743_v5807LNCS_n_p54_Ruedin |
| Aporte de: |
| Sumario: | We relate different properties of nonseparable quincunx multiwavelet systems, such as polynomial approximation order, orthonormality and balancing, to conditions on the matrix filters. We give mathematical proofs for these relationships. The results obtained are necessary conditions on the filterbank. This simplifies the design of such systems. © 2009 Springer Berlin Heidelberg. |
|---|