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Theorems relating polynomial approximation, orthogonality and balancing conditions for the design of nonseparable bidimensional multiwavelets

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2009) 5807 LNCS 54-65
DOI: 10.1007/978-3-642-04697-1_6
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Abstract

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.

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Ruedin, A. M. C. (2009). Theorems relating polynomial approximation, orthogonality and balancing conditions for the design of nonseparable bidimensional multiwavelets. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5807 LNCS, pp. 54–65). https://doi.org/10.1007/978-3-642-04697-1_6

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