Journal article
Construction of Parseval wavelets from redundant filter systems
Journal of mathematical physics, Vol.46(8), pp.083502-083502-28
2005
DOI: 10.1063/1.1982768
Abstract
We consider wavelets in L 2 ( R d ) which have generalized multiresolutions. This means that the initial resolution subspace V 0 in L 2 ( R d ) is not singly generated. As a result, the representation of the integer lattice Z d restricted to V 0 has a nontrivial multiplicity function. We show how the corresponding analysis and synthesis for these wavelets can be understood in terms of unitary-matrix-valued functions on a torus acting on a certain vector bundle. Specifically, we show how the wavelet functions on R d can be constructed directly from the generalized wavelet filters.
Details
- Title: Subtitle
- Construction of Parseval wavelets from redundant filter systems
- Creators
- L. W BaggettP. E.T JorgensenK. D MerrillJ. A Packer
- Resource Type
- Journal article
- Publication Details
- Journal of mathematical physics, Vol.46(8), pp.083502-083502-28
- DOI
- 10.1063/1.1982768
- ISSN
- 0022-2488
- eISSN
- 1089-7658
- Language
- English
- Date published
- 2005
- Academic Unit
- Mathematics
- Record Identifier
- 9983985936002771
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