Compactly supported wavelets and representations of the Cuntz relations, II

Details Compactly supported wavelets and representations of the Cuntz relations, II Compactly supported wavelets and representations of the Cuntz relations, II

2000-06-14

arxiv.org/abs/math/0006100v1

Wavelet Applications in Signal and Image Processing VIII (San Diego, 2000) (A. Aldroubi, A.F. Laine, and M.A. Unser, eds.), Pr

Mathematics

Functional Analysis

10 or 11 pages, SPIE Technical Conference, Wavelet Applications in Signal and Image Processing VIII

Scientific paper

We show that compactly supported wavelets in L^2(R) of scale N may be
effectively parameterized with a finite set of spin vectors in C^N, and
conversely that every set of spin vectors corresponds to a wavelet. The
characterization is given in terms of irreducible representations of
orthogonality relations defined from multiresolution wavelet filters.

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