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Cohen, Albert; Daubechies, Ingrid

A stability criterion for biorthogonal wavelet bases and their related subband coding scheme. (English) Zbl 0784.42022

Duke Math. J. 68, No. 2, 313-335 (1992).
It is shown that in the consideration of bi-orthogonal (and non- orthogonal) wavelets, a pair of dual filters does not necessarily lead to a pair of stable bi-orthogonal wavelet bases. The objective of this paper is to derive a stability criterion in terms of the action under a so- called transition operator and its dual. The criterion is that the spectra of both operators lie inside the unit circle.
Reviewer: C.K.Chui (College Station)

Cited in 1 Review
Cited in 49 Documents

MSC:

42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems

Keywords:

dual filters; bi-orthogonal wavelet bases; stability criterion
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References:

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