Document Zbl 0770.41022

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Nonorthogonal wavelet packets. (English) Zbl 0770.41022

SIAM J. Math. Anal. 24, No. 3, 712-738 (1993).

Summary: The notion of orthonormal wavelet packets introduced by Coifman and Meyer is generalized to the nonorthogonal setting in order to include compactly supported and symmetric basis functions. In particular, dual (or biorthogonal) wavelet packets are investigated and a stability result is established. Algorithms for implementations are also developed.

Cited in 29 Documents

MSC:

41A58	Series expansions (e.g., Taylor, Lidstone series, but not Fourier series)
42C30	Completeness of sets of functions in nontrigonometric harmonic analysis

Keywords:

orthonormal wavelet packets; symmetric basis functions

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