Mean size of wavelet packets

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

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Author(s)

  • Morten Nielsen
  • Ding-Xuan Zhou

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)22-34
Journal / PublicationApplied and Computational Harmonic Analysis
Volume13
Issue number1
Publication statusPublished - Jul 2002

Link(s)

DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-0038511892&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(37c44674-c7c0-463a-a0be-36e56db55717).html

Abstract

We study the mean size of wavelet packets in Lp. An exact formula for the mean size is given in terms of the p-norm joint spectral radius. This will be a corollary of an asymptotic formula for the Lp norms on the subdivision trees. Then the stability and Schauder basis property of wavelet packets in Lp, and the instability of biorthogonal wavelet packets in L2 are analyzed. © 2002 Elsevier Science (USA). All rights reserved.

Research Area(s)

  • Joint spectral radius, Schauder basis, Stability, Subdivision sequence, Subdivision tree, Wavelet packets

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Publication fingerprints text

100
Wavelet packet Mathematics
29
Joint spectral radi... Mathematics
27
Schauder basis Mathematics
26
Biorthogonal wavele... Mathematics
26
Norm Mathematics
20
Subdivision Mathematics
19
Asymptotic formula Mathematics
16
Corollary Mathematics
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Citation Format(s)

[ RIS ] [ BibTeX ]
Mean size of wavelet packets. / Nielsen, Morten; Zhou, Ding-Xuan.
In: Applied and Computational Harmonic Analysis, Vol. 13, No. 1, 07.2002, p. 22-34.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review