Lifting factorization and design based on stationary wavelet transform

Jinli Meng, Quan Pan, Hongcai Zhang

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

The main advantage of the stationary wavelet transform is its translation invariance of the wavelet coefficients. In this paper, based on the polyphase representation of wavelet transform, a new structure is proposed to that the traditional stationary wavelet transform can be obtained with a finite number of alternating lifting and dual lifting steps starting from the Lazy wavelet, using the equivalent relation of position-swapping between up (down) sampler and filter. Moreover, one can increase the vanishing moments of stationary wavelet by designing proper (dual) lifting steps. It overcomes the drawback in former algorithm, which can only be used to design interpolating wavelets starting from odd-even splitting. Furthermore, we present that the lifting factorization asymptotically reduces the computational complexity of the standard algorithm by a factor two.

Original languageEnglish
Title of host publicationISCIT 2005 - International Symposium on Communications and Information Technologies 2005, Proceedings
Pages586-589
Number of pages4
DOIs
StatePublished - 2005
EventISCIT 2005 - International Symposium on Communications and Information Technologies 2005 - Beijing, China
Duration: 12 Oct 200514 Oct 2005

Publication series

NameISCIT 2005 - International Symposium on Communications and Information Technologies 2005, Proceedings
VolumeII

Conference

ConferenceISCIT 2005 - International Symposium on Communications and Information Technologies 2005
Country/TerritoryChina
CityBeijing
Period12/10/0514/10/05

Keywords

  • Lazy wavelet
  • Lifting scheme
  • Stationary wavelet transform
  • Translation-invariance

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