On the realization of generalized discrete multiwavelet transforms

Chun Yat Ma, Pak Kong Lun, Tai Chiu Hsung

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

Abstract

One of the major problems of the discrete multiwavelet transform is its high computational complexity. It stems from the use of the matrix-based multifilters and the extra pre and postfiltering stages, which are popularly adopted for initializing the input data. Recently, we proposed a generalized structure for the discrete multiwavelet transform (GDMWT). The new structure allows the prefilters to embed into the transform such that the related complexity of implementing the prefilters can be reduced. In this paper, we further consider the efficient realization method of GDMWT. We show that the matrix-based multifilters can be simplified by applying different Givens rotations to the factorized matrices. A new lattice structure is then proposed for their efficient realizations. As compared with the scalar wavelet transform for example using biorthogonal 9/7 wavelet, the proposed approach has a similar complexity while enjoying a better energy compaction performance.
Original languageEnglish
Title of host publication2007 15th International Conference on Digital Signal Processing, DSP 2007
Pages635-638
Number of pages4
DOIs
Publication statusPublished - 1 Dec 2007
Event2007 15th International Conference onDigital Signal Processing, DSP 2007 - Wales, United Kingdom
Duration: 1 Jul 20074 Jul 2007

Conference

Conference2007 15th International Conference onDigital Signal Processing, DSP 2007
CountryUnited Kingdom
CityWales
Period1/07/074/07/07

Keywords

  • Multiwavelets
  • Orthogonality
  • Prefilter

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

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