On the correlation property of multiscaling coefficients for signal denoising

Eddie C.Y. Ma, Daniel P.K. Lun, Tai Chiu Hsung

Research output: Unpublished conference presentation (presented paper, abstract, poster)Conference presentation (not published in journal/proceeding/book)Academic researchpeer-review

Abstract

The discrete multiwavelet transform (DMWT) enables a signal to be analyzed in a multiresolution and multidimensional way. While the generated multiwavelet coefficients are vectors in nature, it has been generally understood that correlation exists between the vector elements. This feature has been adopted particularly in image coding applications to allow efficient design of VQ codebook. For a multiresolution analysis, the multiwavelet coefficients are generated from the multiscaling coefficients of the upper level. In this paper, we show that many multiwavelet systems cannot give correlated multiscaling vector elements, as different from the multiwavelet vector elements. But for those that can give correlated multiscaling vector elements, they can provide much information to assist in identifying the "blank" regions in a noisy signal. A new denoising algorithm is then proposed based on this feature and is particularly useful for sparse source signals.

Original languageEnglish
Pages445-448
Number of pages4
Publication statusPublished - 4 Oct 2009
EventAsia-Pacific Signal and Information Processing Association 2009 Annual Summit and Conference, APSIPA ASC 2009 - Sapporo, Japan
Duration: 4 Oct 20097 Oct 2009

Conference

ConferenceAsia-Pacific Signal and Information Processing Association 2009 Annual Summit and Conference, APSIPA ASC 2009
Country/TerritoryJapan
CitySapporo
Period4/10/097/10/09

Keywords

  • Cross correlations
  • Denoising
  • Multiwavelet
  • Wavelets

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Information Systems
  • Electrical and Electronic Engineering
  • Communication

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