Time localization techniques for wavelet transforms

  • Miaden Victor Wickerhauser

Research output: Contribution to journalConference articlepeer-review

Abstract

We consider the following pair of problems related to orthonormal compactly supported wavelet expansions: (1)Given a wavelet coefficient with its nominal scale and position indices, find the precise location of the transient signalfeature which produced it; (2) Given two collections of wavelet coefficients, determine whether they arise from aperiodic signal and its translate, and if so find the translation which maps one into the other. Both problems may besolved by traditional means after inverting the wavelet transform, but we propose two alternative algorithms whichrely solely on the wavelet coefficients themselves.

Original languageEnglish
Pages (from-to)226-243
Number of pages18
JournalProceedings of SPIE - The International Society for Optical Engineering
Volume2277
DOIs
StatePublished - Oct 25 1994
EventAutomatic Systems for the Identification and Inspection of Humans 1994 - San Diego, United States
Duration: Jul 24 1994Jul 29 1994

Keywords

  • Discrete orthogonal wavelets
  • FIR
  • Linear phase filters
  • QMF
  • Translation invariance

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