Adaptive wavelet transforms via lifting

Roger Claypoole, Richard G. Baraniuk, Robert Nowak

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

This paper develops new algorithms for adapted multiscale analysis and signal adaptive wavelet transforms. We construct our adaptive transforms with the lifting scheme, which decomposes the wavelet transform into prediction and update stages. We adapt the prediction stage to the signal structure and design the update stage to preserve the desirable properties of the wavelet transform. We incorporate this adaptivity into the redundant and nonredundant transforms; the resulting transforms are scale and spatially adaptive. We study applications to signal estimation; our new transforms show improved denoising performance over existing (nonadaptive) orthogonal transforms.

Original languageEnglish (US)
Number of pages1
JournalIEEE Transactions on Signal Processing
Volume47
Issue number9
StatePublished - Sep 1 1999

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

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