Adaptive Wavelet Transforms via Lifting

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Item Metadata Claypoole, Roger L.
Baraniuk, Richard G.
Nowak, Robert David
dc.creator Claypoole, Roger L.
Baraniuk, Richard G.
Nowak, Robert David 2007-10-31T00:40:32Z 2007-10-31T00:40:32Z 1999-01-15 2004-04-24
dc.description Tech Report
dc.description.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 non-redundant transforms; the resulting transforms are scale and spatially adaptive. We study applications to signal estimation; our new transforms show improved denoising performance over existing (non-adaptive) orthogonal transforms.
dc.description.sponsorship Texas Instruments
dc.description.sponsorship Defense Advanced Research Projects Agency
dc.description.sponsorship Office of Naval Research
dc.description.sponsorship National Science Foundation
dc.description.sponsorship National Science Foundation
dc.language.iso eng
dc.subject lifting
wavelet transform
dc.subject.other Wavelet based Signal/Image Processing
dc.title Adaptive Wavelet Transforms via Lifting
dc.type Report
dc.citation.bibtexName techreport
dc.citation.journalTitle None 2006-07-05 Digital Signal Processing (
dc.subject.keyword lifting
wavelet transform
dc.citation.volumeNumber ECE TR 9304
dc.type.dcmi Text
dc.identifier.citation R. L. Claypoole, R. G. Baraniuk and R. D. Nowak, "Adaptive Wavelet Transforms via Lifting," None, vol. ECE TR 9304, 1999.

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  • ECE Publications [1054 items]
    Publications by Rice University Electrical and Computer Engineering faculty and graduate students
  • DSP Publications [508 items]
    Publications by Rice Faculty and graduate students in digital signal processing.