Iterated oversampled filter banks and wavelet frames

Ivan Selesnick, Levent Sendur

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper takes up the design of wavelet tight frames that are analogous to Daubechies orthonormal wavelets - that is, the design of minimal length wavelet filters satisfying certain polynomial properties, but now in the oversampled case. The oversampled dyadic DWT considered in this paper is based on a single scaling function and two distinct wavelets. Having more wavelets than necessary gives a closer spacing between adjacent wavelets within the same scale. As a result, the transform (like Kingsbury's dual-tree DWT) is nearly shift-invariant, and can be used to improve denoising. Because the associated time-frequency lattice preserves the dyadic structure of the critically sampled DWT (which the undecimated DWT does not) it can be used with tree-based denoising algorithms that exploit parent-child correlation.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
Pages733-744
Number of pages12
Volume4119
DOIs
StatePublished - 2000
EventWavelet Applications in Signal and Image Processing VIII - San Diego, CA, USA
Duration: Jul 31 2000Aug 4 2000

Other

OtherWavelet Applications in Signal and Image Processing VIII
CitySan Diego, CA, USA
Period7/31/008/4/00

Fingerprint

dyadics
Filter banks
filters
polynomials
spacing
Polynomials
scaling
shift

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics

Cite this

Selesnick, I., & Sendur, L. (2000). Iterated oversampled filter banks and wavelet frames. In Proceedings of SPIE - The International Society for Optical Engineering (Vol. 4119, pp. 733-744) https://doi.org/10.1117/12.408663

Iterated oversampled filter banks and wavelet frames. / Selesnick, Ivan; Sendur, Levent.

Proceedings of SPIE - The International Society for Optical Engineering. Vol. 4119 2000. p. 733-744.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Selesnick, I & Sendur, L 2000, Iterated oversampled filter banks and wavelet frames. in Proceedings of SPIE - The International Society for Optical Engineering. vol. 4119, pp. 733-744, Wavelet Applications in Signal and Image Processing VIII, San Diego, CA, USA, 7/31/00. https://doi.org/10.1117/12.408663
Selesnick I, Sendur L. Iterated oversampled filter banks and wavelet frames. In Proceedings of SPIE - The International Society for Optical Engineering. Vol. 4119. 2000. p. 733-744 https://doi.org/10.1117/12.408663
Selesnick, Ivan ; Sendur, Levent. / Iterated oversampled filter banks and wavelet frames. Proceedings of SPIE - The International Society for Optical Engineering. Vol. 4119 2000. pp. 733-744
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