Smooth wavelet frames with application to denoising

Ivan Selesnick, Levent Sendur

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

Abstract

This paper considers the design and application of wavelet tight frames based on iterated oversampled filter banks. The greater design freedom available makes possible the construction of wavelets with a high degree of smoothness, in comparison with orthonormal wavelet bases. Grobner bases are used to obtain the solutions to the nonlinear design equations. Following the dual-tree DWT of Kingsbury, one goal is to keep the redundancy-factor bounded by 2, instead of allowing it to grow as it does for the undecimated DWT (which is exactly shift-invariant). For the tight frame presented here, optimal-tree based denoising algorithms can be directly applied.

Original languageEnglish (US)
Title of host publicationICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
PublisherIEEE
Pages129-132
Number of pages4
Volume1
StatePublished - 2000
Event2000 IEEE Interntional Conference on Acoustics, Speech, and Signal Processing - Istanbul, Turkey
Duration: Jun 5 2000Jun 9 2000

Other

Other2000 IEEE Interntional Conference on Acoustics, Speech, and Signal Processing
CityIstanbul, Turkey
Period6/5/006/9/00

Fingerprint

Filter banks
redundancy
Redundancy
filters
shift

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering
  • Acoustics and Ultrasonics

Cite this

Selesnick, I., & Sendur, L. (2000). Smooth wavelet frames with application to denoising. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings (Vol. 1, pp. 129-132). IEEE.

Smooth wavelet frames with application to denoising. / Selesnick, Ivan; Sendur, Levent.

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. Vol. 1 IEEE, 2000. p. 129-132.

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

Selesnick, I & Sendur, L 2000, Smooth wavelet frames with application to denoising. in ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. vol. 1, IEEE, pp. 129-132, 2000 IEEE Interntional Conference on Acoustics, Speech, and Signal Processing, Istanbul, Turkey, 6/5/00.
Selesnick I, Sendur L. Smooth wavelet frames with application to denoising. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. Vol. 1. IEEE. 2000. p. 129-132
Selesnick, Ivan ; Sendur, Levent. / Smooth wavelet frames with application to denoising. ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. Vol. 1 IEEE, 2000. pp. 129-132
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