Efficient computation of densely sampled wavelet transforms

Douglas L Jones, Richard G. Baraniuk

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

Abstract

An efficient algorithm is presented for computing the continuous wavelet transform and the wideband ambiguity function on a sample grid with uniform time spacing but arbitrary sampling in scale. The method is based on the chirp z-transform and requires the same order of computation as constant-bandwidth analysis techniques, such as the short-time Fourier transform and the narrowband ambiguity function. An alternative spline approximation method which is more efficient when the number of scale samples is large is also described.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
EditorsFranklin T. Luk
PublisherPubl by Int Soc for Optical Engineering
Pages202-206
Number of pages5
Volume1566
ISBN (Print)0819406945
StatePublished - 1991
EventAdvanced Signal Processing Algorithms, Architectures, and Implementations II - San Diego, CA, USA
Duration: Jul 24 1991Jul 26 1991

Other

OtherAdvanced Signal Processing Algorithms, Architectures, and Implementations II
CitySan Diego, CA, USA
Period7/24/917/26/91

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics

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  • Cite this

    Jones, D. L., & Baraniuk, R. G. (1991). Efficient computation of densely sampled wavelet transforms. In F. T. Luk (Ed.), Proceedings of SPIE - The International Society for Optical Engineering (Vol. 1566, pp. 202-206). Publ by Int Soc for Optical Engineering.