The design of Hilbert transform pairs of wavelet bases via the flat delay filter

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

Abstract

This paper describes a simple procedure, based on spectral factorization, for the design of a pair of orthonormal wavelet bases where the two wavelets form a Hilbert transform pair. The two scaling filters respectively have the numerator and denominator of the flat delay all-pass filter as factors. The design procedure allows for an arbitrary number of zero wavelet moments to be specified. A Matlab program for the procedure is given, and examples are also given to illustrate the results.

Original languageEnglish (US)
Title of host publicationICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Pages3673-3676
Number of pages4
Volume6
StatePublished - 2001
Event2001 IEEE Interntional Conference on Acoustics, Speech, and Signal Processing - Salt Lake, UT, United States
Duration: May 7 2001May 11 2001

Other

Other2001 IEEE Interntional Conference on Acoustics, Speech, and Signal Processing
CountryUnited States
CitySalt Lake, UT
Period5/7/015/11/01

Fingerprint

All-pass filters
filters
Factorization
factorization
moments
scaling

ASJC Scopus subject areas

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

Cite this

Selesnick, I. (2001). The design of Hilbert transform pairs of wavelet bases via the flat delay filter. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings (Vol. 6, pp. 3673-3676)

The design of Hilbert transform pairs of wavelet bases via the flat delay filter. / Selesnick, Ivan.

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. Vol. 6 2001. p. 3673-3676.

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

Selesnick, I 2001, The design of Hilbert transform pairs of wavelet bases via the flat delay filter. in ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. vol. 6, pp. 3673-3676, 2001 IEEE Interntional Conference on Acoustics, Speech, and Signal Processing, Salt Lake, UT, United States, 5/7/01.
Selesnick I. The design of Hilbert transform pairs of wavelet bases via the flat delay filter. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. Vol. 6. 2001. p. 3673-3676
Selesnick, Ivan. / The design of Hilbert transform pairs of wavelet bases via the flat delay filter. ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. Vol. 6 2001. pp. 3673-3676
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