On hyperbolic wavelets

Alexandros Soumelidis, Ferenc Schipp, József Bokor

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

8 Citations (Scopus)

Abstract

A hyperbolic wavelet concept that can be used to describe, represent, and identify signals belonging to the space of functions H2 on the unit disc is constructed. The wavelet is derived as the voice-transform belonging to the unitary representation of the Blaschke group upon H2 on the disc. An alternative for discretization is also proposed and an efficient algorithm is constructed to compute the wavelet coefficients.

Original languageEnglish
Title of host publicationProceedings of the 18th IFAC World Congress
PublisherIFAC Secretariat
Pages2309-2314
Number of pages6
Edition1 PART 1
ISBN (Print)9783902661937
DOIs
Publication statusPublished - Jan 1 2011

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number1 PART 1
Volume44
ISSN (Print)1474-6670

Keywords

  • Discretization
  • Nonparametric identification
  • Signal analysis
  • Transforms

ASJC Scopus subject areas

  • Control and Systems Engineering

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  • Cite this

    Soumelidis, A., Schipp, F., & Bokor, J. (2011). On hyperbolic wavelets. In Proceedings of the 18th IFAC World Congress (1 PART 1 ed., pp. 2309-2314). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 44, No. 1 PART 1). IFAC Secretariat. https://doi.org/10.3182/20110828-6-IT-1002.02074