Applying hyperbolic wavelet constructions in the identification of signals and systems

Alexandros Soumelidis, József Bokor, Ferenc Schipp

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

1 Citation (Scopus)

Abstract

This paper is devoted to the construction of wavelet-type transforms with the purpose to represent functions belonging to the Hardy-space H2. The concept of the affine wavelet-transform defined in the space L2 is extended to the Hardy space H2 on the basis of the Blaschke group. A discrete hyperbolic wavelet scheme is also constructed that results in computable forms. The wavelet construction obtained possesses good localization properties with respect to functions in H2, hence forms an adequate tool for signal and system identification purposes.

Original languageEnglish
Title of host publication15th Symposium on System Identification, SYSID 2009 - Preprints
Pages1334-1339
Number of pages6
EditionPART 1
DOIs
Publication statusPublished - Dec 1 2009
Event15th IFAC Symposium on System Identification, SYSID 2009 - Saint-Malo, France
Duration: Jul 6 2009Jul 8 2009

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
NumberPART 1
Volume15
ISSN (Print)1474-6670

Other

Other15th IFAC Symposium on System Identification, SYSID 2009
CountryFrance
CitySaint-Malo
Period7/6/097/8/09

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Keywords

  • Discretization
  • Nonparametric identification
  • Signal analysis
  • Transforms

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Soumelidis, A., Bokor, J., & Schipp, F. (2009). Applying hyperbolic wavelet constructions in the identification of signals and systems. In 15th Symposium on System Identification, SYSID 2009 - Preprints (PART 1 ed., pp. 1334-1339). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 15, No. PART 1). https://doi.org/10.3182/20090706-3-FR-2004.0392