Identification of system poles using hyperbolic metrics

Alexandros Soumelidis, József Bokor, Ferenc Schipp

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

Abstract

This paper gives an analysis on the opportunities of using some principles of the hyperbolic geometry in the field of signals and systems theory. Based upon the hyperbolic transform realized by the Blaschke function a hyperbolic metric is defined on the unit circle that corresponds to the notions of the Poincaré disc model of the hyperbolic geometry. Based on the hyperbolic metric and the Laguerre representation of analytic functions in the unit disc a method is outlined, which gives the opportunity to derive the poles of the functions. Deriving the poles in combination with function representations in rational orthogonal bases solves the nonparametric identification problem in the frequency domain.

Original languageEnglish
Title of host publicationProceedings of the 3rd IASTED Asian Conference on Modelling, Identification, and Control, AsiaMIC 2013
Pages53-57
Number of pages5
DOIs
Publication statusPublished - Jul 12 2013
Event3rd IASTED Asian Conference on Modelling, Identification, and Control, AsiaMIC 2013 - Phuket, Thailand
Duration: Apr 10 2013Apr 12 2013

Publication series

NameProceedings of the 3rd IASTED Asian Conference on Modelling, Identification, and Control, AsiaMIC 2013

Other

Other3rd IASTED Asian Conference on Modelling, Identification, and Control, AsiaMIC 2013
CountryThailand
CityPhuket
Period4/10/134/12/13

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Keywords

  • Frequency domain representations
  • Group representations
  • Hyperbolic geometry
  • Signals and systems
  • System identification

ASJC Scopus subject areas

  • Computer Science Applications
  • Software
  • Modelling and Simulation

Cite this

Soumelidis, A., Bokor, J., & Schipp, F. (2013). Identification of system poles using hyperbolic metrics. In Proceedings of the 3rd IASTED Asian Conference on Modelling, Identification, and Control, AsiaMIC 2013 (pp. 53-57). (Proceedings of the 3rd IASTED Asian Conference on Modelling, Identification, and Control, AsiaMIC 2013). https://doi.org/10.2316/P.2013.799-052