# Identification of system poles using hyperbolic metrics

Soumelidis, Alexandros and Bokor, József and Schipp, Ferenc
(2013)
*Identification of system poles using hyperbolic metrics.*
In: Proceedings of the 3rd IASTED Asian Conference on Modelling, Identification, and Control, 2013-04-10 - 2013-04-12, Phuket, Thaiföld.

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## 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.

Item Type: | Conference or Workshop Item (-) |
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Uncontrolled Keywords: | Identification (control systems), Poles, Hyperbolic functions, GEOMETRY, Frequency domain analysis, Rational orthogonal basis, Non-parametric identification, Identification of systems, Group representation, Function representations, Frequency-domain representations, system identification, Signals and systems, Hyperbolic geometry, Group representations, Frequency domain representations |

Subjects: | Q Science > QA Mathematics and Computer Science > QA75 Electronic computers. Computer science / számítástechnika, számítógéptudomány |

Divisions: | Systems and Control Lab |

Depositing User: | EPrints Admin |

Date Deposited: | 05 Feb 2014 12:33 |

Last Modified: | 05 Feb 2014 15:46 |

URI: | http://eprints.sztaki.hu/id/eprint/7730 |

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