Pole reconstruction of systems from Laguerre basis representations

  • Authors:
  • Alexandros Soumelidis;Ferenc Schipp;Jozsef Bokor

  • Affiliations:
  • Computer & Automation Res. Inst., Systems and Control Laboratory, Budapest, Hungary;Eötvös Loránd University, Department of Numerical Analysis, Budapest, Hungary;Computer & Automation Res. Inst., Systems and Control Laboratory, Budapest, Hungary

  • Venue:
  • Proceedings of the 15th WSEAS international conference on Systems
  • Year:
  • 2011

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Abstract

This paper investigates an opportunity to identify poles of systems with unknown structure on the basis of discrete-time spectral signal representations generated on the basis orthogonal Laguerre systems. The convergence of the Laguerre representation coefficients is analyzed within the framework of a hyperbolic metrics generated by the Blaschke functions associated with the Laguerre system, and a conceptual base is given to solve the task of finding the poles of the system. An algorithm is proposed to find the poles, and a discussion is given upon the criteria of finding all of them. An efficient implementation of the algorithm based upon frequency domain measurement is available for practical computations.