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Model reduction of 2-D systems via orthogonal series

  • P. N. Paraskevopoulos
  • P. E. Panagopoulos
  • G. K. Vaitsis
  • S. J. Varoufakis
  • G. E. Antoniou
Communication Brief

Abstract

In this article, the problem of model reduction of 2-D systems is studied via orthogonal series. The algorithm proposed reduces the problem to an overdetermined linear algebraic system of equations, which may readily be solved to yield the simplified model. When this model approximates adequately the original system, it has many important advantages, e.g., it simplifies the analysis and simulation of the original system, it reduces the computational effort in design procedures, it reduces the hardware complexity of the system, etc. Several examples are included which illustrate the efficiency of the proposed method and gives some comparison with other model reduction techniques.

Keywords

orthogonal series model reduction Walsh and Chebyshev series Pade block pulse shifting transformation matrix fraction expansion Chebyshev polynomials 

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Copyright information

© Kluwer Academic Publishers 1991

Authors and Affiliations

  • P. N. Paraskevopoulos
    • 1
  • P. E. Panagopoulos
    • 1
  • G. K. Vaitsis
    • 1
  • S. J. Varoufakis
    • 2
  • G. E. Antoniou
    • 3
  1. 1.Electrical Engineering Department, Division of Computer ScienceNational Technical University of AthensZographou, AthensGreece
  2. 2.N.R.C.P.S. “Democritos,”Institute of Informatics and TelecommunicationsAthensGreece
  3. 3.New Jersey Institute of Technology, Department of Electrical and Computer EngineeringUniversity HeightsNewark

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