Model reduction of 2-D systems via orthogonal series

P. N. Paraskevopoulos, P. E. Panagopoulos, G. K. Vaitsis, S. J. Varoufakis, George Antoniou

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)

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.

Original languageEnglish
Pages (from-to)69-83
Number of pages15
JournalMultidimensional Systems and Signal Processing
Volume2
Issue number1
DOIs
StatePublished - 1 Mar 1991

Fingerprint

Orthogonal Series
2-D Systems
Model Reduction
Approximate Model
System of equations
Simplify
Hardware
Linear systems
Simulation
Model

Keywords

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

Cite this

Paraskevopoulos, P. N., Panagopoulos, P. E., Vaitsis, G. K., Varoufakis, S. J., & Antoniou, G. (1991). Model reduction of 2-D systems via orthogonal series. Multidimensional Systems and Signal Processing, 2(1), 69-83. https://doi.org/10.1007/BF01940473
Paraskevopoulos, P. N. ; Panagopoulos, P. E. ; Vaitsis, G. K. ; Varoufakis, S. J. ; Antoniou, George. / Model reduction of 2-D systems via orthogonal series. In: Multidimensional Systems and Signal Processing. 1991 ; Vol. 2, No. 1. pp. 69-83.
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Paraskevopoulos, PN, Panagopoulos, PE, Vaitsis, GK, Varoufakis, SJ & Antoniou, G 1991, 'Model reduction of 2-D systems via orthogonal series', Multidimensional Systems and Signal Processing, vol. 2, no. 1, pp. 69-83. https://doi.org/10.1007/BF01940473

Model reduction of 2-D systems via orthogonal series. / Paraskevopoulos, P. N.; Panagopoulos, P. E.; Vaitsis, G. K.; Varoufakis, S. J.; Antoniou, George.

In: Multidimensional Systems and Signal Processing, Vol. 2, No. 1, 01.03.1991, p. 69-83.

Research output: Contribution to journalArticleResearchpeer-review

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