L system approximation algorithms generated by φ summations

F. Schipp, J. Bokor

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

This paper discusses linear L approximation of systems from noisy frequency-domain data. The models are discrete partial sum operators generated by φ-summations including, e.g. the Fejér and the de La Vallée-Poussin summations as special cases. The main contribution of the paper is the derivation of upper bounds on these operators and on the approximation error in terms of the Fourier transform of the window function φ. The results can be used to design the first linear step in the two-step approximate ℋ identification method with desired approximation and convergence properties.

Original languageEnglish
Pages (from-to)2019-2024
Number of pages6
JournalAutomatica
Volume33
Issue number11
Publication statusPublished - Nov 1997

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Approximation algorithms
Fourier transforms

Keywords

  • Convergence
  • Fourier-analysis
  • Identification algorithms
  • Model approximation

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

L system approximation algorithms generated by φ summations. / Schipp, F.; Bokor, J.

In: Automatica, Vol. 33, No. 11, 11.1997, p. 2019-2024.

Research output: Contribution to journalArticle

Schipp, F. ; Bokor, J. / L system approximation algorithms generated by φ summations. In: Automatica. 1997 ; Vol. 33, No. 11. pp. 2019-2024.
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