On-line wavelet estimation of Hammerstein system nonlinearity

Przemysław Śliwiński

International Journal of Applied Mathematics and Computer Science (2010)

  • Volume: 20, Issue: 3, page 513-523
  • ISSN: 1641-876X

Abstract

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A new algorithm for nonparametric wavelet estimation of Hammerstein system nonlinearity is proposed. The algorithm works in the on-line regime (viz., past measurements are not available) and offers a convenient uniform routine for nonlinearity estimation at an arbitrary point and at any moment of the identification process. The pointwise convergence of the estimate to locally bounded nonlinearities and the rate of this convergence are both established.

How to cite

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Przemysław Śliwiński. "On-line wavelet estimation of Hammerstein system nonlinearity." International Journal of Applied Mathematics and Computer Science 20.3 (2010): 513-523. <http://eudml.org/doc/208004>.

@article{PrzemysławŚliwiński2010,
abstract = {A new algorithm for nonparametric wavelet estimation of Hammerstein system nonlinearity is proposed. The algorithm works in the on-line regime (viz., past measurements are not available) and offers a convenient uniform routine for nonlinearity estimation at an arbitrary point and at any moment of the identification process. The pointwise convergence of the estimate to locally bounded nonlinearities and the rate of this convergence are both established.},
author = {Przemysław Śliwiński},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {Hammerstein systems; on-line nonparametric identification; wavelet estimates; convergence analysis},
language = {eng},
number = {3},
pages = {513-523},
title = {On-line wavelet estimation of Hammerstein system nonlinearity},
url = {http://eudml.org/doc/208004},
volume = {20},
year = {2010},
}

TY - JOUR
AU - Przemysław Śliwiński
TI - On-line wavelet estimation of Hammerstein system nonlinearity
JO - International Journal of Applied Mathematics and Computer Science
PY - 2010
VL - 20
IS - 3
SP - 513
EP - 523
AB - A new algorithm for nonparametric wavelet estimation of Hammerstein system nonlinearity is proposed. The algorithm works in the on-line regime (viz., past measurements are not available) and offers a convenient uniform routine for nonlinearity estimation at an arbitrary point and at any moment of the identification process. The pointwise convergence of the estimate to locally bounded nonlinearities and the rate of this convergence are both established.
LA - eng
KW - Hammerstein systems; on-line nonparametric identification; wavelet estimates; convergence analysis
UR - http://eudml.org/doc/208004
ER -

References

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