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On Adaptive Smoothing of Empirical Transfer Function Estimates
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Arizona State University, USA.
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2000 (English)In: Control Engineering Practice, ISSN 0967-0661, E-ISSN 1873-6939, Vol. 8, no 11, p. 1309-1315Article in journal (Refereed) Published
Abstract [en]

The determination of the right resolution parameter when estimating frequency functions of linear systems is a trade-off between bias and variance. Traditional non-parametric approaches, like `window-closing' employ a global resolution parameter - the window width - that is tuned by ad hoc methods, usually visual inspection of the results. This paper suggests a method that tunes such parameters by an automatic procedure. A further benefit is that the tuning can be performed locally, i.e., that different resolutions can be used in different frequency bands. The ideas are based on local polynomial regression and a data-driven bandwidth selector. The advantages of the proposed method are illustrated in numerical examples.

Place, publisher, year, edition, pages
2000. Vol. 8, no 11, p. 1309-1315
Keywords [en]
Frequency-response methods, Non-parametric regression
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-47549DOI: 10.1016/S0967-0661(00)00065-4OAI: oai:DiVA.org:liu-47549DiVA, id: diva2:268445
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2024-01-08

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Gustafsson, FredrikLjung, Lennart

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