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Non-parametric frequency function estimation using transient impulse response modelling
KTH, Skolan för elektro- och systemteknik (EES), Reglerteknik. KTH, Skolan för elektro- och systemteknik (EES), Centra, ACCESS Linnaeus Centre.
KTH, Skolan för elektro- och systemteknik (EES), Reglerteknik. KTH, Skolan för elektro- och systemteknik (EES), Centra, ACCESS Linnaeus Centre. (System Identification Group)ORCID-id: 0000-0002-9368-3079
2012 (Engelska)Ingår i: 16th IFAC Symposium on System Identification, IFAC , 2012, s. 43-48Konferensbidrag, Publicerat paper (Refereegranskat)
Abstract [en]

Recently, Hägg, Hjalmarsson and Wahlberg proposed a novel non-parametric method that directly estimates the frequency response at N equidistant frequencies when N measurements are available. The specific feature of the method is that together with these estimates, the transient, or, equivalently, the leakage, is explicitly estimated. The estimates are obtained by solving a least-squares problem. The method involves three design variables, the number of estimated transient terms, a number of auxiliary impulse response coefficients (that also are estimated), and the size of a frequency window. At present there is no analysis of how these design variables affect the properties of the method, which we will call TRIMM (TRansient Impulse response Modeling Method). In this contribution we provide bias and variance analysis for two extreme cases of the window size. We show that at one extreme value, the method coincides with the Empirical Transfer Function Estimate, and at the other extreme it is close to directly estimating a FIR model. This indicates that TRIMM provides an intermediate between non-parametric and parametric estimation. The results allows us to quantify bias and variance errors at the two extreme cases under study, and gives insight into how to choose the design variables in a systematic way.

Ort, förlag, år, upplaga, sidor
IFAC , 2012. s. 43-48
Serie
IFAC Proceedings Volumes (IFAC-PapersOnline), ISSN 1474-6670 ; 16
Nyckelord [en]
Analysis of variance, Frequency response methods, Parameter identification, System identification
Nationell ämneskategori
Reglerteknik
Forskningsämne
SRA - Informations- och kommunikationsteknik
Identifikatorer
URN: urn:nbn:se:kth:diva-74321DOI: 10.3182/20120711-3-BE-2027.00327Scopus ID: 2-s2.0-84867073321ISBN: 978-390282306-9 (tryckt)OAI: oai:DiVA.org:kth-74321DiVA, id: diva2:489372
Konferens
Universite Libre de Bruxelles;Bruxelles; 11 July 2012 through 13 July 2012
Forskningsfinansiär
ICT - The Next Generation
Anmärkning

QC 20121122

Tillgänglig från: 2012-02-02 Skapad: 2012-02-02 Senast uppdaterad: 2022-06-24Bibliografiskt granskad

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Hjalmarsson, Håkan

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Hägg, PerHjalmarsson, Håkan
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ReglerteknikACCESS Linnaeus Centre
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Totalt: 121 träffar
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