A Least Squares Approach to Direct Frequency Response Estimation
2011 (English)In: 2011 50th IEEE Conference On Decision And Control And European Control Conference (CDC-ECC), IEEE , 2011, 2160-2165 p.Conference paper (Refereed)
Traditionally, the frequency response function has been estimated directly by dividing the discrete Fourier transforms of the output and the input of the system. This approach suffers from leakage errors and noise sensitivity. Lately these errors have been studied in detail. The main observation is that the error has a smooth frequency characteristic that is highly structured. The recently proposed local polynomial method uses this smoothness, and tries to estimate the frequency response function along with a smooth approximation of the error term. In this paper we propose a method, closely related to the local polynomial method, but instead of using the smoothness of the error we explore the structure even further. The proposed approach to estimate the frequency response function seems promising, as illustrated by simulations and comparison with current state of the art methods.
Place, publisher, year, edition, pages
IEEE , 2011. 2160-2165 p.
, IEEE Conference on Decision and Control. Proceedings, ISSN 0191-2216
Error terms, Frequency characteristic, Frequency response estimation, Frequency response functions, Leakage error, Least-squares approach, Noise sensitivity, Polynomial methods, Smooth approximation, State-of-the-art methods
IdentifiersURN: urn:nbn:se:kth:diva-61564DOI: 10.1109/CDC.2011.6161098ISI: 000303506202125ScopusID: 2-s2.0-84860701714ISBN: 978-1-61284-799-3OAI: oai:DiVA.org:kth-61564DiVA: diva2:479371
2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011; Orlando, FL; United States; 12 December 2011 through 15 December 2011
FunderEU, FP7, Seventh Framework Programme, 267381Swedish Research Council
QC 201201192012-01-172012-01-172013-12-13Bibliographically approved