On the Use of Weighted Least Squares for Time Domain Modal Parameter Identification
An approach for the use of the Weighted Least Squares method for time domain modal parameter identification is introduced. The approach enables standard identification methods to be employed in the usual manner, except that sections of the time records with high signal-noise ratios are given a great...
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Format: | Article |
Language: | English |
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Wiley
2004-01-01
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Series: | Shock and Vibration |
Online Access: | http://dx.doi.org/10.1155/2004/142176 |
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author | Jonathan E. Cooper |
author_facet | Jonathan E. Cooper |
author_sort | Jonathan E. Cooper |
collection | DOAJ |
description | An approach for the use of the Weighted Least Squares method for time domain modal parameter identification is introduced. The approach enables standard identification methods to be employed in the usual manner, except that sections of the time records with high signal-noise ratios are given a greater emphasis in the identification process. It is shown how it is possible to apply the method to a wide range of applications, including the analysis of impulse response, input-output and time varying data. A number of different weighting schemes are explored, based upon exponential weighting and the envelope of the measured data. A series of simulated tests demonstrate how the performance of conventional time domain algorithms can be improved significantly with little extra computational effort though the use of a Weighted Least Squares scheme. |
format | Article |
id | doaj-art-8c04bb4dc554425da53a4dde5783b2c7 |
institution | Kabale University |
issn | 1070-9622 1875-9203 |
language | English |
publishDate | 2004-01-01 |
publisher | Wiley |
record_format | Article |
series | Shock and Vibration |
spelling | doaj-art-8c04bb4dc554425da53a4dde5783b2c72025-02-03T06:06:17ZengWileyShock and Vibration1070-96221875-92032004-01-01113-445746510.1155/2004/142176On the Use of Weighted Least Squares for Time Domain Modal Parameter IdentificationJonathan E. Cooper0Manchester School of Engineering, University of Manchester, Oxford Road, Manchester, M13 9PL, UKAn approach for the use of the Weighted Least Squares method for time domain modal parameter identification is introduced. The approach enables standard identification methods to be employed in the usual manner, except that sections of the time records with high signal-noise ratios are given a greater emphasis in the identification process. It is shown how it is possible to apply the method to a wide range of applications, including the analysis of impulse response, input-output and time varying data. A number of different weighting schemes are explored, based upon exponential weighting and the envelope of the measured data. A series of simulated tests demonstrate how the performance of conventional time domain algorithms can be improved significantly with little extra computational effort though the use of a Weighted Least Squares scheme.http://dx.doi.org/10.1155/2004/142176 |
spellingShingle | Jonathan E. Cooper On the Use of Weighted Least Squares for Time Domain Modal Parameter Identification Shock and Vibration |
title | On the Use of Weighted Least Squares for Time Domain Modal Parameter Identification |
title_full | On the Use of Weighted Least Squares for Time Domain Modal Parameter Identification |
title_fullStr | On the Use of Weighted Least Squares for Time Domain Modal Parameter Identification |
title_full_unstemmed | On the Use of Weighted Least Squares for Time Domain Modal Parameter Identification |
title_short | On the Use of Weighted Least Squares for Time Domain Modal Parameter Identification |
title_sort | on the use of weighted least squares for time domain modal parameter identification |
url | http://dx.doi.org/10.1155/2004/142176 |
work_keys_str_mv | AT jonathanecooper ontheuseofweightedleastsquaresfortimedomainmodalparameteridentification |