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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Main Author: Jonathan E. Cooper
Format: Article
Language:English
Published: Wiley 2004-01-01
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.
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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