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Optimal Inequalities to Bound a Performance Probability Read chapter Read first chapter

2013 | OriginalPaper | Chapter

8. Quantifying Maximum Achievable Accuracy of Identified Modal Parameters from Noise Contaminated Free Vibration Data

Author : Eric M. Hernandez

Published in: Topics in Model Validation and Uncertainty Quantification, Volume 5

Publisher: Springer New York

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Abstract

This paper derives exact results for the maximum achievable accuracy when estimating modal parameters from free vibration signals contaminated by Gaussian white noise. These limits are found through the Cramer-Rao lower bound. The paper compares the exact findings with previous approximate results found in the literature. Comparisons are drawn with results from stochastic simulations of a Fourier domain approach for estimation of natural frequency and damping in single degree of freedom system.

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Literature
1.
Gersch W (1974) On the achievable accuracy of structural system parameter estimates. J Sound Vib 34(1):63–79MATHCrossRef
2.
Kay SM (1993) Fundamentals of statistical signal processing: estimation theory. Prentice Hall, Upper Saddle RiverMATH
3.
Wigren T, Nehorai A (1991) Asymptotic Cramer-Rao bounds for estimation of the parameters of damped sine waves in noise. IEEE Trans Signal Process 39(4):1017–1020CrossRef
Metadata
Title
Quantifying Maximum Achievable Accuracy of Identified Modal Parameters from Noise Contaminated Free Vibration Data
Author
Eric M. Hernandez
Copyright Year
2013
Publisher
Springer New York
Book
Topics in Model Validation and Uncertainty Quantification, Volume 5

Print ISBN: 978-1-4614-6563-8

Electronic ISBN: 978-1-4614-6564-5

Copyright Year: 2013

DOI
https://doi.org/10.1007/978-1-4614-6564-5_8