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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References
Gersch W (1974) On the achievable accuracy of structural system parameter estimates. J Sound Vib 34(1):63–79
Kay SM (1993) Fundamentals of statistical signal processing: estimation theory. Prentice Hall, Upper Saddle River
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):1017–1020
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© 2013 The Society for Experimental Mechanics, Inc.
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Hernandez, E.M. (2013). Quantifying Maximum Achievable Accuracy of Identified Modal Parameters from Noise Contaminated Free Vibration Data. In: Simmermacher, T., Cogan, S., Moaveni, B., Papadimitriou, C. (eds) Topics in Model Validation and Uncertainty Quantification, Volume 5. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6564-5_8
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DOI: https://doi.org/10.1007/978-1-4614-6564-5_8
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Online ISBN: 978-1-4614-6564-5
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