A lower bound for the variance of frequency and damping ratio identified from noisy vibration measurements

A lower bound for the variance of frequency and damping ratio identified from noisy vibration measurements

Summary This paper derives exact expressions to compute the lowest achievable variance by any unbiased estimator of modal frequency and damping ratio from free vibration and forced vibration signals contaminated by additive zero‐mean Gaussian white noise. These limits are found through the Cramer–Ra...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Structural control and health monitoring 2016-01, Vol.23 (1), p.5-19
Hauptverfasser: Hernandez, Eric M., Polanco, Néstor R.
Format: Artikel
Sprache:eng
Schlagworte:
Cramer-Rao
damping
estimation
Fisher information
uncertainty quantification
Vibration
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Summary This paper derives exact expressions to compute the lowest achievable variance by any unbiased estimator of modal frequency and damping ratio from free vibration and forced vibration signals contaminated by additive zero‐mean Gaussian white noise. These limits are found through the Cramer–Rao lower bound theory. The paper presents simulated system identification results that confirm the applicability of the derived expressions. Copyright © 2015 John Wiley & Sons, Ltd.
ISSN:1545-2255
1545-2263
DOI:10.1002/stc.1757