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Frequency Resolution of a Multi Degree of Freedom Resonator

Moran, Kari ; DeMartini, Barry E. ; Turner, Kimberly L. and Åström, Karl Johan LU (2009) 2009 IEEE Sensors p.865-868
Abstract
This paper outlines the process for estimating measurable parameters in a multi degree of freedom micro resonator. Thermal mechanical noise provides a baseline limit for frequency resolution of micro resonators. We develop the likelihood function for a linear regression model of 2 degree of freedom resonator. Using the Cramer-Rao inequality we determine the minimum possible covariance to estimate parameters, such as the natural frequency of the system.
Please use this url to cite or link to this publication:
author
; ; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Chemical sensors, Cramer-Rao bounds, Displacement measurement, Frequency estimation, Frequency measurement, Mechanical sensors, Optical coupling, Oscillators, Parameter estimation, Thermal force
host publication
2009 IEEE Sensors
pages
865 - 868
conference name
2009 IEEE Sensors
conference location
Christchurch, New Zealand
conference dates
2009-10-25
external identifiers
  • scopus:77951121081
DOI
10.1109/ICSENS.2009.5398243
language
English
LU publication?
yes
id
fa0d134d-de96-41a9-bd9f-3fe26d8b84d2 (old id 3051459)
date added to LUP
2016-04-04 13:31:32
date last changed
2022-01-30 00:24:28
@inproceedings{fa0d134d-de96-41a9-bd9f-3fe26d8b84d2,
  abstract     = {{This paper outlines the process for estimating measurable parameters in a multi degree of freedom micro resonator. Thermal mechanical noise provides a baseline limit for frequency resolution of micro resonators. We develop the likelihood function for a linear regression model of 2 degree of freedom resonator. Using the Cramer-Rao inequality we determine the minimum possible covariance to estimate parameters, such as the natural frequency of the system.}},
  author       = {{Moran, Kari and DeMartini, Barry E. and Turner, Kimberly L. and Åström, Karl Johan}},
  booktitle    = {{2009 IEEE Sensors}},
  keywords     = {{Chemical sensors; Cramer-Rao bounds; Displacement measurement; Frequency estimation; Frequency measurement; Mechanical sensors; Optical coupling; Oscillators; Parameter estimation; Thermal force}},
  language     = {{eng}},
  pages        = {{865--868}},
  title        = {{Frequency Resolution of a Multi Degree of Freedom Resonator}},
  url          = {{http://dx.doi.org/10.1109/ICSENS.2009.5398243}},
  doi          = {{10.1109/ICSENS.2009.5398243}},
  year         = {{2009}},
}