Frequency Resolution of a Multi Degree of Freedom Resonator
(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:
https://lup.lub.lu.se/record/3051459
- author
- Moran, Kari ; DeMartini, Barry E. ; Turner, Kimberly L. and Åström, Karl Johan LU
- organization
- publishing date
- 2009
- 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
- 2024-01-13 07:59:12
@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}}, }