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Frequency Resolution of a Multi Degree of Freedom Resonator

Author

Summary, in English

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.

Publishing year

2009

Language

English

Pages

865-868

Publication/Series

2009 IEEE Sensors

Document type

Conference paper

Topic

  • Control Engineering

Keywords

  • Chemical sensors
  • Cramer-Rao bounds
  • Displacement measurement
  • Frequency estimation
  • Frequency measurement
  • Mechanical sensors
  • Optical coupling
  • Oscillators
  • Parameter estimation
  • Thermal force

Conference name

2009 IEEE Sensors

Conference date

2009-10-25

Conference place

Christchurch, New Zealand

Status

Published

Research group

  • LCCC