Frequency Resolution of a Multi Degree of Freedom Resonator

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.

• Författare: Kari Moran; Barry E. DeMartini; Kimberly L. Turner; Karl Johan Åström
• Avdelning/ar: Institutionen för reglerteknik
• Publiceringsår: 2009
• Språk: Engelska
• Sidor: 865-868
• Publikation/Tidskrift/Serie: 2009 IEEE Sensors
• Länkar: http://dx.doi.org/10.1109/ICSENS.2009.5398243
• Dokumenttyp: Konferensbidrag
• Ämne: Control Engineering
• Nyckelord: 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
• Forskningsgrupp: LCCC