Frequency Resolution of a Multi Degree of Freedom Resonator

• 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.

Ämnesord

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)

Nyckelord

Chemical sensors

Cramer-Rao bounds

Displacement measurement

Frequency estimation

Frequency measurement

Mechanical sensors

Optical coupling

Oscillators

Parameter estimation

Thermal force

Publikations- och innehållstyp

kon (ämneskategori)

ref (ämneskategori)