Patent ID: 8333112

Claim:
A method of tuning a resonator, comprising: measuring a frequency response matrix of the resonator, the frequency response matrix having a plurality of inputs and a plurality of outputs and the resonator having a plurality of coupled resonance modes; fitting a structural mechanics model of the resonator to the frequency response matrix to identify parameters of the structural mechanics model including mass, damping, and stiffness matrices and mass, damping, and stiffness sensitivity to mass perturbation; and estimating an amount of the mass perturbation to the resonator to improve degeneracy of the plurality of coupled resonance modes based on the identified mass and the stiffness matrices and the mass, damping, and stiffness sensitivity to mass perturbation to the mass perturbation; wherein the parameters of the structural mechanics model further include an R matrix reflecting signal conditioning and non-coloration in operating the resonator.