Admittance-parameter estimator for a piezoelectric resonator in

Details Admittance-parameter estimator for a piezoelectric resonator in Admittance-parameter estimator for a piezoelectric resonator in

1993-09-24

1995-08-22

Voeltz, Emanuel T.

Boots, shoes, and leggings

364485, 364495, 324600, 324727, 324 7621, 324603, G01R 2316, G01R 2700

Patent

active

054446414

ABSTRACT:
Equivalent circuit parameters of a piezoelectric resonator are measured in order to precisely control the amplitude and/or frequency of oscillation of an oscillator including the resonator, or to compensate for variations in the amplitude and/or frequency of oscillation. Significant variations are caused by shunt capacitance, and to a lesser degree, series resistance. The equivalent circuit parameters are measured by exciting the resonator at a plurality of frequencies, measuring responses of the resonator at the frequencies, including a complex response at one of the frequencies, and determining a value of the shunt capacitance from the responses. Preferably, the resonator is simultaneously and continuously excited at three different frequencies, one of which is approximately the resonant frequency of the resonator. The complex responses are measured by complex demodulation, and the circuit parameters are computed from the responses by solving simultaneous equations resulting by setting each complex response equal to the admittance of the equivalent circuit at each different frequency. In this fashion, the equivalent circuit parameters are measured periodically during continuous operation of the oscillator for correction or compensation of the amplitude and/or frequency of oscillation.

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