Method of measuring the parameters of a resonator

Details Method of measuring the parameters of a resonator Method of measuring the parameters of a resonator

1987-03-16

1988-11-01

Eisenzopf, Reinhard J.

Electricity: measuring and testing

Measuring, testing, or sensing electricity, per se

Frequency of cyclic current or voltage

324 56, 324 58R, G01R 2702

Patent

active

047822813

ABSTRACT:
The method of measuring a resonator such as a quartz crystal is to calculate its admittance from the voltage transfer function of a suitable network incorporating the resonator. This admittance can be expressed in the form of a circle. Two initial measurements are taken from which an approximate circle is calculated. This circle is used to calculate the optimum measurement positions for the subsequent curve fitting routines, those positions being symmetrically placed around the series resonance. Each measurement is an average of a number of samples. The deviation from this average as well as the deviation from the circle defined by previous measurements is used to monitor the measurement. All the parameters are calculated by least square curve fitting of the first the admittance circle and then the variation of phase around the circle with frequency.

REFERENCES:
patent: 3832631 (1974-08-01), Koga et al.
patent: 4093914 (1978-06-01), Peppiate et al.
patent: 4158805 (1979-06-01), Ballato

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