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1983•Japanese Journal of Applied PhysicsOpen access

A Method for Measuring the Equivalent Circuit Elements for a Piezo-Resonator

Kazuhiko Terunuma, Susumu Nishigaki

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Abstract

This paper presents a new method for measuring the equivalent circuit elements of a piezo-resonator. This method is based on the fact that the sum of the squares of the difference between the input free admittance and the calculated admittance can be minimized by the method of the least squares. This new method is applicable even for resonators with low mechanical Q and small figure of merit M in which the plot of admittance Y i against conductance G and susceptance B is distorted.

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What this paper is about

This paper presents a new method for measuring the equivalent circuit elements of a piezo-resonator. This method is based on the fact that the sum of the squares of the difference between the input free admittance and the calculated admittance can be minimized by the method of the least squares. This new method is applicable even for resonators with low mechanical Q and small figure of merit M in which the plot of admittance Y i against conductance G and susceptance B is distorted.

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Available abstract

This paper presents a new method for measuring the equivalent circuit elements of a piezo-resonator. This method is based on the fact that the sum of the squares of the difference between the input free admittance and the calculated admittance can be minimized by the method of the least squares. This new method is applicable even for resonators with low mechanical Q and small figure of merit M in which the plot of admittance Y i against conductance G and susceptance B is distorted.

Key concepts: Susceptance, Admittance, Resonator, Figure of merit, Equivalent circuit, Mathematics, Conductance, Mathematical analysis

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