Increasing the Precision of Measurements of Resonance Characteristics

Abstract

A method of increasing the precision with which the resonance frequency is measured and the quality factor of different types of resonators are considered. The result is achieved by approximating the experimental characteristic of the resonator by a generalized resonance function. The resonance function takes into account the direct nonresonant transit of a signal from the input of a resonator to its output and contains parameters that are determined in the course of the approximation. The method makes possible a high degree of precision of measurements of the resonance parameters along an experimental resonance curve, including with distortions. Results are presented from measurements of the resonance frequency and natural quality factor by the ordinary method and by the proposed method. The approach may be applied to the measurement of the characteristics of electromagnetic and acoustic resonators in gas acoustic and dielectric thermometers.