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-  2018 

基于零相位频率的晶体谐振器等效电参数测量方法
Measurement of Quartz Crystal Resonator Parameters Based on the Precise Derivation of Zero Phase Frequency

DOI: 10.3969/j.issn.1001-0548.2018.04.012

Keywords: 晶体谐振器,非线性方程,石英晶体微天平,谐振频率,零相位频率

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Abstract:

晶体谐振器等效参数的测量方法很多,工程上通常利用谐振频率和负载谐振频率来求解等效参数。该文推导了谐振频率、负载谐振频率、反谐振频率和负载反谐振频率的精确形式,并以此为基础求解晶体谐振器的等效参数。ADS仿真实验表明,该方法在理论上正确。利用相位-频率曲线在谐振点与反谐振点的导数构建非线性方程组,解决实测实验中的频率随机游动问题。采用二维搜索法求解非线性方程组。实测结果表明,该方法测量的等效参数和供应商提供的等效参数基本一致。该方法没有采用近似计算,不仅适用于高Q值晶体谐振器,也适用于低Q值谐振器,因此,该方法也能应用于传感器领域,如温度传感器、石英晶体微天平等。

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