一种基于最小二乘法的石英晶体微分天平的谐振频率检测算法

doi:10.11944/j.issn.1000-0518.2019.01.180321

摘要/Abstract

摘要：

阻抗型石英晶体微天平,具有适用范围广、获取参数多等优点,但通过阻抗分析方法获取石英晶体谐振频率耗时较长,实时性差。针对这一问题,对采用最小二乘法进行二次拟合的计算过程进行了深入的分析,对其中的关键步骤进行了改进,提出了一种适用于石英晶体谐振频率测量的快速检测算法,通过对测得数据的坐标系进行调整,降低了拟合过程中的数据运算量。经实验验证,与传统拟合算法相比,该算法计算谐振频率的效率提升4倍,并且得到了更高的计算精度,具有很高的实用价值。

关键词: 石英晶体微天平, 最小二乘法法, 谐振频率

Abstract:

The impedance analysis quartz crystal microbalance has many advantages such as wide application range and more parameters, but the resonance frequency of the quartz crystal obtained by the impedance analysis method takes a long time and has poor real-time performance. In response to this problem, we analyzed the process of data fitting when using the least squares method and proposed a fast detection method for quartz crystal resonant frequency measurement. By adjusting the data coordinate system, the calculation time used for the fitting process reduced obviously. The new method was verified by experiments, compared with the traditional least squares method, the efficiency of the algorithm for calculating the resonant frequency was improved by four times, and the calculation accuracy was higher. It means the new method has high practical value.

Key words: quartz crystal microbalance, least squares, resonant frequency

刘振邦, 马英明, 王伟, 韩冬雪, 包宇, 董献堆. 一种基于最小二乘法的石英晶体微分天平的谐振频率检测算法[J]. 应用化学, 2019, 36(1): 114-119.

LIU Zhenbang, MA Yingming, WANG Wei, HAN Dongxue, BAO Yu, DONG Xiandui. A Least Square Estimation Based Quartz Crystal Microbalance Resonant Frequency Detection Method[J]. Chinese Journal of Applied Chemistry, 2019, 36(1): 114-119.

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