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Curve fitting of frequency response functions by use of pole-zero models for the loss factor measurement

机译:使用零极点模型进行频率响应函数的曲线拟合,以进行损耗因子测量

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摘要

References(8) Cited-By(1) For the loss factor measurement, the half-power-width method and curve fitting method are used. In this paper, two curve fitting methods based on pole-zero models are proposed. The first method is to express the measured and model frequency response functions in decibels and the parameters of the model are changed so that the model response gets close enough to the measured response by the differential iteration method. The second method is to take the distance of the two responses on the complex plane and normalize it to the amplitude of the measured frequency response function. Then, the normalized distance is minimized by the differential iteration method. These two methods have the following features: (1) They can fit the resonance and anti-resonance characteristics simultaneously. (2) They can fit frequency response functions with large loss factors to which the half-power-width method are not applicable. (3) The minimum required numbers of measurement points within the half-power-width for these methods are roughly 1/30 of the number necessary for the half-power-width method.
机译:参考文献(8)Cited-By(1)对于损耗因子的测量,使用了半功率宽度法和曲线拟合法。本文提出了两种基于零极点模型的曲线拟合方法。第一种方法是用分贝表示测量的和模型的频率响应函数,并更改模型的参数,以便通过微分迭代方法使模型的响应与测量的响应足够接近。第二种方法是获取复平面上两个响应的距离,并将其归一化为测得的频率响应函数的幅度。然后,通过微分迭代方法将标准化距离最小化。这两种方法具有以下特点:(1)它们可以同时拟合共振和反共振特性。 (2)它们适合具有大损耗因子的频率响应函数,而半功率宽度法不适用于这些函数。 (3)这些方法在半功率宽度内最少需要的测量点数量大约是半功率宽度方法所需数量的1/30。

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