How to extract distributed circuit parameters from the scattering parameters of a transmission line

How to extract distributed circuit parameters from the scattering parameters of a transmission line
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如何从传输线的散射参数中提取分布式电路参数

DOI:
10.1109/arftg.2017.8255872
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发表时间:
2017
期刊:
2017 90th ARFTG Microwave Measurement Symposium (ARFTG)
影响因子:
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通讯作者:
Christian J. Long
Christian J. Long
中科院分区:
--
文献类型:
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作者:
N. Orloff;N. Popovic;Jasper A. Drisko;Angela C. Stelson;Charles A. E. Little;J. Booth;J. Mateu;Christian J. Long

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分布式电路参数以分布电阻、电感、电容和电导的形式对给定传输线的传输和反射进行参数化,这些参数是单位长度的频率相关量。虽然有用于提取分布式电路参数的分析模型,但当参数接近分支切割时,这些模型作为频率的函数是不连续的。在这里,我们开发了一种非线性最小二乘回归算法,可以准确提取分布式电路参数。与现有方法和有限元模型相比,我们的算法成功地提取了作为频率函数的分布式电路参数,同时对这些相位条件不太敏感。这种算法对于理解如何去嵌入传输线以及如何提取电路中使用的材料的电特性非常有用。
Distributed circuit parameters parameterize the transmission and reflection off a given transmission line in terms of a distributed resistance, inductance, capacitance, and conductance, which are per-unit-length, frequency-dependent quantities. While there are analytical models for extracting the distributed circuit parameters, these models are discontinuous as a function of frequency when the argument approaches a branch cut. Here, we develop a nonlinear least-square regression algorithm that accurately extracts the distributed circuit parameters. Compared to existing approaches and finite element models, our algorithm successfully extracts the distributed circuit parameters as a function of frequency, all while being less sensitive to these phase conditions. Such an algorithm is useful for understanding how to deembed transmission lines, and how to extract electrical properties of the materials used in a circuit.