Frequency-dependent RLGC extraction for a pair of coupled transmission lines using measured four-port S-parameters

Author(s):  
Dong-Ho Han ◽  
Joong-Ho Kim ◽  
H. Braunisch ◽  
T.G. Ruttan
1991 ◽  
Vol 02 (04) ◽  
pp. 319-353 ◽  
Author(s):  
FUNG-YUEL CHANG ◽  
OMAR WING

The method of characteristics is generalized to simulate the transient response of coupled transmission lines, which are characterized with frequency-dependent parameters. The discrete-time transient simulation is carried out from the equivalent decoupled transmission lines with an arbitrary set of characteristic impedances. The method eliminates the time-consuming convolution integration and has been adapted for iterative waveform relaxation simulation using the Fast Fourier Transform (FFT) for reduction of simulation cost. Examples are given to substantiate the accuracy and the efficiency of both discrete-time and waveform relaxation simulations.


Electronics ◽  
2021 ◽  
Vol 10 (14) ◽  
pp. 1710
Author(s):  
Zhimin Guan ◽  
Peng Zhao ◽  
Xianbing Wang ◽  
Gaofeng Wang

An advanced method of modeling radio-frequency (RF) devices based on a deep learning technique is proposed for accurate prediction of S parameters. The S parameters of RF devices calculated by full-wave electromagnetic solvers along with the metallic geometry of the structure, permittivity and thickness of the dielectric layers of the RF devices are used partly as the training and partly as testing data for the deep learning structure. To implement the training procedure efficiently, a novel selection method of training data considering critical points is introduced. In order to rapidly and accurately map the geometrical parameters of the RF devices to the S parameters, deep neural networks are used to establish the multiple non-linear transforms. The hidden-layers of the neural networks are adaptively chosen based on the frequency response of the RF devices to guarantee the accuracy of generated model. The Adam optimization algorithm is utilized for the acceleration of training. With the established deep learning model of a parameterized device, the S parameters can efficiently be obtained when the device geometrical parameters change. Comparing with the traditional modeling method that uses shallow neural networks, the proposed method can achieve better accuracy, especially when the training data are non-uniform. Three RF devices, including a rectangular inductor, an interdigital capacitor, and two coupled transmission lines, are used for building and verifying the deep neural network. It is shown that the deep neural network has good robustness and excellent generalization ability. Even for very wide frequency band (0–100 GHz), the maximum relative error of the coupled transmission lines using the proposed method is below 3%.


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