Analysis of Nonuniform Transmission Lines With a Perturbation Technique in Time Domain

2020 ◽  
Vol 62 (2) ◽  
pp. 542-548
Author(s):  
Yin Zhang ◽  
Cheng Liao ◽  
Rui Huan ◽  
Yuping Shang ◽  
Haijing Zhou
Keyword(s):  
Transmission Lines ◽  
Time Domain ◽  
Perturbation Technique ◽  
Nonuniform Transmission Lines

DISCRETE TIME-DOMAIN ANALYSIS OF NONUNIFORM LOSSLESS COUPLED TRANSMISSION LINES

2005 ◽  
Vol 14 (05) ◽  
pp. 973-986 ◽  
Author(s):  
GHOLAMALI REZAI-RAD ◽  
AHMAD CHELDAVI
Keyword(s):  
Discrete Time ◽  
Transmission Lines ◽  
Time Domain ◽  
Continuous Time ◽  
Linear Filter ◽  
Ordinary Wave ◽  
Constant Matrix ◽  
Band Limited ◽  
Nonuniform Transmission Lines ◽  
Time Linear

In this paper, a discrete time-domain method to analyze multiple coupled nonuniform lossless transmission lines has been presented. The solution is based on the steplines approximation of the nonuniform transmission lines and quasi-TEM assumptions. Using steplines approximation, the system of coupled nonuniform transmission lines is decomposed into a large number of coupled steplines with different characteristics. Then, using modal decomposition method, the system of coupled partial differential equations for each step is decomposed to a set of uncoupled ordinary wave equation. Using time-domain approach and invoking the boundary condition at the discontinuities of the adjacent steps, each step is modeled as continuous time linear filter characterized by a time-domain transfer matrix. Finally, this continuous time linear filter (for band limited input signal), is modeled as a discrete time-domain linear filter with constant matrix coefficients using sampling theorem. The method proposed here can be implemented using general purpose software packages like MATLAB.

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