Analysis of Nonuniform and Nonlinear Transmission lines via Frequency-Domain Technique

Yuichi TANJI; Yoshifumi NISHIO; Akio USHIDA

Analysis of Nonuniform and Nonlinear Transmission lines via Frequency-Domain Technique

Yuichi TANJI, Yoshifumi NISHIO, Akio USHIDA

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There are many kinds of transmission lines such as uniform, nonuniform and nonlinear ones terminated by linear and/or nonlinear subnetworks. The nonuniform transmission lines are crucial in integrated circuits and printed circuit boards, because these circuits have complex geometries and layout between the multi layers, and most of the transmission lines possess nonuniform characteristics. On the other hand, the nonlinear transmission line have been focused in the fields of communication and instrumentation. Here, we present a new numerical method for analyzing nonuniform and nonlinear transmission lines with linear and/or nonlinear terminations. The waveforms at any points along the lines are described by the Fourier expansions. The partial differential equations representing the circuit are transformed into a set of ordinary differential equations at each frequency component, where for nonlinear transmission line, the perturbation technique is applied. The method is efficiently applied to weakly nonlinear transmission line. The nonuniform transmission lines terminated by a nonlinear subnetwork are analyzed by hybrid frequency-domain method. The stability for stiff circuit is improved by introducing compensation element. The efficiency of our method is illustrated by some examples.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E79-A No.9 pp.1486-1494

Publication Date: 1996/09/25

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Type of Manuscript: PAPER

Category: Nonlinear Problems

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Yuichi TANJI, Yoshifumi NISHIO, Akio USHIDA, "Analysis of Nonuniform and Nonlinear Transmission lines via Frequency-Domain Technique" in IEICE TRANSACTIONS on Fundamentals, vol. E79-A, no. 9, pp. 1486-1494, September 1996, doi: .
Abstract: There are many kinds of transmission lines such as uniform, nonuniform and nonlinear ones terminated by linear and/or nonlinear subnetworks. The nonuniform transmission lines are crucial in integrated circuits and printed circuit boards, because these circuits have complex geometries and layout between the multi layers, and most of the transmission lines possess nonuniform characteristics. On the other hand, the nonlinear transmission line have been focused in the fields of communication and instrumentation. Here, we present a new numerical method for analyzing nonuniform and nonlinear transmission lines with linear and/or nonlinear terminations. The waveforms at any points along the lines are described by the Fourier expansions. The partial differential equations representing the circuit are transformed into a set of ordinary differential equations at each frequency component, where for nonlinear transmission line, the perturbation technique is applied. The method is efficiently applied to weakly nonlinear transmission line. The nonuniform transmission lines terminated by a nonlinear subnetwork are analyzed by hybrid frequency-domain method. The stability for stiff circuit is improved by introducing compensation element. The efficiency of our method is illustrated by some examples.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e79-a_9_1486/_p

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@ARTICLE{e79-a_9_1486,
author={Yuichi TANJI, Yoshifumi NISHIO, Akio USHIDA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Analysis of Nonuniform and Nonlinear Transmission lines via Frequency-Domain Technique},
year={1996},
volume={E79-A},
number={9},
pages={1486-1494},
abstract={There are many kinds of transmission lines such as uniform, nonuniform and nonlinear ones terminated by linear and/or nonlinear subnetworks. The nonuniform transmission lines are crucial in integrated circuits and printed circuit boards, because these circuits have complex geometries and layout between the multi layers, and most of the transmission lines possess nonuniform characteristics. On the other hand, the nonlinear transmission line have been focused in the fields of communication and instrumentation. Here, we present a new numerical method for analyzing nonuniform and nonlinear transmission lines with linear and/or nonlinear terminations. The waveforms at any points along the lines are described by the Fourier expansions. The partial differential equations representing the circuit are transformed into a set of ordinary differential equations at each frequency component, where for nonlinear transmission line, the perturbation technique is applied. The method is efficiently applied to weakly nonlinear transmission line. The nonuniform transmission lines terminated by a nonlinear subnetwork are analyzed by hybrid frequency-domain method. The stability for stiff circuit is improved by introducing compensation element. The efficiency of our method is illustrated by some examples.},
keywords={},
doi={},
ISSN={},
month={September},}

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TY - JOUR
TI - Analysis of Nonuniform and Nonlinear Transmission lines via Frequency-Domain Technique
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1486
EP - 1494
AU - Yuichi TANJI
AU - Yoshifumi NISHIO
AU - Akio USHIDA
PY - 1996
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E79-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 1996
AB - There are many kinds of transmission lines such as uniform, nonuniform and nonlinear ones terminated by linear and/or nonlinear subnetworks. The nonuniform transmission lines are crucial in integrated circuits and printed circuit boards, because these circuits have complex geometries and layout between the multi layers, and most of the transmission lines possess nonuniform characteristics. On the other hand, the nonlinear transmission line have been focused in the fields of communication and instrumentation. Here, we present a new numerical method for analyzing nonuniform and nonlinear transmission lines with linear and/or nonlinear terminations. The waveforms at any points along the lines are described by the Fourier expansions. The partial differential equations representing the circuit are transformed into a set of ordinary differential equations at each frequency component, where for nonlinear transmission line, the perturbation technique is applied. The method is efficiently applied to weakly nonlinear transmission line. The nonuniform transmission lines terminated by a nonlinear subnetwork are analyzed by hybrid frequency-domain method. The stability for stiff circuit is improved by introducing compensation element. The efficiency of our method is illustrated by some examples.
ER -