Synthesis of coupled transmission lines

In this paper an important property of the time responses of coupled transmission lines is proven. Based on this property coupled transmission lines are synthesized from the given near-end and far-end time-domain responses. The inductance matrix L and capacitance matrix C of uniformly coupled lossle...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. 1, Fundamental theory and applications Fundamental theory and applications, 1997-04, Vol.44 (4), p.327-337
Main Authors: Jun-Fa Mao, Wing, O., Fung-Yuel Chang
Format: Article
Language:English
Subjects:
Applied sciences
Couplings
Electric, optical and optoelectronic circuits
Electronics
Exact sciences and technology
Frequency domain analysis
Frequency measurement
Integrated circuit interconnections
Pulse measurements
Theoretical study. Circuits analysis and design
Time domain analysis
Transmission line matrix methods
Transmission line measurements
Transmission lines
Very large scale integration
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Summary:In this paper an important property of the time responses of coupled transmission lines is proven. Based on this property coupled transmission lines are synthesized from the given near-end and far-end time-domain responses. The inductance matrix L and capacitance matrix C of uniformly coupled lossless lines can be obtained from the responses without any approximation. As for uniform lossy lines, the impedance matrix (LC)/sup -0.5/L and the modified resistance matrix (LC)/sup -0.5/R are obtained by the characteristics method, and in the special case that LC=CL, the L, C, and R matrices can be derived. An equivalent time-domain model is developed by the generalized characteristics method for nonuniformly coupled lossless and lossy lines from the given near-end responses. Several synthesis examples are given to highlight the contributions of this paper.
ISSN:1057-7122
1558-1268
DOI:10.1109/81.563622