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Synthesis of coupled transmission lines

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3 Author(s)
Jun-Fa Mao ; Electron. Eng. Dept., Jiao Tong Univ., Shanghai, China ; Wing, O. ; Chang, Fung-Yuel

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)-0.5L and the modified resistance matrix (LC)-0.5R 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

Published in:

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on  (Volume:44 ,  Issue: 4 )