SYNTHESIS OF COUPLED TRANSMISSION-LINES

In this paper an important property of the time responses of coupled t ransmission lines is proven, Based on this property coupled transmissi on lines are synthesized from the given near-end and far end time-doma in responses, The inductance matrix L and capacitance matrix C of unif ormly coupled lossless lines can be obtained from the responses withou t any approximation, As for uniform lossy lines, the impedance matrix (LC)(-0.5)L and the modified resistance matrix (LC)(-0.5)R are obtaine d 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 mo del is developed by the generalized characteristics method for nonunif ormly coupled lossless and lossy lines from the given near-end respons es, Several synthesis examples are given to highlight the contribution s of this paper.