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Waveform relaxation solution of the ABCD matrices of nonuniform transmission lines for transient analysis

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2 Author(s)
Jun-Fa Mao ; Dept. of Electron. Eng., Jiao Tong Univ., Shanghai, China ; Zheng-Fan Li

In this paper, the transient response of arbitrarily terminated nonuniform transmission lines with frequency-dependent parameters is analyzed by the introduction of ABCD matrices and the waveform relaxation (WR) method. A differential equation describing the ABCD matrices of nonuniform transmission lines is derived and then solved efficiently with the WR method. A convergence theorem is proven, according to which the nonuniform transmission line is segmented into a number of cascaded subnetworks to increase the convergence speed. An example of nonuniform transmission system is analyzed. The results are comparable to that of the convolution-characteristics method

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Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on  (Volume:13 ,  Issue: 11 )