Jf. Mao et Zf. Li, WAVE-FORM RELAXATION SOLUTION OF THE ABCD MATRICES OF NONUNIFORM TRANSMISSION-LINES FOR TRANSIENT ANALYSIS, IEEE transactions on computer-aided design of integrated circuits and systems, 13(11), 1994, pp. 1409-1412
In this paper, the transient response of arbitrarily terminated nonuni
form transmission lines with frequency-dependent parameters is analyze
d by introduction of ABCD matrices and waveform relaxation (WR) method
. A differential equation describing the ABCD matrices of nonuniform t
ransmission lines is derived and then solved efficiently with the WR m
ethod. A convergence theorem is proven, according to which the nonunif
orm transmission line is segmented into a number of cascaded subnetwor
ks to increase the convergence speed. An example of nonuniform transmi
ssion system is analyzed. The results are comparable to that of the co
nvolution-characteristics method.