Transient simulation of frequency-dependent nonuniform coupled lossy transmission lines with double orthogonal expansions and recursive convolution integrations

The most efficient method of simulating the transient response of frequency-dependent nonuniform lossy coupled transmission lines which are terminated in active nonlinear loads is presented. The transient simulation is carried out by applying recursive convolution integration with the impulse response functions derived from the orthogonal expansions of the transmission-line characteristics in both time and spatial domains. Transient responses of nonuniform coupled transmission lines with skin-effect parameters are simulated for illustrations. The accuracy and efficiency of the discrete-time analysis are substantiated with exact analytical solutions