Transient simulation of frequency-dependent nonuniform coupled lossy transmission lines

In this paper, we present an efficient method of simulating the transient response of frequency-dependent nonuniform lossy coupled transmission lines, which are terminated in active nonlinear loads. The transient simulation is carried out by applying the recursive convolution integration with impulse response functions derived from the orthogonal expansions of the transmission-line characteristic impedance and wave propagation functions 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