Transient simulation of nonuniform coupled lossy transmission lines characterized with frequency-dependent parameters. II. Discrete-time analysis

For Pt.I, see ibid., vol.39, no.8, p.585-603 (1992). An efficient discrete-time method is presented for simulating the transient response of nonuniform coupled transmission lines that are characterized by frequency-dependent parameters. The discrete-time transient simulation is carried out using a time-varying characteristic model converted from the generalized characteristic model derived in Part I. The time-varying model is constructed of two disjoint time-varying resistive networks connected to Norton/Thevenin current/voltage sources, which are generated by recursive convolution integration with the terminal currents/voltages and the Norton/Thevenin sources as the excitation. The impulse response functions are derived from the orthonormal expansion of the characteristic immittance functions and the exponential wave propagation functions of the coupled transmission-line system. Transient responses of uniform and nonuniform coupled transmission lines with and without skin-effect parameters are simulated. The accuracy and efficiency of the discrete-time analysis are substantial