DISCRETE SIMULATION OF UNIFORM TRANSMISSION-LINES BY MULTIDIMENSIONALDIGITAL-FILTERS

Recently, a new method has been presented for the discrete simulation of multidimensional systems, which are described by linear partial dif ferential equations with constant coefficients. It is based on methods customary in linear systems theory and digital signal processing and uses a frequency-domain representation of the continuous system to be simulated. A proper choice of functional transformations for each inde pendent variable allows us to treat the influence of initial condition s, boundary conditions and excitation functions separately by suitable transfer functions. From these, corresponding discrete transfer funct ions and the structure of a discrete system for the simulation of the continuous problem are derived. The application of this method to wave propagation problems on uniform transmission lines is presented here. At first, the continuous problem is characterized by transfer functio ns; then the derivation of a discrete system is shown, and finally, so me simulation results and a comparison with other methods are given.