Simulation of Dynamic Systems by Combined Methods of Prony-Laplace-Pade and Matrix Beams

Abstract

It is shown that the Prony and matrix beam methods of exponential approximation, which recover the function image basing on a time-solution (an original), and the numerical method of the Laplace-Pade inverse transformation can be considered as a pair of direct and inverse Laplace numerical transformation. The simulation examples of dynamic systems by the combined Prony-Laplace-Pade and matrix beam methods in the time and frequency domains are presented, which are typical for tasks of the circuit theory and radio-electronics. In particular, radio pulse passage with the intra-pulse angular modulation is investigated; the systems with phase and frequency shift keying are studied. The matrix beam method is used to lower the approximation order of circuit functions with a given error value.