FUNDAMENTAL RELATIONSHIPS OF THE NUMERICAL LAPLACE-PADE TRANSFORMATION AND ITS STEPWISE MODIFICATION
New features of the Laplace-Pade numerical inverse transformation are studied, which define the effective application region of the method of the convergence radius as a function of the pole Q-factor of exponential polynomials. Applica-tion algorithms are substantiated for the complex envelope method to the transients’ analysis in selective circuits of BPF, LFF and HFF types. This method effectiveness is confirmed at studying of responses of the Butherworth, Chebyshev, and Bessel band-pass filters including up to 24-order (k = 2 - 12 for LF prototypes) and at special function tabulation. The stepwise method modification is developed taking into consideration the complex envelope method application.