Computational Algorithms for Reducing Rational Transfer Functions’ Order

Model Order Reduction for Systems with Non-Rational Transfer Function Arising in Computational Electromagnetics

We consider model order reduction of a system described by a nonrational transfer function. The systems under consideration result from the discretization of electromagnetic systems with surface losses [1]. In this problem, the frequency parameter s appears nonlinearly. We interpret the nonlinear functions containing s as parameters of the systems and apply parametric model order reduction (PMO...

Algorithms for Indeenite Summation of Rational Functions in Maple Algorithms for Indeenite Summation of Rational Functions in Maple

Transfer Function Realization of Rational Inner Functions

My talk will be based on paper " Synthesis of two-dimensional loss-less m-ports with prescribed scattering matrix " by A. Kummert.

Rational transfer functions with minimum timebandwidth products

Transfer functions with finite zeros giving the minimum product of the impulse response duration and the frequency bandwidth are considered. The impulse response spread is characterized by the higher order moments. For the frequency spread measure, the second order moment is used. Minimizing products of the moments, causal systems with the largest energy concentration in time for a given bandwi...

Rational Approximation of Transfer Functions for Non-Negative EPT Densities

A stable Exponential-Polynomial-Trigonometric (EPT) probability density function is fitted to a large set of financial data. The class of EPT functions have a strictly proper continuous time rational transform. An isometry is used to derive its discrete time transfer function, also rational. This function can be written in terms of Fourier coefficients which are used as inputs to RARL2. A minim...