Iterative method for characterizing the frequency dependence of the linear properties of an electrical component

摘要

A method and device characterize linear properties of an electrical component having n>1 ports. The linear properties of the component are described in a matrix relating a voltage applied to the ports to a current through the ports. A frequency dependence of the matrix is approximated to preserve eigenvalues of the matrix by a pole-residual model. The method includes: (a) obtaining a set of values of the matrix at discrete frequencies, and obtaining eigenvalues and eigenvectors for each value; (b) fitting a set of vector equations to the eigenvalues and eigenvectors with a first set of pole frequencies; and (c) calculating a second set of pole frequencies by a vector fitting process for all modes of an element of the matrix. Steps (b) and (c) are repeated using the second set of pole frequencies in step (c) in a subsequent step (b) until a stop condition is met.