A technique for extracting the poles and residues of a system directly from its transient response

A novel approach for systematically deriving the complex poles and residues of a structure from a set of time-domain data is presented. The method is based on Prony's algorithm which involves the inversion of two matrices and a solution of the zeros of an
n
th degree polynomial,
n
being the number of desired poles. Two numerical examples are presented and several numerical advantages of this method are discussed.