Pole residue equivalent system solver (PRESS)

Frequency-domain modeling and simulation of systems is performed widely today; however, time-domain transient simulation of systems often requires synthesis of network S/Y/Z-Parameters as lumped equivalent circuits. In turn, circuit synthesis requires determination of the set of poles and residues implied by the network parameters. This paper presents a novel iterative method for finding an equivalent set of poles and residues of a system from its discrete frequency domain response. Each iteration chooses up to 3 consecutive samples from the given response to find a local fit; such iterations are repeated until the sum of all local fits matches the given response within a specified target error, across the entire designated bandwidth. The proposed method is demonstrated for two test cases: 1) microstrip and 2) power planes. PRESS has extensive applications in the modeling and simulation of signal and power integrity structures; such as, high-speed signal and power delivery interconnect networks of electronic packages and printed circuit boards.