AN EXTENDED DELAY-RATIONAL MACROMODEL FOR ELECTROMAGNETIC INTERFERENCE ANALYSIS OF MIXED SIGNAL CIRCUITS

Abstract

This paper presents an extended delay-rational macro- model for electromagnetic interference analysis of mixed signal circuits. Firstly, an S-parameter matrix based delay-rational macromodel of the associated microwave network or system is established. Then, we extend the macromodel to include the external electromagnetic inter- ference efiects. The forced waves induced by the excitation flelds are computed using full-wave method and treated as additional equivalent sources. Next, the macromodel is modifled to embed the additional sources at each corresponding port. Finally, the resulting macromodel is converted into equivalent circuit for circuit analysis with the cor- responding linear and non-linear port terminations. Several examples are computed by using the proposed method and the numerical results are compared with those obtained by 3-D FDTD method only. They are all in a good agreement that validate this method. With the rapidly increasing operating frequencies, circuit densities and complexity of electromagnetic environment, the external incident fleld or radiation e-ciency of conducting traces can seriously limit the overall performance of electronic system. If not considered during early design stages, the interference can cause logic glitches or distort an analog signal that makes it fail to meet the required speciflcations. So, accurate prediction of the electromagnetic interference (EMI) is important for validation of electronic systems. Various techniques have been proposed to analyze these EMI coupling problems. The flrst one is based on transmission line