Power Optimization of Multi-level Circuits Utilizing Circuit Symmetries

Abstract

A time-domain full-wave method for the extraction of broadband equivalent circuit parameters of symmetrical coupled interconnection lines on chips is presented. This method is based on the two-dimensional finite-difference time-domain method. After determination of the even and odd mode propagation constant gamma and characteristic impedance Z(c) of the lines, the RLGC matrices per unit length can be obtained. Many techniques are proposed and used during the time-domain analysis to improve the efficiency. The circuit parameters extracted can be inserted into circuit simulation software to investigate the time-domain responses of high-speed integrated circuits on chips. The reliability of this method is verified by its applications to typical problems.