Efficient extraction of equivalent circuit parameters for interconnect structures based on the Battle‐Lemarie scalet in the method of moments

Abstract

AbstractBattle‐Lemarie father wavelet is used as a basis function in the method of moments (MoM) for solving interconnect and packaging problems and extracting circuit parameters needed in signal integrity. As the Battle‐Lemarie father wavelet or scalet is continuous, symmetric, and much more smooth compared with other wavelets like Franklin, Daubechies, and Coifman wavelets, it is more suitable as a basis function in the MoM for the electromagnetic modeling and simulation of interconnect structures because the unknown functions are involved in derivative operators in the integral equations. Also, the Battle‐Lemarie scalet is easier to construct and implement compared with multiwavelets, which are also continuous and smooth; hence, it requires less computational costs. The numerical examples for the circuit parameter extraction of single trapezoidal interconnect and asymmetric dual interconnects are presented to demonstrate the robustness of the scheme. Copyright © 2010 John Wiley & Sons, Ltd.