Title :
Analysis of interconnects with frequency-dependent parameters by differential quadrature method
Author :
Tang, Min ; Mao, Jun-Fa ; Li, Xiao-Chun
Author_Institution :
Dept. of Electron. Eng., Shanghai Jiaotong Univ., China
Abstract :
This letter presents an efficient numerical method for the transient analysis of interconnects with frequency-dependent parameters. The development of interconnects model starts from frequency-domain Telegrapher´s equations, and the time-domain equations including convolutions are obtained by inverse Laplace transform. Then, the differential quadrature method (DQM) approximates them to a set of ordinary differential equations. The numerical convolution items are calculated by recursive algorithm, which leads to high efficiency of this method. In addition, the model does not use any restrictive assumptions on the frequency dependence of interconnects parameters. A numerical example is presented to demonstrate the accuracy and efficiency of the proposed method.
Keywords :
Laplace transforms; approximation theory; difference equations; frequency-domain analysis; integrated circuit interconnections; network analysis; time-domain analysis; transient analysis; convolutions; differential quadrature method; frequency-dependent parameters; frequency-domain Telegrapher equations; interconnect analysis; interconnects model; inverse Laplace transform; numerical convolution; ordinary differential equations; recursive algorithm; time-domain equations; transient analysis; Differential equations; Finite difference methods; Frequency; Function approximation; Integrated circuit interconnections; Laplace equations; Testing; Time domain analysis; Transient analysis; Transmission lines; Differential quadrature method (DQM); frequency-dependent parameters; interconnects; recursive algorithm;
Journal_Title :
Microwave and Wireless Components Letters, IEEE
DOI :
10.1109/LMWC.2005.859982