Title :
Modeling of nonuniform interconnects by using differential quadrature method
Author :
Xu, Qinwei ; Mazumder, Pinaki ; Bhattacharya, Mayukh
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA
Abstract :
This paper discusses an efficient numerical approximation technique, called the differential quadrature method (DQM), which has been adapted to model lossy nonuniform interconnects. DQM discretizes Telegrapher´s equations into algebraic equations, which can be represented by compact equivalent circuit models, whose port voltages and currents are related by rational formulas in the frequency domain. Although the rationalization process in DQM is comparable with the Pade approximation of AWE, the derivation of DQM modeling avoids the process of moment-generation and moment-matching. The differential quadrature method guarantees stability. Numerical experiments show that DQM-based modeling leads to high accuracy as well as high efficiency
Keywords :
VLSI; circuit CAD; equivalent circuits; integrated circuit interconnections; integrated circuit modelling; Telegrapher´s equations; algebraic equations; differential quadrature method; equivalent circuit models; lossy nonuniform interconnects; nonuniform interconnect modelling; numerical approximation technique; port voltages; rational formulas; stability; CMOS technology; Equations; Frequency domain analysis; Integrated circuit interconnections; Integrated circuit modeling; RLC circuits; Semiconductor device modeling; Transmission line matrix methods; Transmission line theory; Transmission lines;
Conference_Titel :
VLSI Design, 2001. Fourteenth International Conference on
Conference_Location :
Bangalore
Print_ISBN :
0-7695-0831-6
DOI :
10.1109/ICVD.2001.902680