Title :
Comprehensive frequency dependent interconnect extraction and evaluation methodology
Author :
Jiang, Rong ; Chen, Charlie Chung-Ping
Author_Institution :
Electr. & Comput. Eng., Wisconsin Univ., Madison, WI, USA
Abstract :
This paper present a wide frequency range interconnect extraction and analysis methodology. First, an improved reluctance-based extraction algorithm is proposed to generate compact interconnect models at some sample frequencies. Then, DLSCF (discrete least square curve fitting) techniques are employed to produce approximation polynomials to calculate parasitics at other frequencies. Finally, after transferring those approximation polynomials into power series of s and substituting them into the MNA (modified nodal analysis) formula, we develop and apply the WIFRIM (wide frequency range interconnects moment matching) algorithm to calculate moments of arbitrary orders. Since WIFRIM only needs to decompose a sparse conductance matrix once, it results in significant speedup while providing accuracy within 1% error.
Keywords :
integrated circuit interconnections; integrated circuit modelling; least squares approximations; polynomial approximation; approximation polynomials; compact interconnect models; discrete least square curve fitting; interconnect analysis; interconnect extraction; modified nodal analysis; reluctance-based extraction algorithm; sparse conductance matrix; wide frequency range interconnects moment matching algorithm; Algorithm design and analysis; Approximation algorithms; Circuit simulation; Curve fitting; Frequency dependence; Integrated circuit interconnections; Least squares approximation; Polynomials; Reluctance generators; Sparse matrices;
Conference_Titel :
Design Automation Conference, 2005. Proceedings of the ASP-DAC 2005. Asia and South Pacific
Print_ISBN :
0-7803-8736-8
DOI :
10.1109/ASPDAC.2005.1466525