Title
A Reduction Technique for RLCG Interconnects Using Least Squares Method
Abstract
In this paper, we propose a new algorithm for calculating the exact poles of the admittance matrix of RLCG interconnects. After choosing dominant poles and corresponding residues, each element of the exact admittance matrix is approximated by partial fraction. A procedure to obtain the residues that guarantee the passivity is also provided, based on experimental studies. In the procedure the residues are calculated by using the least squares method so that the partial fraction matches each element of the exact admittance matrix in the frequency-domain. From the partial fraction representation, the asymptotic equivalent circuit models which can be easily simulated with SPICE are synthesized. It is shown that an efficient model-order reduction is possible for short-length interconnects.
Year
DOI
Venue
2005
10.1093/ietfec/E88-A.2.513
IEICE Transactions
Keywords
Field
DocType
passivity,partial fraction representation,reduction technique,dominant pole,rlcg interconnects,short-length interconnects,corresponding residue,asymptotic equivalent circuit model,exact admittance matrix,leverrier-faddeeva algorithm,partial fraction,asymptotic equivalent circuits,least squares method,reduction,exact pole,squares method,admittance matrix,least square method,frequency domain
Least squares,Passivity,Discrete mathematics,Applied mathematics,Mathematical optimization,Spice,Partial fraction decomposition,Admittance parameters,Mathematics,Equivalent circuit
Journal
Volume
Issue
ISSN
E88-A
2
0916-8508
Citations 
PageRank 
References 
0
0.34
5
Authors
4
Name
Order
Citations
PageRank
Junji Kawata132.08
yuichi tanji23212.18
Yoshifumi Nishio322971.08
Akio Ushida46924.16