Title
An Adjoint Network Approach for RLCG Interconnect Model Order Reductions
Abstract
This work proposes a new method for RLCG interconnect model-order reductions in consideration with the adjoint network. Relationships between an original MNA network and its corresponding adjoint MNA network will be explored first. It will be shown that the congruence transformation matrix used in the one-sided projection can be constructed by using the bi-orthogonal bases developed from the Lanczos-type algorithms. In particular, if the multi-port driving-point impedance of RLCG interconnect circuits is the main concern, the transfer functions and system moments of the adjoint network can be directly calculated from those of the original RLCG interconnect network by exploring symmetric properties of the MNA formulation. Therefore, the cost of constructing the congruence transformation matrix can be simplified by up to 50% of the previous methods. Comparative studies among various standard methods and the proposed methods are also investigated. Experimental results on large-scale RLCG interconnect circuits will demonstrate the accuracy and the efficiency of the proposed method.
Year
DOI
Venue
2006
10.1093/ietfec/e89-a.2.439
IEICE Transactions
Keywords
Field
DocType
large-scale rlcg,original mna network,corresponding adjoint mna network,adjoint network,rlcg interconnect model order,original rlcg,previous method,adjoint network approach,new method,congruence transformation matrix,mna formulation
Discrete mathematics,Model order reduction,Electrical impedance,Lanczos algorithm,Transfer function,Interconnection,Electronic circuit,Transformation matrix,Congruence (geometry),Mathematics
Journal
Volume
Issue
ISSN
E89-A
2
0916-8508
Citations 
PageRank 
References 
0
0.34
3
Authors
4
Name
Order
Citations
PageRank
Chia-chi Chu116431.80
Herng-jer Lee273.34
Ming-hong Lai3327.45
Wu-shiung Feng49823.98