Alternating direction implicit iteration for systems with complex spectra
SIAM Journal on Numerical Analysis
Generalized moment-matching methods for transient analysis of interconnect networks
DAC '92 Proceedings of the 29th ACM/IEEE Design Automation Conference
Proceedings of the 1996 IEEE/ACM international conference on Computer-aided design
PRIMA: passive reduced-order interconnect macromodeling algorithm
ICCAD '97 Proceedings of the 1997 IEEE/ACM international conference on Computer-aided design
DAC '98 Proceedings of the 35th annual Design Automation Conference
An efficient Lyapunov equation-based approach for generating reduced-order models of interconnect
Proceedings of the 36th annual ACM/IEEE Design Automation Conference
Efficient linear circuit analysis by Pade approximation via the Lanczos process
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Balanced truncation with spectral shaping for RLC interconnects
Proceedings of the 2001 Asia and South Pacific Design Automation Conference
A factorization-based framework for passivity-preserving model reduction of RLC systems
Proceedings of the 39th annual Design Automation Conference
Guaranteed passive balancing transformations for model order reduction
Proceedings of the 39th annual Design Automation Conference
Proceedings of the 2001 IEEE/ACM international conference on Computer-aided design
Efficient Approximate Balanced Truncation of General Large-Scale RLC Systems via Krylov Methods
ASP-DAC '02 Proceedings of the 2002 Asia and South Pacific Design Automation Conference
Passivity-preserving model reduction via a computationally efficient project-and-balance scheme
Proceedings of the 41st annual Design Automation Conference
AIC'08 Proceedings of the 8th conference on Applied informatics and communications
Sparse and Passive Reduced-Order Interconnect Modeling by Eigenspace Method
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Numerical Simulation and Modelling of Electronic and Biochemical Systems
Foundations and Trends in Electronic Design Automation
Efficient model reduction of interconnects via double gramians approximation
Proceedings of the 2010 Asia and South Pacific Design Automation Conference
| Hi-index | 0.00 |
Krylov-subspace based methods for generating low-order models of complicated interconnect are extremely effective, but there is no optimality theory for the resulting models. Alternatively, methods based on truncating a balanced realization (TBR), in which the observability and controllability gramians have been diagonalized, do have an optimality property but are too computationally expensive to use on complicated problems. In this paper we present a method for computing reduced-order models of interconnect by projection via the orthogonalized union of the approximate dominant eigenspaces of the system's controllability and observability gramians. The approximate dominant eigenspaces are obtained efficiently using an iterative Lyapunov equation solver, Vector ADI, which requires only linear matrix-vector solves. A spiral inductor and a transmission line example are used to demonstrate that the new method accurately approximates the TBR results and gives much more accurate wideband models than Krylov subspace-based moment matching methods.