Balanced parametrization of classes of linear systems
SIAM Journal on Control and Optimization
Oblique Projection Methods for Large Scale Model Reduction
SIAM Journal on Matrix Analysis and Applications
A fast wavelet collocation method for high-speed VLSI circuit simulation
ICCAD '95 Proceedings of the 1995 IEEE/ACM international conference on Computer-aided design
Stable and efficient reduction of substrate model networks using congruence transforms
ICCAD '95 Proceedings of the 1995 IEEE/ACM international conference on Computer-aided design
Proceedings of the 1996 IEEE/ACM international conference on Computer-aided design
An efficient Lyapunov equation-based approach for generating reduced-order models of interconnect
Proceedings of the 36th annual ACM/IEEE Design Automation Conference
Error bounded Padé approximation via bilinear conformal transformation
Proceedings of the 36th annual ACM/IEEE Design Automation Conference
ENOR: model order reduction of RLC circuits using nodal equations for efficient factorization
Proceedings of the 36th annual ACM/IEEE Design Automation Conference
Proceedings of the 36th annual ACM/IEEE Design Automation Conference
Model order-reduction of RC(L) interconnect including variational analysis
Proceedings of the 36th annual ACM/IEEE Design Automation Conference
Solution of the matrix equation AX + XB = C [F4]
Communications of the ACM
Asymptotic Waveform Evaluation and Moment Matching for Interconnect Analysis
Asymptotic Waveform Evaluation and Moment Matching for Interconnect Analysis
Analysis of interconnect networks using complex frequency hopping (CFH)
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Efficient linear circuit analysis by Pade approximation via the Lanczos process
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Design and verification of high-speed VLSI physical design
Journal of Computer Science and Technology
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In this paper, we present a linear time DC-Gain matched BTR (DBTR) method for the VLSI interconnect order reduction. From the circuit point of view, the original BTR has a serious drawback that the DC gain between the original and the reduced order system doesn't match. We propose the DBTR method which can both match the DC gain and guarantee the performance of the reduced order system. Moreover, considering that the practical VLSI circuit order can be up to several thousands, we derive a linear time algorithm for computing a DBTR by extending the O(n) Krylov Subspace Oblique Projection. With linear time algorithm, the obstacle caused by the expensive computation cost of TBR for large circuit order reduction can be solved efficiently, and the advantage of the BTR, guaranteed performance on the reduced order system, can be fully utilized.