A first course in the numerical analysis of differential equations
A first course in the numerical analysis of differential equations
Proceedings of the 1996 IEEE/ACM international conference on Computer-aided design
Approximation of Large-Scale Dynamical Systems (Advances in Design and Control) (Advances in Design and Control)
ICCAD '05 Proceedings of the 2005 IEEE/ACM International conference on Computer-aided design
A more reliable reduction algorithm for behavioral model extraction
ICCAD '05 Proceedings of the 2005 IEEE/ACM International conference on Computer-aided design
SBPOR: second-order balanced truncation for passive order reduction of RLC circuits
Proceedings of the 44th annual Design Automation Conference
PRIMA: passive reduced-order interconnect macromodeling algorithm
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Guaranteed passive balancing transformations for model order reduction
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Poor man's TBR: a simple model reduction scheme
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Resampling Plans for Sample Point Selection in Multipoint Model-Order Reduction
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
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
ACM Transactions on Design Automation of Electronic Systems (TODAES)
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In this paper, we propose a new wideband model order reduction method for interconnect circuits by using a novel adaptive sampling and error estimation scheme. We try to address the outstanding error control problems in the existing sampling-based reduction framework. In the new method, called WBMOR, we explicitly compute the exact residual errors to guide the sampling process. We show that by sampling along the imaginary axis and performing a new complex-valued reduction, the reduced model will match exactly with the original model at the sample points. We show theoretically that the proposed method can achieve the error bound over a given frequency range. Practically the new algorithm can help designers choose the best order of the reduced model for the given frequency range and error bound via adaptive sampling scheme. As a result, it can perform wideband accurate reductions of interconnect circuits for analog and RF applications. We compare several sampling schemes such as linear, logarithmic, and recently proposed re-sampling methods. Experimental results on a number of RLC circuits show that WBMOR is much more accurate than all the other simple sampling methods and the recently proposed re-sampling scheme with the same reduction orders. Compared with the real-valued sampling methods, the complex-valued sampling method is more accurate for the same computational costs.