MIMO Interconnects Order Reductions by Using the Multiple Point Adaptive-Order Rational Global Arnoldi Algorithm(<Special Section>Analog Circuit and Device Technologies)

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概要

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• We extend the adaptive-order rational Arnoldi algorithm for multiple-inputs and multiple-outputs (MIMO) interconnect model order reductions. Instead of using the standard Arnoldi algorithm for the SISO adaptive-order reduction algorithm (AORA), we study the adaptive-order rational global Arnoldi (AORGA) algorithm for MIMO model reductions. In this new algorithm, the input matrix is treated as a vector form. A new matrix Krylov subspace, generated by the global Arnoldi algorithm, will be developed by a Frobenius-orthonormal basis. By employing congruence transformation with the matrix Krylov subspace, the one-sided projection method can be used to construct a reduced-order system. It will be shown that the system moment matching can be preserved. In addition, we also show that the transfer matrix residual error of the reduced system can be derived analytically. This error information will provide a guideline for the order selection scheme. The algorithm can also be applied to the classical multiple point MIMO Pade approximation by the rational Arnoldi algorithm for multiple expansion points. Experimental results demonstrate the feasibility and the effectiveness of the proposed method.

• 社団法人電子情報通信学会の論文
• 2006-06-01

著者

• Chu C‐c

  Department Of Electrical Engineering National Tsing Hua University

• Feng Wu‐shiung

  Department Of Electronic Engineering Chang Gung University

• Feng W‐s

  Chang Gung Univ. Twn

• Lai Ming‐hong

  Department Of Electronic Engineering Chang Gung University

• CHU Chia-Chi

  Department of Electrical Engineering, National Tsing Hua University

• LAI Ming-Hong

  Department of Electronic Engineering, Chang Gung University

• FENG Wu-Shiung

  Department of Electronic Engineering, Chang Gung University

• Lai Ming-hong

  Department Of Electronic Engineering Chang Gung University

• Chu Chia-chi

  Department Of Electrical Engineering Chang Gung University

• Feng Wu-shiung

  Department Of Electrical Engineering National Taiwan University

関連論文

• Lyapunov-Based Error Estimations of MIMO Interconnect Reductions by Using the Global Arnoldi Algorithm(Analog Circuit Techniques and Related Topics)
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