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    • 1. 发明申请
    • Interconnect model-order reduction method
    • 互连模型阶降序法
    • US20070033549A1
    • 2007-02-08
    • US11199026
    • 2005-08-08
    • Chia-Chi ChuHerng-Jer LeeWu-Shiung FengChao-Kai Chang
    • Chia-Chi ChuHerng-Jer LeeWu-Shiung FengChao-Kai Chang
    • G06F17/50
    • G06F17/5036
    • An interconnect model-order reduction method for reduction of a nano-level semiconductor interconnect network as an original interconnect network by using iteration-based Arnoldi algorithms disclosed. The method is performed based on a projection method and has become a necessity for efficient interconnect modeling and simulations. To select order of the reduced-order model that can efficiently reflect essential dynamics of the original interconnect network, a residual error between transfer functions of the original interconnect network and the reduced interconnect model may be considered as a reference in determining if the iteration process should end, analytical expressions of the residual error being derived herein. Furthermore, the approximate transfer function of the reduced interconnect model may also be expressed as an addition of the original interconnect model and some additive perturbations. A perturbation matrix is only related with resultant vectors at a previous step of the Arnoldi algorithm. Therefore, the residual error information may be taken as a reference for the order selection scheme used in Krylov subspace model-order algorithm.
    • 一种用于通过使用基于迭代的Arnoldi算法来将纳米级半导体互连网络还原为原始互连网络的互连模型级降低方法。 该方法基于投影方法进行,并且已经成为有效的互连建模和模拟的必要条件。 为了选择可以有效地反映原始互连网络的基本动力学的简化模型的顺序,原始互连网络的传递函数与简化的互连模型之间的残差可能被认为是确定迭代过程应该如何 结束,这里得出的残差的解析表达式。 此外,还原互连模型的近似传递函数也可以表示为原始互连模型和一些附加扰动的相加。 扰动矩阵仅与Arnoldi算法前一步的合成矢量有关。 因此,剩余误差信息可以作为Krylov子空间模型顺序算法中使用的顺序选择方案的参考。
    • 6. 发明授权
    • Interconnect model-order reduction method
    • 互连模型阶降序法
    • US07437689B2
    • 2008-10-14
    • US11199026
    • 2005-08-08
    • Chia-Chi ChuHerng-Jer LeeWu-Shiung FengChao-Kai Chang
    • Chia-Chi ChuHerng-Jer LeeWu-Shiung FengChao-Kai Chang
    • G06F17/50
    • G06F17/5036
    • An interconnect model-order reduction method reduces a nano-level semiconductor interconnect network as an original interconnect network by using iteration-based Arnoldi algorithms. The method is performed based on a projection method and has become a necessity for efficient interconnect modeling and simulations. To select an order of the reduced-order model that can efficiently reflect essential dynamics of the original interconnect network, a residual error between transfer functions of the original interconnect network and the reduced interconnect model may be considered as a reference in determining if the iteration process should end, with analytical expressions of the residual error being derived herein. Furthermore, the approximate transfer function of the reduced interconnect model may also be expressed as an addition of the original interconnect model and some additive perturbations. A perturbation matrix is only related with resultant vectors at a previous step of the Arnoldi algorithm. Therefore, the residual error information may be taken as a reference for the order selection scheme used in Krylov subspace model-order algorithm.
    • 互连模型级降低方法通过使用基于迭代的Arnoldi算法将纳米级半导体互连网络作为原始互连网络减少。 该方法基于投影方法进行,并且已经成为有效的互连建模和模拟的必要条件。 为了选择可以有效地反映原始互连网络的基本动力学的简化模型的顺序,原始互连网络的传递函数与简化的互连模型之间的残差可以被认为是在确定迭代过程中的参考 应该结束,这里得到的残差的解析表达式。 此外,还原互连模型的近似传递函数也可以表示为原始互连模型和一些附加扰动的相加。 扰动矩阵仅与Arnoldi算法前一步的合成矢量有关。 因此,剩余误差信息可以作为Krylov子空间模型顺序算法中使用的顺序选择方案的参考。