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    • 1. 发明申请
    • Methods and apparatus for predicting convergence of a transversal waveform relaxation algorithm
    • 用于预测横向波形松弛算法的收敛的方法和装置
    • US20070198233A1
    • 2007-08-23
    • US11356637
    • 2006-02-17
    • Ibrahim ElfadelHao HuangAlbert Ruehli
    • Ibrahim ElfadelHao HuangAlbert Ruehli
    • G06F17/10
    • G06F17/13G01R27/28
    • Methods and apparatus are provided for predicting the number of iterations needed for a computed Transversal Waveform Relaxation solution to achieve a given level of accuracy. In this manner, a Transversal Waveform Relaxation algorithm is disclosed that provides full automation. According to one aspect of the invention, a circuit is analyzed having transmission lines. One or more transmission line parameters of the circuit are obtained, as well as the intrinsic behavior, E(ω), and strength of coupling, N(ω), of each of the transmission lines. In addition, a relative error bound is obtained for the circuit based on the intrinsic behavior, E(ω), and strength of coupling, N(ω), of the transmission lines and a predefined error threshold. The process then iterates until the relative error bound satisfies the error threshold.
    • 提供了方法和装置,用于预测计算出的横向波形松弛解决方案所需的迭代次数以达到给定的准确度。 以这种方式,公开了提供完全自动化的横向波形松弛算法。 根据本发明的一个方面,分析具有传输线的电路。 获得电路的一个或多个传输线参数,以及每个传输线的固有行为E(ω)和耦合强度N(ω)。 此外,基于传输线的内在行为E(ω)和耦合强度N(ω)以及预定义的误差阈值,获得电路的相对误差界限。 然后,该过程将重复,直到相对误差界限满足错误阈值。
    • 2. 发明申请
    • Methods and apparatus for analyzing transmission lines with decoupling of connectors and other circuit elements
    • 用于分析连接器和其他电路元件去耦的传输线的方法和装置
    • US20070211840A1
    • 2007-09-13
    • US11356636
    • 2006-02-17
    • Ibrahim ElfadelHao HuangAlbert Ruehli
    • Ibrahim ElfadelHao HuangAlbert Ruehli
    • G06F17/50H04L23/00
    • G06F17/5036
    • Methods and apparatus are provided for analyzing transmission lines with decoupling of connectors and other circuit elements. According to one aspect of the invention, circuits with one or more parasitic elements are analyzed by partitioning at least one of the parasitic elements in a transverse manner; identifying a plurality of subcircuits each comprised of partitioned circuit elements from the plurality of transmission lines and one or more parasitic elements in a given path; wherein each of the subcircuits is associated with a path in the circuit; performing a waveform relaxation analysis between each of the subcircuits; and repeating the step of performing the waveform relaxation analysis using waveforms determined in a previous iteration until convergence to a resultant waveform has occurred. The circuit can optionally further comprise one or more transmission lines which would also be partitioned in a transverse manner.
    • 提供了用于分析连接器和其他电路元件去耦的传输线的方法和装置。 根据本发明的一个方面,通过以横向方式分隔至少一个寄生元件来分析具有一个或多个寄生元件的电路; 识别多个子电路,每个子电路由来自所述多个传输线的分隔电路元件和给定路径中的一个或多个寄生元件组成; 其中每个子电路与电路中的路径相关联; 在每个子电路之间进行波形弛豫分析; 并且重复使用在前一次迭代中确定的波形执行波形弛豫分析的步骤,直到发生对所得波形的收敛。 电路可以可选地进一步包括一个或多个也将以横向分隔的传输线。
    • 3. 发明申请
    • Method for order selection in passive transmission line macromodels based on the lie criteria
    • 基于谎言标准的无源传输线宏模型中的顺序选择方法
    • US20060085171A1
    • 2006-04-20
    • US10969743
    • 2004-10-19
    • Ibrahim ElfadelHao Huang
    • Ibrahim ElfadelHao Huang
    • G06F17/10
    • G06F17/5036
    • A passive macromodel for lossy, dispersive multiconductor transmission lines uses a multiplicative approximation of the matrix exponential known as the Lie product. The circuit implementation of the macromodel is a cascade of elementary cells, each cell being the combination of a pure delay element and a lumped circuit representing the transmission line losses. Compared with passive rational macromodeling, the Lie product macromodel is capable of efficiently simulating long, low-loss multiconductor transmission lines while preserving passivity. This result is combined with transmission line theory to derive a time-domain error criterion for the Lie product macromodel. This criterion is used to determine the minimum number of cells needed in the macromodel to assure that the magnitude of the time-domain error is less than a given engineering tolerance.
    • 用于有损耗色散多导体传输线的被动宏模型使用被称为Lie乘积的矩阵指数的乘法逼近。 宏模型的电路实现是基本单元的级联,每个单元是表示传输线损耗的纯延迟元件和集总电路的组合。 与被动理性宏观模型相比,Lie产品宏模型能够有效地模拟长,低损耗的多导体传输线,同时保持被动性。 该结果与传输线理论相结合,以得出Lie产品宏模型的时域误差准则。 该标准用于确定宏模型中所需的最小单元数,以确保时域误差的大小小于给定的工程公差。