Analysis of nonuniform, frequency-dependent high-speed interconnects using numerical inversion of Laplace transform
Analysis of nonuniform, frequency-dependent high-speed interconnects using numerical inversion of Laplace transform
复制标题
使用拉普拉斯变换数值反演分析非均匀、频率相关的高速互连
DOI：
10.1109/43.331408
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发表时间：
1994
期刊：
影响因子：
--
通讯作者：
Qi
中科院分区：
文献类型：
--
作者：
Sanjay L. Manney;M. Nakhla;Qi
高速VLSI电路和系统中的互连表现出传输线效应。由于高速互连具有复杂的几何结构、各层之间的耦合以及绝缘材料的不均匀，需要将这些高速互连建模为非均匀频率相关传输线。在本文中，我们描述了一种模拟非均匀高速互连最一般形式的暂态响应的方法，即具有线性和非线性端子的非均匀分布的、有损耗的、耦合的、具有频率相关参数的多条线路。将传输线方程在频域中表示为初值问题，并用数值积分方法求解。针对传输线方程求解中存在的固有初值不稳定问题，提出了一种新的算法。通过拉普拉斯数值逆变换(NILT)得到了系统的时域响应。利用分段分解技术分析了含有非均匀高速互连的非线性网络。通过适当的算例和与已有结果的比较，说明了该方法的准确性和有效性。>；
Interconnects in high-speed VLSI circuits and systems exhibit transmission line effects. Due to the complex geometries of interconnections, coupling between various layers, and inhomogeneous insulating materials, these high-speed interconnects need to be modelled as nonuniform frequency dependent transmission lines. In this paper, we describe a method of simulating the transient response of nonuniform high-speed interconnects in its most general form, i.e. nonuniformly distributed, lossy, coupled, multiple lines with frequency-dependent parameters with linear and nonlinear terminations. Transmission line equations are formulated in the frequency domain as an initial value problem and solved using numerical integration. A new algorithm is proposed for overcoming the inherent initial value instability encountered in the solution of transmission line equations. The time domain response is obtained by Numerical Inversion of Laplace Transform (NILT). Nonlinear networks containing nonuniform high-speed interconnects are analyzed using the Piecewise Decomposition Technique. The accuracy and efficiency of the proposed method is illustrated by appropriate examples and comparisons with published results. >