有耗互连线瞬态模拟的稳定递归算法

本文提出了一种用于求解高速VLSI和多芯片组件(MCM)中有耗互连线瞬态响应的稳定递归算法。在频域内,均匀传输线两端的电压电流满足一组简单公式,将这组公式利用Taylor级数进行近似,通过逆拉氏变换得到一组时域内的递归公式。递归公式只涉及到传输线两端的电流和电压,瞬态响应可以步进求解。递归公式中的卷积只与已经计算出的数值有关,不涉及任何未知量。本方法避免了有理逼近所导致的不稳定性,是绝对收敛的。数值实验结果表明,本方法可以达到相当高的精度。

STABLE RECURSIVE ALGORITHM FOR THE TRANSIENT SIMULATION OF LOSSY INTERCONNECTS

A stable recursive algorithm is presented for the transient simulation of interconnect systems in the high-speed VLSI and multichip modules (MCMs). The Taylor approximation is employed in the frequency domain, then a set of recursive formulas is derived by the inverse Laplace transform. The recursive convolution includes no unknowns, it is only related with the computed quantities. The algorithm concerns only the quantities at two ends of the lines, so it consumes less computer time and less memory in comparison with other methods. The algorithm is useful for both delay and crosstalk estimation and can be used to evaluate transient responses of high-speed interconnect circuits. Applications show that the method gives high accuracy.