针对带隙电源地平面的噪声传播问题，提出一种基于加权拉盖尔多项式-时域有限差分(WLP-FDTD)方法.该方法首先将带隙电源地平面分为2部分：一部分为完整电源地平面；另一部分为带隙结构.然后建立完整电源地平面的等效电路模型以及带隙的耦合电路模型.最后对等效电路建立电压电流方程，并采用WLP-FDTD算法求解.计算结果表明，提出的基于WLP-FDTD的电源地平面噪声时域分析方法，相比于传统FDTD方法，在精度不变的同时计算效率显著提高，适合精确快速分析高速电路的电源完整性.
In this paper, a numerical method based on weighted Laguerre polynomials finite-difference time-domain (WLP-FDTD) is proposed to analyze noise propagating problem in power/ground planes with narrow slots. Firstly, the planes are divided into two parts, one is the planes, and the other is the slots. Then the planes are modeled as 2D equivalent circuit networks and the slots are modeled as coupled circuits. Finally, the equivalent 2D circuits are solved by WLP-FDTD. Numerical results show that the WLP-FDTD-based method can achieve higher efficiency than the traditional finite-difference time-domain method but the accuracies are the same. Therefore, the proposed WLP-FDTD-based method is suitable for accurate and efficient analysis of noise propagating on power/ground planes in high-speed circuits.
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