A FDTD method for Nonuniform Transmission Line Analysis Using Yee's-lattice and Wavelet Expansion

Kazunori Watanabe, T. Sekine, Yasuhiro Takahashi
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引用次数: 6

Abstract

A 1D finite-difference time-domain (FDTD) method for nonuniform transmission line analysis by using wavelet expansion is presented. The approach are based on scaling functions only or on a combination of scaling functions and wavelets leading to a variable mesh griding. The proposed schemes compared to the conventional Yee's FDTD scheme shows a good capability to approximate the exact solution with negligible error for sampling rates approaching the Nyquist limit. A linear tapered transmission line that is one of models of interconnect is analyzed in order to illustrate the application of this method and to demonstrate the advantages over Yee's FDTD scheme with respect to memory requirements and execution time. And to show the stableness, eye diagram analysis for lossy uniform transmission line is shown.
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基于Yee晶格和小波展开的非均匀传输线时域有限差分分析方法
提出了一种基于小波展开的非均匀传输线一维时域有限差分分析方法。该方法可以仅基于尺度函数,也可以将尺度函数与小波相结合,从而实现可变网格网格划分。与传统的Yee FDTD方案相比,所提出的方案在接近奈奎斯特极限的采样率下具有良好的近似精确解的能力,误差可以忽略不计。为了说明该方法的应用,并在内存要求和执行时间方面证明了该方法优于Yee的FDTD方案,本文对互连模型之一的线性锥形传输线进行了分析。为了说明系统的稳定性,对有耗均匀传输线进行了眼图分析。
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