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中文摘要：
利用加权拉盖尔多项式-时域有限差分方法（WLP-FDTD）对高速电路中非均匀传输线进行瞬态分析和计算.根据传输线等效电路模型的电报方程,采用拉盖尔基函数展开电流电压表达式,并利用其正交性,避免了稳定约束条件进而得到方程的解.与传统的时域有限差分方法（FDTD）相比,提出的方法分离了时间和空间变量,不受稳定条件的约束,在对传输线离散段数较多时,具有较高的计算速率.仿真结果表明在传输线的分析中采用WLPFDTD比FDTD的效率更高,最后开发了基于WLP-FDTD多根传输线的仿真软件.
英文摘要：
Weighted Laguerre polynomials-finite difference time domain （WLP-FDTD） method is employed to analyze transient response of transmission line in high-speed interconnect circuit system. Based on telegraph equation in equivalent circuit networksmodel, current and voltage are computed with weighted Laguerre polynomials. According to orthogonality, stability condition is eliminated. Different from finite difference time domain method, WLP-FDTD method is unconditional stable, which separates time and space variables. It is fast in computing large number of dissection networks for a transmission line. It shows that WLP-FDTD method is more efficient than traditional FDTD in analysis of transmission line. At last, a program with GUI is develooed.
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