高速VLSI电路中传输线瞬态响应的灵敏度分析

【作者】 周俊星；

【导师】 钱建平；

【作者基本信息】 南京理工大学 ， 电路与系统， 2007， 硕士

【摘要】 随着集成电路尺寸的减小和信号速度的不断提高，高速VLSI电路中信号连接线的传输线效应(延迟、畸变、反射等)已成为限制系统信号完整性的主要原因。分析电路瞬态响应随传输线参数以及终端负载元件参数的变化规律，即分析瞬态响应的灵敏度，可以寻找到影响传输线效应的关键因素。本文提出了三种方法来求解传输线电路瞬态响应的灵敏度，分别是合同变换法、分段分解法和Chebyshev配点法。前两种方法是以传统传输线数学模型为基础，并在数值拉氏逆变换方法上进行深化和发展，它们分别应用于大规模线性传输线电路和非线性传输线电路。最后一种方法则是应用Chebyshev配点法对传输线建立新的数学分析模型，然后结合改进节点法对传输线电路进行瞬态响应分析和响应的灵敏度分析。最后通过实例分析，将应用三种方法得到的仿真波形和SPICE扰动法波形进行比较，波形吻合程度良好，说明精度较高。更多还原

【Abstract】 With the reduction of the size of the integrate circuit and the advance of the speed of the signal, the transmission line effects (Delay, Reflection, Distortion etc) of the signal connection in the high speed VLSI circuit become the main cause of the restriction to the signal integrity analysis. Analyzing the transformation rule of the circuit transient response to the transmission line parameter and terminal load parameter, namely analyzing the sensitivity of the transient response, can find the key factors impacting the transmission line effect. This paper presents three methods to solve the sensitivity of the transient response of transmission line circuit. They are congruent transformation method, piecewise decomposition method and Chebyshev collocation method. The first two methods are based on the usual math model of the transmission line, and are developed from the NILT method. They are used in the complex linear transmission line circuit and. nonlinear transmission line circuit seperately. The last method applies the pseudo-spectral method to form the new math model of the transmission line, and then using the MNA method to progress the transisent response analysis and sensitivity analysis. From the comparison of the simulation wave and the SPICE perturbation method wave, the precision of the methods is good.更多还原