基于向量拟合法的多端口网络函数有理逼近及其瞬态分析  

Rational approximation of multiport network functions by the vector fitting algorithm

作　　者：魏琰[1] 郭裕顺[1] 

机构地区：[1]杭州电子科技大学,浙江杭州310018

出　　处：《电路与系统学报》2008年第1期67-72,共6页Journal of Circuits and Systems

基　　金：国家自然科学基金资助项目(60672013)

摘　　要：随着工作时钟频率的不断提高,互连与封装等寄生结构引起的信号完整性分析成为集成电路设计中的重要任务。高频时寄生结构的准确电特性只能用一组不同频率点上从测量或模拟得到的采样值描述。基于这些采样值通过有理逼近构造网络函数宏模型,才能在时域中完成信号完整性分析。本文采用向量拟合法进行多端口网络函数的有理逼近,实现了宽频率范围高阶有理函数的稳定逼近;提出用多端口传递函数矩阵的状态空间最小实现算法将模型转换到时域的状态方程,然后将这组状态方程等效为由受控源等基本元件组成的子电路,再用SPICE直接完成瞬态分析。With the continuous increasing of the clock frequency of high-speed circuits, the signal integrity （SI） analysis due to the requirement of assessing the effects of the parasitic structure（e.g., interconnects, packages） on the performance of the circuits has become an indispensable step in the design. At very high frequencies, interconnects and packages can only be characterized by a set of sampled data from measurements or electromagnetic simulations over the frequency of interests. In order to accomplish the signal integrity analysis in the time-domain, it is necessary to construct a rational approximation based on these sampled data. This paper describes an excellent algorithm-the vector-fitting algorithm to realize the rational approximation of the multiport network functions. The minimal state-space realization theory of transfer-function matrix is then used to convert the pole-residue description of multiport rational function into the state equations in the time domain. The state equations are further realized by an equivalent circuit composed of controlled sources, resistors and capacitors and the transient analysis can be readily carried out by SPICE.

关 键 词：互连与封装 寄生效应 信号完整性 有理逼近 向量拟合法 

分 类 号：TN701[电子电信—电路与系统]