超高阶的RLGC互连线时域状态空间模型及其研究  

State Space Models of RLGC Interconnect with Super High Order in Time Domain and Its Research

作　　者：胡志华[1,2] 徐洁[2] 

机构地区：[1]上海同济大学铁道与城市轨道交通研究院,上海201804 [2]上海第二工业大学电子电气工程学院,上海201209

出　　处：《电子与信息学报》2009年第8期1980-1984,共5页Journal of Electronics & Information Technology

基　　金：上海市教委基金(DDZ106002)资助课题

摘　　要：在互连线的建模方面,无论是考虑频变或工艺参数变化还是考虑降解,都需要一个精确的原始模型。它不仅使各种模型简化方法有个精确的起点,而且也是评估各种模型简化方法近似性能的基础。该文用直接闭合式的方法给出了一个计算复杂度为O(N)的精确的超高阶互连线RLGC时域状态空间模型,有3种形式,它是一般互连线树的基本构造元素,也是一种特殊的互连线树。该模型在形式上比文献中给出的更简洁。低阶模型与2000阶模型进行了比较,结果表明阶数较低的RLGC/RLC电路模型与分布参数电路模型相比在电路的振荡特性以及上升时间的描述上存在相当大的误差,因此在互连线树的建模中支路(包括根和叶的互连线)采用低阶原始模型值得商榷。In interconnect modeling, an exact original model is needed, whether in considering frequency-dependent or process variation or in model reducing. An exact original model is not only a precise start-point in model reducing, but also is the basis of evaluating the performance of the reduction models. This paper presents three types of exact interconnect RLGC state space models in time domain with super high order and computation complexity of O（N） by closed forms, where N is the total system order. They are the fundamental elements to construct interconnect trees or a special interconnect tree. The forms of these models are simpler than which in literature. Low order models are compared with 2000 order model. Low order models cause quite big errors in respect of the descriptions of oscillation characteristic and rise time. It has a risk when modeling branches in interconnect trees using lower order original interconnect models.

关 键 词：大规模集成电路 建模 互连线 RLGC分布电路 

分 类 号：TN47[电子电信—微电子学与固体电子学]