Co-operative Research of Analysis Method for Very High Speed Integrated Circuits Composed of Distributed and Lumped Elements

分布式集总元件超高速集成电路分析方法的协同研究

• 批准号: 06302043
• 负责人: NISHI Tetsuo
• 金额: $ 2.43万
• 依托单位: KYUSHU UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Co-operative Research (A)
• 财政年份: 1994
• 资助国家: 日本
• 起止时间: 1994 至 1995
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-06302043/
• 关键词: Distributed-constant line; Analysis of distributed circuits; Mixed-type circuits; Nonlinear circuits; Integrated circuits

We had 6 meetings on this research project during these two years. Main new results obtained by the members of this research within this period are given as follows.(1) We summarized the state of the art of this subject and classified systematically various analysis methods so far known.(2) Both the characteristics impedance function Zo (s) and a bilinear function of the phase characteristics rheta (s) of distributed elements have to be approximated by rational positive real functions. The approximation by means of these functions resulted in better property of convergence than the conventional Pade approximation method.(3) A new method of the transient analysis for multi-phase circuits in power system having multi-branches are presented and the validity by numerical simulation are shown.(4) For general numerical analysis, a numerical validation method using the interval analysis and rational arithmetic is presented and some further improvements of this method are given.(5) A Katzenelson-like algorithm was presented for solving piecewise-linear resistive network and its global and quadratic convergence were proved.(6) A transient analysis algorithm combining frequency-domain simulation for distributed constant circuit (transmission line) and time-domain simulation for lumped constant circuit (logic gate) was proposed. It utilized wavr relaxation method.(7) A new algorithm for general circuit analysis was implemented on parallel computer. The program enables us to treat fundamental block of integrated circuits simulation system for various circuits including transmission lines and nonlinear elements.(8) A new equivalent circuit for a dielectric filter was proposed, where the equivalent circuit consists of multiconductor transmission line and lumped constant elements and element values are determined from experimental results. The total characteristics of circuit are much coincident with physical results over wide frequency than usual model.

在这两年里，我们就这个研究项目举行了6次会议。现将本课题组在此期间取得的主要新成果介绍如下。(1)我们总结了这一主题的艺术状态，并系统地分类到目前为止已知的各种分析方法。(2)分布元件的特性阻抗函数Zo（s）和相位特性rheta（s）的双线性函数都必须用有理正真实的函数来近似。用这些函数进行逼近，比传统的Pade逼近法具有更好的收敛性。(3)本文提出了一种多支路电力系统多相电路暂态分析的新方法，并通过数值仿真验证了该方法的有效性。(4)对于一般的数值分析，提出了一种基于区间分析和有理运算的数值验证方法，并对该方法进行了进一步的改进。(5)提出了求解分段线性电阻网络的Katzenelson类算法，并证明了其全局收敛性和二次收敛性。(6)提出了一种将分布常数电路（传输线）的频域仿真和集总常数电路（逻辑门）的时域仿真相结合的瞬态分析算法。它采用了波松弛法。(7)在并行计算机上实现了一种通用电路分析的新算法。该程序使我们能够处理集成电路仿真系统的基本模块，包括传输线和非线性元件的各种电路。(8)提出了一种新的介质滤波器等效电路，该等效电路由多导体传输线和集总常数元件组成，元件值由实验结果确定。在较宽的频率范围内，电路的总体特性与物理结果更为吻合。

项目成果

K.Urahama: "Direct Analog Rank Filters" IEEE Trans.CAS-I. Vol.42, No.7. 385-388 (1995)

K.Urahama：“直接模拟等级滤波器”IEEE Trans.CAS-I。

K.Yamamura: "Piecewise-Linear Analysis of Nonlinear Resistive Networks Containing Gummel-Poon Models or Shichman-Hodges Models" IEICE Trans., Fundamentals. Vol.E77-A,No.1. 309-316 (1994)

K.Yamamura：“包含 Gummel-Poon 模型或 Shichman-Hodges 模型的非线性电阻网络的分段线性分析”IEICE Trans.，基础知识。

K.Yamamura: "A Katzenelson-Like Algorithm for Solving Nonlinear Resistive Networks" IEICE Trans., Fundamentals. Vol.E77-A,No.7. 1172-1178 (1994)

K.Yamamura：“用于求解非线性电阻网络的类似 Katzenelson 的算法”IEICE Trans.，基础知识。

T.Nishi: "A Generalization of Tadeusiewicz Method for Finding Bounds on All Solutions of Piecewise-Linear Equations" Proceedings of NOLTA '94. 235-238 (1994)

T.Nishi：“用于查找分段线性方程所有解的界限的 Tadeusiewicz 方法的推广”NOLTA 94 论文集。

市川哲: "分布集中定数系混在モデルによる高速信号伝送路の過渡解析" Technical Report of IEICE. EMCJ95-41. 21-28 (1995)

Satoshi Ichikawa：“使用分布式集总常数混合模型进行高速信号传输线的瞬态分析”EMCJ95-41 (1995) 的技术报告。