J4 ›› 2014, Vol. 41 ›› Issue (6): 6-11.doi: 10.3969/j.issn.1001-2400.2014.06.002

• 研究论文 • 上一篇    下一篇

一种RC链式电路时域响应建模方法

任鹏;相征   

  1. (西安电子科技大学 通信工程学院,陕西 西安  710071)
  • 收稿日期:2013-09-28 出版日期:2014-12-20 发布日期:2015-01-19
  • 通讯作者: 任鹏
  • 作者简介:任鹏(1984-),男,西安电子科技大学博士研究生,E-mail:pren@stu.xidian.edu.cn.
  • 基金资助:

    111基地资助项目(B08038)

Method for the response model of the RC chain circuit

REN Peng;XIANG Zheng   

  1.  (School of Telecommunication Engineering, Xidian Univ., Xi'an  710071, China)
  • Received:2013-09-28 Online:2014-12-20 Published:2015-01-19
  • Contact: REN Peng

摘要:

针对链式RC电路,提出了一种快速有效的模型来估计RC电路上每一时刻各个节点的输出响应.利用电路原理建立链式RC电路各个节点间的输入输出关系,然后通过一种矩阵变换的方法,计算出链式RC电路输出响应的解析式.实验结果表明:通过该方法得到的时幅响应准确度达到10-9,与波形松弛法多次迭代的准确度相当,但其运算复杂度低于波形松弛法的运算复杂度,其传播时延的误差远低于Elmore模型及其改进模型的传播时延误差.

关键词: RC电路, 时域分析, 输出响应, 传播时延

Abstract:

A fast and efficient model is constructed for the RC chain circuit to output the responses of all nodes each time. Concretely, the relationship between input and output voltage related to nodes is derived by using the circuit principle in the time-domain, and then the output responses of the RC chain circuit are gradually calculated in a mathematical way. Experimental results demonstrate that the proposed model has a good performance with a predicted accuracy and propagation delay and its computational complexity reaches a low level.

Key words: RC circuits, time domain analysis, output response, propagation delay