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混沌态下的四则运算
引用本文:沈东方,王金铭.混沌态下的四则运算[J].杭州电子科技大学学报,2006,26(1):46-49.
作者姓名:沈东方  王金铭
作者单位:1. 杭州电子科技大学通信工程学院,浙江,杭州,310018
2. 浙江树人大学信息科技学院,浙江,杭州,310015
摘    要:基于1-D分段线性映射函数构造的混沌系统符号动力学,并结合混沌轨道的距离定义,探讨了混沌符号序列与二进制序列之间的相互关系.并在此基础上提出了利用混沌符号轨道间相互的“加减乘除”四则运算来得到另一混沌轨道符号序列的方法.最后通过FIR数字滤波器卷积操作的计算机数值仿真,结果表明采用这些方法运算得到的结果与传统二进制算术编码算法完全等效,可应用于混沌信号处理系统.

关 键 词:混沌  符号动力学  信号处理
文章编号:1001-9146(2006)01-0046-04
收稿时间:2005-05-26
修稿时间:2005-05-26

Realization of Binary Arithmetic with Chaotic Symbol
SHEN Dong-fang,WANG Jin-ming.Realization of Binary Arithmetic with Chaotic Symbol[J].Journal of Hangzhou Dianzi University,2006,26(1):46-49.
Authors:SHEN Dong-fang  WANG Jin-ming
Abstract:Based on symbol dynamics in 1-D piecewise linear mapping chaotic systems and the definition of chaotic orbit's distance,an arithmetic method processing chaotic signals is studied in the paper,including addition,subtraction and multiplication etc.The operational rules are calculated and proved according to the definition of the distance between the two chaotic sequences.By computer simulation with convolution sum of FIR digital filter,the results show that the model is the same as traditional binary coding arithmetic,which can be used in chaotic signal processing systems.
Keywords:chaos  symbol dynamics  signal processing
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