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一类混沌序列的自相关特性
引用本文:袁永斌,徐继麟,黄香馥.一类混沌序列的自相关特性[J].电子科技大学学报(社会科学版),1997(5).
作者姓名:袁永斌  徐继麟  黄香馥
作者单位:电子科技大学电子技术系
摘    要:以函数迭代型一维(1-D)离散动力系统为例,从统计学角度推导了混沌序列的自相关函数和自相关系数。理论分析表明1-D混沌序列与一阶AR过程具有相同形式的自相关特性,具有近乎理想的自相关结构,从而为通信与雷达系统提供了丰富的伪随机序列,计算机模拟结果与理论分析结果相符。

关 键 词:自相关  混沌序列  自回归  函数迭代

Autocorrelation Properties of One Class of Chaotic Sequences
Yuan Yongbin,Xu Jilin,Huang Xiangfu.Autocorrelation Properties of One Class of Chaotic Sequences[J].Journal of University of Electronic Science and Technology of China(Social Sciences Edition),1997(5).
Authors:Yuan Yongbin  Xu Jilin  Huang Xiangfu
Abstract:From the context of statistics,this paper derives theoretically the autocorrelation function and autocorrelation coeffcient of one class of chaotic sequences generated via an one dimensional(1 D) discrete dynamic system driven by function iterations.The resulting autocorrelations are identical with those of a stochastic first order autoregressive process.Both have nearly ideal autocorrelation structures which denote that a plenty of PN sequences for communication and radar systems can be applied.Some numerical simulation results are in agreement with those of theoretic analysis.
Keywords:autocorrelation  chaotic  sequences  autoregressive  function  iteration
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