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。
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.
出处
《电子科技大学学报》
EI
CAS
CSCD
北大核心
1997年第5期468-472,共5页
Journal of University of Electronic Science and Technology of China
基金
国家自然科学基金
关键词
自相关
混沌序列
函数迭代
信号分析
autocorrelation
chaotic sequences
autoregressive
function iteration
