一类混沌映射产生跳频序列的方法

Generating FH Sequences by a Class of Chaotic Maps

本文基于两个拓扑共轭的混沌映射具有相同的动力学行为 .对一类与分段线性满映射拓扑共轭的混沌映射 ,提出了产生独立、均匀分布的混沌跳频序列的方法 .并从理论上分析估计了该序列的平衡性和汉明相关性 .最后 ,用切比雪夫映射进行了实验研究 .结果表明 :理论分析与实验结果是一致的 ,该序列具有良好的性能 .

This paper based on the fact that two topologically homomorphous (THS) chaotic maps have identical dynamical behaviors.For a class of chaotic maps which are THS to piecewise linear subjective map,we proposed a method to generate FH sequences with independent and balanced distribution.We also discussed and theoretically analysed and estimated the sequences' balance and maximum Hamming correlation.Finally,we used Chebychev map for our experimental research,the results show that:experiments results are accordant with our theoretic analysis and those sequences have excellent properties.