一种无限折叠混沌映射及其量化序列

研究了有限区间内具有无限折叠的一维偶对称混沌映射及其所产生的量化序列的统计特性．理论分析和仿真检验证实，该映射具有比传统有限折叠映射大的李亚普诺夫指数(LE)、二值自相关、均匀的不变分布等性质，相应的量化序列的分布特性由混沌映射和量化器的参数决定．选择适当的参数可使量化序列接近于独立同分布序列，是构造扩谱序列和密钥流序列的理想候选．

One Chaotic Map with Infinite Collapses and Its Quantified Sequences

This paper presented a new chaos map with infinite collapses in a finite interval. The theoretical analyses and simulation show that the map has bigger Lyapunov exponent (LE) than the traditional chaotic maps with finite collapses, two-valued autocorrelation, uniform invariant distribution,and the statistical properties of its multi-valued quantified sequences are dependent on the parameters of the chaotic map and the quantifier, and choosing proper parameters can make the quantified sequences approach independent- identical -distribution sequences. So it is a good candidate for constructing chaotic spreading sequences and chaotic cipher.