一种新型量化混沌序列的统计特性研究

Study of the Statistical Properties of a New Quantified Chaotic Sequences

提出了一种多值量化器 ,并对一维无限折叠混沌映射所产生的多值量化序列的统计特性与混沌映射和量化器参数的关系进行了研究。理论分析和统计检验表明 ,选择适当的参数可使量化序列接近于独立同分布序列。该多值序列发生器还具有结构简单、实现效率高等优点。因此 ,它可用于产生混沌扩谱序列和混沌密钥流序列。

This paper presents one multi-valued quantifier and studies the relationship between the statistical properties of multi-valued quantified sequences generated by a one - dimensional chaotic map with infinite collapses and the parameters of the map and the quantifier. Theoretical analyses and the statistical tests show that choosing proper parameters can make the quantified sequences approach independent-identical-distribution sequences. Moreover, the multi-valued sequences generator has simple structure and good real-time performance. So it can be used to generate spreading sequences and key stream sequences.