摘要
对Lorenz混沌序列进行了较深入的时频分析,进而建立数学模型,实现了对其固有时频缺陷的全面改进,并利用统计检验进行了随机性验证。分析和仿真表明,改进后的Lorenz混沌序列分布均匀,并有较理想的相关特性;其相空间轨迹变得极不规则,更难于相空间重构;对高频成分的放大,使得该序列有着类白噪声的频谱特性。
The time-frequency characteristic of Lorenz chaotic sequences is analyzed and the immanent limitations in time and frequency domains are improved by building a mathematical model. And the randomness of the improved chaotic sequences is validated by the statistical test. The analysis and the simulation indicate that the sequences are uniform distribution and have better correlation properties. Because of their anomalistic locus, it is difficult for the phase space reconstruction. As a result of their high frequency is magnified, these sequences are similar to the time-frequency characteristic of the white noise.
出处
《数据采集与处理》
CSCD
北大核心
2006年第2期179-183,共5页
Journal of Data Acquisition and Processing
基金
黑龙江省自然科学基金(F0211)资助项目
关键词
Lorenz混沌序列
时频分析
改进模型
统计检验
Lorenz chaotic sequences
time-frequency analysis
improved model
statistical test
