摘要
根据混沌实值序列和混沌数字序列的特点,提出了通过多值量化产生二相混沌扩频序列的方法,分析了序列的性能,证明了该方法产生的周期为N的二相混沌扩频序列,其偶相关和奇相关服从均值为0,方差为N的高斯分布;互相关函数的均方值服从自由度为N的χ2分布.序列的多址性能与传统的扩频序列相当,仿真结果验证了理论分析的正确性.该方法可大大增加有限精度下混沌扩频序列的数量,增强系统的保密性.该结果对二相混沌扩频序列在扩频通信方面的应用有一定帮助.
According to the advantages of chaotic analog sequences and chaotic binary sequences, a method of generating chaotic binary spread-spectrum sequences was proposed by multilevel quantification. It was proved that even correlation and odd correlation between such sequences of length N are all Gaussian distributed with mean 0 and variance N, and the mean-square cross-correlation are X2 (N) distributed. The performance of such sequence general is as same as that of traditional spread-spectrum sequence. The simulation results verify the exactness of theoretical analyses. The method can increase the number of chaotic sequences and make the spread spectrum system more secure. The results are helpful to the application of chaotic binary spread-spectrum sequences in spread-spectrum communication.
出处
《哈尔滨工业大学学报》
EI
CAS
CSCD
北大核心
2003年第9期1117-1120,共4页
Journal of Harbin Institute of Technology
基金
国家高技术研究发展计划资助项目(863-512-9924-07).
关键词
混沌
扩频序列
实值序列
数字序列
高斯分布
扩频通信
Χ^2分布
Chaos theory
Computer simulation
Correlation methods
Dynamics
Spectrum analysis
Spread spectrum communication