摘要: Tent混沌映射具有良好的遍历性和均匀性,但其随机性不理想。为此,提出一种改善Tent混沌序列随机性的方法。通过将Tent混沌映射变换为分段混沌映射,增大Lyapunov指数,改善相关系数和功率谱特性。对序列进行NIST随机性测试,结果表明,该分段Tent映射的序列具有较好的随机性,适用于通信与信息安全领域。
关键词:
混沌序列,
分段Tent映射,
Lyapunov指数,
随机性
Abstract: Tent chaotic maps have good ergodicity and uniformity, but fail the NIST randomness tests. Therefore, a new measure is proposed for improving the randomness of Tent chaotic sequences. According to the method, Tent chaotic maps are transformed into the piecewise Tent maps that are featured by greater Lyapunov exponents, better performance of correlations and power spectrum. Besides, the sequences of piecewise Tent maps are tested by NIST randomness tests. Results indicate that the sequences of the proposed chaotic maps are random enough and suitable for future applications in communication and information security.
Key words:
chaos sequence,
piecewise Tent map,
Lyapunov exponent,
randomness
中图分类号:
刘金梅, 张卫, 丘水生. 一种改善Tent混沌序列随机性的方法[J]. 计算机工程, 2012, 38(06): 10-12.
LIU Jin-Mei, ZHANG Wei, QIU Shui-Sheng. Method for Improving Randomness of Tent Chaotic Sequences[J]. Computer Engineering, 2012, 38(06): 10-12.