一种新的混沌伪随机序列及其性能分析

提出了一种新的基于混沌系统的伪随机序列，该序列能有效避免迭代过程中舍入误差积累的影响；且随着对系统数值仿真步长(时间间隔)的差异或方程参数值的微小变化，序列完全相异。分析表明该序列有很好的密码学特性，如接近于1的0-1比，类δ的自相关和接近于0的互相关特性，大线性复杂度。将其应用于图像加密中，结果表明是一类很有效的伪随机序列。

New chaotic pseudo-random sequence and its performance analysis

A new pseudo-random sequence based on chaotic map was proposed, which can avoid the accumulated effect of round-off errors caused by iterating the map. With the difference of step size in simulation (time interval) or slightly variation of the parameter value, the sequence is very different. The analysis shows that the sequence possesses very good cryptographic properties, such as the ratio of 0-1 is close to 1, large linear complexity, δ-like auto-correlation and close-to-zero cross-correlation. Applying the new sequence in image encryption algorithm, the simulation results show that it is a class of effective pseudo-random in practical applications.