基于有限状态的全周期序列混沌映射的研究

Research of chaotic map based on finite state full-of-length period sequences

在有限长度的数字计算机中 ,混沌迭代序列是一个有限周期序列 ,其相关性能远远低于理想序列。基于skewtent映射 ,提出一种离散化的有限状态混沌映射 ,它允许精确的数值计算 ,没有舍入误差 ,通过选择合适的参数 ,映射能产生全周期长度的序列。仿真实验表明 ,归一化的序列平均周期对计算机精度不敏感 。

Chaotic sequences will fall into a circle of small period of iteration in finite wordlength digital computer and its performance is much worse than the ideal sequences. A class of discretized finite state chaotic maps is proposed in this paper, which allow an exact numerical study without round off errors and generate full of length period sequences by choosing the appropriate parameters. Experiments show that the normalized average period is insensitive to computer precision and the quantized binary sequence has good correlation properties.