基于混沌系统的量化方法及伪随机性研究

Research of quantization methods and pseudo-randomness based on chaotic systems

为了讨论文献[1]提出的预处理方法的有效性,分别采用阈值和引入变换T两种不同的量化方法对预处理前后的序列进行量化,最后利用FIPS 140-2标准对量化后产生的20 000个二进制码序列进行检测。结果表明:预处理后的实数值混沌序列具有好的统计特性;对两种量化方法分析得到,预处理后采用阈值量化方法得到的0-1序列的随机性有较明显的改善;无论是否经过预处理,采用引入变换T的量化方法得到的0-1序列的随机性总比采用阈值量化方法得到的好。

In order to discuss the effectiveness of the pretreatment method in literature 1,this paper adopted threshold and the way used the change T to quantify the real chaotic sequences which generated before and after pretreatment into binary sequences,respectively. Finally,it detected the 20 000 binary number sequences generated after quantization by the standard of FIPS 140-2 tests. The results indicate that the chaos sequences pretreated have good statistical properties. The randomness of 0-1 sequences after pretreatment with threshold quantization has very obviously improved by analysis of two quantitative methods.The randomness of 0-1 sequences use the change T is often better than the ones use threshold quantization whether using pretreated or not.