研究了利用符号序列分析来提高参数式混沌测量精度的方法。采用一种新的圆映射电路来设计测量系统,按照符号动力学方法给出了符号划分规则以及基于逻辑判断的符号获取方法,定义了符号序列空间的距离公式。先用固定初值的方法进行初步测量,再利用后续符号序列的Markov符号状态转移概率优化对被测参量作精确的估计。以下阈值频率作为被测参量进行了仿真实验研究。结果显示,符号分析法能够有效地抑制噪声、提高测量精度。
Abstract
The way of improving parameter chaotic measurement precision with symbolic analysis is studied.A new circle map circuit is used in the system,according to symbolic dynamics,the rule of symbol partition and the symbol acquiring method only by logic judge is presented,and the distance formula of symbol sequence space is also defined.Firstly,fasten initial method is applied,and then Markov symbolic state transfer probability optimization is used to estimate measuring parameters more accurately.Simulation experiment for frequency measurement of base voltage is done.The results show that the method is effective in restraining noise and improving precision.
关键词
计量学 /
混沌电路 /
圆映射 /
符号分析
Key words
Metrology /
Chaotic circuit /
Circle map /
Symbolic analysis
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