Parameter Estimation and Noise Filter in Chaotic Measurement
CHEN Zhong-yong1, CHEN Zhuo2, ZHANG Hong3
1.Information Center,Zhejiang Bureau of Quality and Technical Supervision, Hangzhou, Zhejiang 310013, China;
2.Automation Department,Zhejiang University City College, Hangzhou, Zhejiang 310015, China;
3.Biomedical Engineering Department, Zhejiang University, Hangzhou, Zhejiang 310027, China
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.
[1] 王金铭,沈东方,方建晓.一种提高混沌测量精度的新方法[J].计量学报,2008,29 (2): 164-167.
[2] 武薇,范影乐,庞全.基于多重耦合降噪的混沌测量研究[J].传感技术学报,2007,20(3):592-595.
[3] 金文光,诸东强,童勤业.混沌测量电路耦合降噪研究[J].浙江大学学报(工学版),2005,39(2):190-194.
[4] 杜柳青,余永维,唐其林.基于混沌电路的高精度重量测量系统设计[J].仪器仪表学报,2009,30(6): 1202-1206.
[5] 赵文礼,夏炜,刘鹏,等.基于混沌理论的微弱信号放大原理与方法研究[J].物理学报,2010,59(5): 2962-2970.
[6] Carrillo H, Hoppensteadt F. Unfolding an electronic integrate-and-fire circuit[J].Biological Cybernetics,2010,102(1):1-8.
[7] 郑伟谋,郝柏林.实用符号动力学[M],上海: 上海科技教育出版社,1994,110-130.
[8] Daw C S, Finney C E A, Tracy E R. A review of symbolic analysis of experimental data[J].Review of Scientific Instruments,2003,74(2):915-930.
[9] 宋爱玲,黄晓林,司峻峰,等.符号动力学在心率变异性分析中的参数选择[J].物理学报,2011,60(2):020509(1-8).
[10] Piccardi C. On parameter estimation of chaotic systems via symbolic time-series analysis[J].Chaos,2006,16(4): 043115.
[11] 王清亮.基于符号序列信息熵混沌特性的微弱信号检测[J].仪器仪表学报,2009,30(12):2491-2495.
[12] Lesne A, Blanc J L, Pezard L. Entropy estimation of very short symbolic sequences[J].Physical Review E,2009,79(4): 046208.