中国物理B ›› 2009, Vol. 18 ›› Issue (5): 1761-1768.doi: 10.1088/1674-1056/18/5/008

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A method of estimating initial conditions of coupled maplattices based on time-varying symbolic dynamics

沈民奋1, 林兰馨1, 刘英2   

  1. (1)College of Engineering, Shantou University, Shantou 515063, China; (2)Department of Electronic Engineering, City University of Hong Kong, Hong Kong SAR, China
  • 收稿日期:2007-12-21 修回日期:2008-12-12 出版日期:2009-05-20 发布日期:2009-05-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 60271023 and 60571066) and the Natural Science Foundation of Guangdong Province, China (Grant Nos 5008317 and 7118382).

A method of estimating initial conditions of coupled map lattices based on time-varying symbolic dynamics

Shen Min-Fen(沈民奋)a)†, Liu Ying(刘英)b), and Lin Lan-Xin(林兰馨)a)   

  1. a College of Engineering, Shantou University, Shantou 515063, China; b Department of Electronic Engineering, City University of Hong Kong, Hong Kong SAR, China
  • Received:2007-12-21 Revised:2008-12-12 Online:2009-05-20 Published:2009-05-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 60271023 and 60571066) and the Natural Science Foundation of Guangdong Province, China (Grant Nos 5008317 and 7118382).

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摘要： A novel computationally efficient algorithm in terms of the time-varying symbolic dynamic method is proposed to estimate the unknown initial conditions of coupled map lattices (CMLs). The presented method combines symbolic dynamics with time-varying control parameters to develop a time-varying scheme for estimating the initial condition of multi-dimensional spatiotemporal chaotic signals. The performances of the presented time-varying estimator in both noiseless and noisy environments are analysed and compared with the common time-invariant estimator. Simulations are carried out and the obtained results show that the proposed method provides an efficient estimation of the initial condition of each lattice in the coupled system. The algorithm cannot yield an asymptotically unbiased estimation due to the effect of the coupling term, but the estimation with the time-varying algorithm is closer to the Cramer--Rao lower bound (CRLB) than that with the time-invariant estimation method, especially at high signal-to-noise ratios (SNRs).

关键词: coupled map lattices, symbolic dynamics, initial condition estimation

Abstract: A novel computationally efficient algorithm in terms of the time-varying symbolic dynamic method is proposed to estimate the unknown initial conditions of coupled map lattices (CMLs). The presented method combines symbolic dynamics with time-varying control parameters to develop a time-varying scheme for estimating the initial condition of multi-dimensional spatiotemporal chaotic signals. The performances of the presented time-varying estimator in both noiseless and noisy environments are analysed and compared with the common time-invariant estimator. Simulations are carried out and the obtained results show that the proposed method provides an efficient estimation of the initial condition of each lattice in the coupled system. The algorithm cannot yield an asymptotically unbiased estimation due to the effect of the coupling term, but the estimation with the time-varying algorithm is closer to the Cramer--Rao lower bound (CRLB) than that with the time-invariant estimation method, especially at high signal-to-noise ratios (SNRs).

Key words: coupled map lattices, symbolic dynamics, initial condition estimation

中图分类号:  (Coupled map lattices)

  • 05.45.Ra
05.45.Gg (Control of chaos, applications of chaos) 05.45.Tp (Time series analysis)