TY - JOUR
T1 - Estimating initial conditions in coupled map lattices from noisy time series using symbolic vector dynamics
AU - Wang, Kai
AU - Pei, Wenjiang
AU - He, Zhenya
AU - CHEUNG, Yiu Ming
N1 - Funding Information:
This work was supported by the Natural Science Foundation of China under Grant 60672095, the National Information Security Program of China Grant 2005A14, the National High Technology Project of China under Grant 2002AA143010 and 2003AA143040, the Excellent Young Teachers Program of Southeast University.
PY - 2007/7/30
Y1 - 2007/7/30
N2 - In this Letter, we investigate the symbolic vector dynamics method for initial condition estimation in additive white Gaussian noisy environment. We apply this scheme not only to the skewed-tent-CMLs and logistic-CMLs but also to the piecewise-linear-CMLs and Chebyshev-CMLs. We also discuss the symbol vector error probability in additive white Gaussian noisy condition, and evaluate the performance of this scheme at high signal-to-noise ratio (SNR). It is found that the SNR, the total number of CMLs' site and the length of generating partition will affect the symbol vector error probability. Both theoretical and experimental results show that this algorithm enables us to recover initial condition of CMLs exactly in both noisy and noise free cases. Therefore, we provide novel analytical techniques for understanding turbulences in coupled map lattices.
AB - In this Letter, we investigate the symbolic vector dynamics method for initial condition estimation in additive white Gaussian noisy environment. We apply this scheme not only to the skewed-tent-CMLs and logistic-CMLs but also to the piecewise-linear-CMLs and Chebyshev-CMLs. We also discuss the symbol vector error probability in additive white Gaussian noisy condition, and evaluate the performance of this scheme at high signal-to-noise ratio (SNR). It is found that the SNR, the total number of CMLs' site and the length of generating partition will affect the symbol vector error probability. Both theoretical and experimental results show that this algorithm enables us to recover initial condition of CMLs exactly in both noisy and noise free cases. Therefore, we provide novel analytical techniques for understanding turbulences in coupled map lattices.
KW - Coupled mode analysis
KW - Initial condition estimation
KW - Signal processing
KW - Symbols vector dynamics
UR - http://www.scopus.com/inward/record.url?scp=34447540219&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2007.03.049
DO - 10.1016/j.physleta.2007.03.049
M3 - Article
AN - SCOPUS:34447540219
VL - 367
SP - 316
EP - 321
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
SN - 0375-9601
IS - 4-5
ER -