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To estimate effectively parameters of nonlinear mapping, a cubature rule is used to approximate the weighted integral of this mapping. In this paper, based on these parameters modeled by a state-space model, a novel parameter estimation is proposed. Blind separation of chaotic signals is a challenging problem. The proposed method is used to solve this problem to achieve the effective reconstruction of chaotic signals. Simulation results indicate that the proposed method has a faster convergence speed and a higher numerical accuracy, and can effectively separate original chaotic signals.
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Keywords:
- parameter estimation /
- cubature rule /
- blind separation /
- chaotic signal
[1] Haykin S 2001 Kalman Filtering and Neural Networks (New York: John Wiley & Sons, Inc.) p128
[2] Feng J C, Tse C K 2001 Phys. Rev. E 63 026202
[3] Feng J C, Tse C K, Lau C M 2003 IEEE Trans. Circuits Syst. Part I 50 954
[4] Wang S Y, Tian F C, Liu X, Wang J 2009 IEEE Signal Process. Lett. 16 275
[5] Shi X Z 2008 Blind Signal Processing: Theory and Practice (Shanghai: Shanghai Jiaotong University Publishing house) p5 (in Chinese) [史习智 2008 盲信号处理:理论与实践(上海: 上海交通大学出版社) 第5页]
[6] Wang B Y, Zheng W X 2006 IEEE Tran. Circuits Syst. Part Ⅱ 53 143
[7] Chen Z, Zeng Y C, Fu Z J 2008 Acta Phys. Sin. 57 46 (in Chinese) [陈争, 曾以成, 付志坚 2008 物理学报 57 46]
[8] Wang F P, Wang Z J, Guo J B 2002 Acta Phys. Sin. 51 474 (in Chinese) [汪芙平, 王赞基, 郭静波 2002 物理学报 51 474]
[9] Li X X, Feng J C 2007 Acta Phys. Sin. 56 701 (in Chinese) [李雪霞, 冯久超 2007 物理学报 56 701]
[10] Lv Q, Zhang X D, Jia Y 2005 IEEE International Conference on Acoustics, Speech, and Signal Processing Pennsylvania, USA, March 18-23, 2005 p257
[11] Hu Z H, Feng J C 2010 Journal of Southwest University (Nature Science Edition) 32 146 (in Chinese) [胡志辉, 冯久超 2010 西南大学学报(自然科学版) 32 146]
[12] Merwe R V D, Wan E A 2001 IEEE International Conference on Acoustics, Speech, and Signal Processing Utah, USA, May7-11, 2001 p3461
[13] Arasaratnam I, Haykin S 2008 IEEE Tran. Signal Process 56 2589
[14] Arasaratnam I, Haykin S 2009 IEEE Tran. Automatic Cont. 54 1254
[15] Arasaratnam I, Haykin S 2011 Automatica 47 2245
[16] Arasaratnam I, Haykin S, Elliott R J 2007 Proc. IEEE 95 953
[17] Zhu X L, Zhang X D 2002 IEEE Signal Process Lett. 9 432
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[1] Haykin S 2001 Kalman Filtering and Neural Networks (New York: John Wiley & Sons, Inc.) p128
[2] Feng J C, Tse C K 2001 Phys. Rev. E 63 026202
[3] Feng J C, Tse C K, Lau C M 2003 IEEE Trans. Circuits Syst. Part I 50 954
[4] Wang S Y, Tian F C, Liu X, Wang J 2009 IEEE Signal Process. Lett. 16 275
[5] Shi X Z 2008 Blind Signal Processing: Theory and Practice (Shanghai: Shanghai Jiaotong University Publishing house) p5 (in Chinese) [史习智 2008 盲信号处理:理论与实践(上海: 上海交通大学出版社) 第5页]
[6] Wang B Y, Zheng W X 2006 IEEE Tran. Circuits Syst. Part Ⅱ 53 143
[7] Chen Z, Zeng Y C, Fu Z J 2008 Acta Phys. Sin. 57 46 (in Chinese) [陈争, 曾以成, 付志坚 2008 物理学报 57 46]
[8] Wang F P, Wang Z J, Guo J B 2002 Acta Phys. Sin. 51 474 (in Chinese) [汪芙平, 王赞基, 郭静波 2002 物理学报 51 474]
[9] Li X X, Feng J C 2007 Acta Phys. Sin. 56 701 (in Chinese) [李雪霞, 冯久超 2007 物理学报 56 701]
[10] Lv Q, Zhang X D, Jia Y 2005 IEEE International Conference on Acoustics, Speech, and Signal Processing Pennsylvania, USA, March 18-23, 2005 p257
[11] Hu Z H, Feng J C 2010 Journal of Southwest University (Nature Science Edition) 32 146 (in Chinese) [胡志辉, 冯久超 2010 西南大学学报(自然科学版) 32 146]
[12] Merwe R V D, Wan E A 2001 IEEE International Conference on Acoustics, Speech, and Signal Processing Utah, USA, May7-11, 2001 p3461
[13] Arasaratnam I, Haykin S 2008 IEEE Tran. Signal Process 56 2589
[14] Arasaratnam I, Haykin S 2009 IEEE Tran. Automatic Cont. 54 1254
[15] Arasaratnam I, Haykin S 2011 Automatica 47 2245
[16] Arasaratnam I, Haykin S, Elliott R J 2007 Proc. IEEE 95 953
[17] Zhu X L, Zhang X D 2002 IEEE Signal Process Lett. 9 432
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