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Chaotic signal is essentially a nonlinear and non-Gaussian signal, which involves signal quantization when used in wireless sensor networks (WSNs). It makes the blind source separation of chaotic signal in WSNs more difficult to address. To solve the problem, we propose a new source separation algorithm based on cubature Kalman particle filter (CPF) in this paper. First the probability density function of the observed signal is derived and the optimal quantization is used; this can achieve the optimal quantization of signal under the limited budget of quantization bits. After that, the algorithm uses cubature Kalman filter (CKF) to generate the important proposal distribution of the particle filter (PF), integrating the latest observation and improving the approximation to the system posterior distribution, which will improve the performance of the signal separation. Simulation results show that the algorithm can separate mixed chaotic signal effectively, it is superior over the unscented Kalman particle filter (UPF) counterpart in accuracy and computation overhead. The running time is 88.77% compared to the UPF counterpart.
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Keywords:
- chaotic signal /
- blind source separation /
- WSNs /
- particle filter
[1] Pantazis N A, Nikolidakis S A, Vergados D D 2013 IEEE Communications Surveys and Tutorials 15 551
[2] Qi H, Wang F B, Deng H 2013 Acta Phys. Sin. 62 104301 (in Chinese) [祁浩, 王福豹, 邓宏 2013 62 104301]
[3] Li X X, Feng J C 2007 Acta Phys. Sin. 56 701 (in Chinese) [李雪霞, 冯久超 2007 56 701]
[4] Malouche Z, Macchi O 1998 IEEE Transactions on Neural Networks 9 123
[5] Wang S Y, Feng J C 2012 Acta Phys. Sin. 61 170508 (in Chinese) [王世元, 冯久超 2012 61 170508]
[6] Hu Z H, Feng J C 2010 Journal of Southwest University (Natural Science) 32 146 (in Chinese) [胡志辉, 冯久超 2010 西南大学学报(自然科学版) 32 146]
[7] Lee S H, West M 2013 IEEE Transactions on Signal Processing 61 801
[8] Arasaratnam I, Haykin S 2009 IEEE Transactions on Automatic Control 54 1254
[9] Jia B, Xin M, Cheng Y 2012 Proceedings of the IEEE Conference on Decision and Control Maui, HI, December 10-13, 2012 p4095
[10] Mohammadi A, Asif A 2011 IEEE Workshop on Statistical Signal Processing Proceedings Nice, France, June 28-30, 2011 p237
[11] Cong L, Qin H L 2011 Chinese Journal of Electronics 20 755
[12] Yu X, Wang H Q, Yang E H 2010 IEEE Transactions on Information Theory 56 5796
[13] Bianchi P, Jakubowicz J 2013 IEEE Transactions on Signal Processing 61 3119
[14] Falsone G, Settineri D 2013 Probabilistic Engineering Mechanics 33 79
[15] Maaref A, Aïssa S 2009 IEEE Transactions on Communications 57 214
[16] Wang J H 2012 Chaos, Solitons and Fractals 45 1140
[17] Persohn K J, Povinelli R J 2012 Chaos, Solitons and Fractals 45 238
[18] Farina D, Févotte C, Doncarli C, Merletti R 2004 IEEE Transactions on Biomedical Engineering 51 1555
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[1] Pantazis N A, Nikolidakis S A, Vergados D D 2013 IEEE Communications Surveys and Tutorials 15 551
[2] Qi H, Wang F B, Deng H 2013 Acta Phys. Sin. 62 104301 (in Chinese) [祁浩, 王福豹, 邓宏 2013 62 104301]
[3] Li X X, Feng J C 2007 Acta Phys. Sin. 56 701 (in Chinese) [李雪霞, 冯久超 2007 56 701]
[4] Malouche Z, Macchi O 1998 IEEE Transactions on Neural Networks 9 123
[5] Wang S Y, Feng J C 2012 Acta Phys. Sin. 61 170508 (in Chinese) [王世元, 冯久超 2012 61 170508]
[6] Hu Z H, Feng J C 2010 Journal of Southwest University (Natural Science) 32 146 (in Chinese) [胡志辉, 冯久超 2010 西南大学学报(自然科学版) 32 146]
[7] Lee S H, West M 2013 IEEE Transactions on Signal Processing 61 801
[8] Arasaratnam I, Haykin S 2009 IEEE Transactions on Automatic Control 54 1254
[9] Jia B, Xin M, Cheng Y 2012 Proceedings of the IEEE Conference on Decision and Control Maui, HI, December 10-13, 2012 p4095
[10] Mohammadi A, Asif A 2011 IEEE Workshop on Statistical Signal Processing Proceedings Nice, France, June 28-30, 2011 p237
[11] Cong L, Qin H L 2011 Chinese Journal of Electronics 20 755
[12] Yu X, Wang H Q, Yang E H 2010 IEEE Transactions on Information Theory 56 5796
[13] Bianchi P, Jakubowicz J 2013 IEEE Transactions on Signal Processing 61 3119
[14] Falsone G, Settineri D 2013 Probabilistic Engineering Mechanics 33 79
[15] Maaref A, Aïssa S 2009 IEEE Transactions on Communications 57 214
[16] Wang J H 2012 Chaos, Solitons and Fractals 45 1140
[17] Persohn K J, Povinelli R J 2012 Chaos, Solitons and Fractals 45 238
[18] Farina D, Févotte C, Doncarli C, Merletti R 2004 IEEE Transactions on Biomedical Engineering 51 1555
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