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混沌信号在本质上属于非线性非高斯信号，它在无线传感器网络下的应用还涉及到信号量化问题，这使得混沌信号在此应用环境下的信号盲分离更为棘手. 针对此问题，本文在容积卡尔曼粒子滤波的框架下提出一种解决方法. 文中首先推导出观测信号的概率密度函数，在量化比特有限的情况下，采用最优量化器，获得最优的量化结果. 在此基础上，使用容积卡尔曼滤波器产生粒子滤波中的重要性概率密度函数，融入最新的观测值，提高粒子对系统状态后验概率的逼近，提高信号盲分离的精度. 仿真结果表明算法能够有效地分离混合混沌信号，参数估计的精度及其运算量均优于已有的无先导卡尔曼粒子滤波算法，其运行时间为无先导卡尔曼粒子滤波算法的88.77%.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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