A chaotic signal reconstruction algorithm in wireless sensor networks

Huang Jin-Wang; Li Guang-Ming; Feng Jiu-Chao; Jin Jian-Xiu

doi:10.7498/aps.63.140502

Abstract

A chaotic signal in an observation area of network nodes is sent to a fusion center for reconstruction. As the communication bandwidth is limited, the signal must be quantified before sending to the fusion center, which will add quantization noise to the observed signal, which makes the signal reconstruction more difficult. A chaotic signal reconstruction algorithm is proposed in this paper based on square-root cubature Kalman filter. Firstly the probability density function of the observed signal is estimated, and then the optimal quantizer is used to quantify the observed signal. Under the limited budget of quantization bits, the best performance can be achieved. Compared with the unscented Kalman filter counterpart, our algorithm has fewer cubature points and has the merit of small computation load; meanwhile, it uses the square root of error variance for iteration, this will be more stable and accurate when iterating for parameter estimation. Simulation results show that the algorithm can reconstruct the observed signal quickly and effectively, with consuming less computation time and being more accurate than the one based on unscented Kalman filter.

Keywords:

Authors and contacts

1.
School of Electronic and Information engineering, South China University of Technology, Guangzhou 510641, China;
2.
School of Computer Science, Dongguan University Of Technology, Dongguan 523808, China
Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 60872123, 61101014), the Fund for Higher-level Talent in Guangdong Province, China (Grant No. N9101070), and the Fundamental Research Funds for the Central Universities, China (Grant No. 2012ZM0025).

References

[1]	Zhang C, Fei S M, Zhou X P 2012 Chin. Phys. B 21 120101
[2]	Qi H, Wang F B, Deng H 2013 Acta Phys. Sin. 62 104301 (in Chinese) [祁浩, 王福豹, 邓宏 2013 物理学报 62 104301]
[3]	Liu H R, Yin W X, Han T, Dong M R 2014 Acta Phys. Sin. 63 040509 (in Chinese) [刘浩然, 尹文晓, 韩涛, 董明如 2014 物理学报 63 040509]
[4]	Liu X L, Li Z, Hu Y S 2013 Acta Phys. Sin. 62 070201 (in Chinese) [刘向丽, 李赞, 胡易俗 2013 物理学报 62 070201]
[5]	de Senneville B D, Roujol S, Hey S, Moonen C, Ries M 2013 IEEE Trans. Medical Imaging 32 711
[6]	Feng J C 2012 Chaotic Signal and Information Process (Beijing: Tsinghua University Press) p101 (in Chinese) [冯久超 2012 混沌信号与信息处理 (北京: 清华大学出版社)第101页]
[7]	Feng J C, Tse C K, Lau F C M 2003 IEEE Trans. Circuits and Systems-I 50 954
[8]	Ribeiro A, Giannakis G B, Roumeliotis S 2006 IEEE Trans. Signal Process. 54 4782
[9]	Chen H B, Feng J C 2010 J. Southwest Univ. (Natural Science Edition) 32 124 (in Chinese) [陈宏滨, 冯久超 2010 西南大学学报 (自然科学版) 32 124]
[10]	Roseveare N, Natarajan B 2012 IEEE Trans. Aerosp. Electron. Syst. 48 3494
[11]	Chandra K P B, Gu D W, Postlethwaite I 2013 IEEE Sensors J. 13 750
[12]	Wang S Y, Feng J C 2012 Acta Phys. Sin. 61 170508 (in Chinese) [王世元, 冯久超 2012 物理学报 61 170508]
[13]	Zhou J, Liu Y A, Wu F, Zhang H G, Zu Y X 2011 Acta Phys. Sin. 60 090504 (in Chinese) [周杰, 刘元安, 吴帆, 张洪光, 俎云霄 2011 物理学报 60 090504]
[14]	Walpole R E, Myers R H, Myers S L, Ye K 2012 Probability & Statistics for Engineers & Scientists (9th Ed.) (Boston: Pearson Education Inc.) pp84-86
[15]	Maaref A, Aissa S 2009 IEEE Trans. Commun. 57 214
[16]	Shi J, Yang D S, Shi S G 2011 Acta Phys. Sin. 60 064301 (in Chinese) [时洁, 杨德森, 时胜国 2011 物理学报 60 064301]
[17]	Yu X, Wang H Q, Yang E H 2010 IEEE Trans. Inform. Theory 56 5796
[18]	Bianchi P, Jakubowicz J 2013 IEEE Trans. Signal Process. 61 3119
[19]	Cui S, Xiao J J, Goldsmith A J, Luo Z Q, Poor H V 2007 IEEE Trans. Signal Process. 55 4683
[20]	Chen H B, Feng J C, Fang Y 2008 Chin.Phys.Lett. 25 405
[21]	Yu S M, Yu Z D 2008 Acta Phys. Sin. 57 6859 (in Chinese) [禹思敏, 禹之鼎 2008 物理学报 57 6859]
[22]	Gao G R, Liu Y P, Pan Q 2012 Acta Phys. Sin. 61 139701 (in Chinese) [高国荣, 刘艳萍, 潘琼 2012 物理学报 61 139701]

Cited By

[1]	Zhang C, Fei S M, Zhou X P 2012 Chin. Phys. B 21 120101
[2]	Qi H, Wang F B, Deng H 2013 Acta Phys. Sin. 62 104301 (in Chinese) [祁浩, 王福豹, 邓宏 2013 物理学报 62 104301]
[3]	Liu H R, Yin W X, Han T, Dong M R 2014 Acta Phys. Sin. 63 040509 (in Chinese) [刘浩然, 尹文晓, 韩涛, 董明如 2014 物理学报 63 040509]
[4]	Liu X L, Li Z, Hu Y S 2013 Acta Phys. Sin. 62 070201 (in Chinese) [刘向丽, 李赞, 胡易俗 2013 物理学报 62 070201]
[5]	de Senneville B D, Roujol S, Hey S, Moonen C, Ries M 2013 IEEE Trans. Medical Imaging 32 711
[6]	Feng J C 2012 Chaotic Signal and Information Process (Beijing: Tsinghua University Press) p101 (in Chinese) [冯久超 2012 混沌信号与信息处理 (北京: 清华大学出版社)第101页]
[7]	Feng J C, Tse C K, Lau F C M 2003 IEEE Trans. Circuits and Systems-I 50 954
[8]	Ribeiro A, Giannakis G B, Roumeliotis S 2006 IEEE Trans. Signal Process. 54 4782
[9]	Chen H B, Feng J C 2010 J. Southwest Univ. (Natural Science Edition) 32 124 (in Chinese) [陈宏滨, 冯久超 2010 西南大学学报 (自然科学版) 32 124]
[10]	Roseveare N, Natarajan B 2012 IEEE Trans. Aerosp. Electron. Syst. 48 3494
[11]	Chandra K P B, Gu D W, Postlethwaite I 2013 IEEE Sensors J. 13 750
[12]	Wang S Y, Feng J C 2012 Acta Phys. Sin. 61 170508 (in Chinese) [王世元, 冯久超 2012 物理学报 61 170508]
[13]	Zhou J, Liu Y A, Wu F, Zhang H G, Zu Y X 2011 Acta Phys. Sin. 60 090504 (in Chinese) [周杰, 刘元安, 吴帆, 张洪光, 俎云霄 2011 物理学报 60 090504]
[14]	Walpole R E, Myers R H, Myers S L, Ye K 2012 Probability & Statistics for Engineers & Scientists (9th Ed.) (Boston: Pearson Education Inc.) pp84-86
[15]	Maaref A, Aissa S 2009 IEEE Trans. Commun. 57 214
[16]	Shi J, Yang D S, Shi S G 2011 Acta Phys. Sin. 60 064301 (in Chinese) [时洁, 杨德森, 时胜国 2011 物理学报 60 064301]
[17]	Yu X, Wang H Q, Yang E H 2010 IEEE Trans. Inform. Theory 56 5796
[18]	Bianchi P, Jakubowicz J 2013 IEEE Trans. Signal Process. 61 3119
[19]	Cui S, Xiao J J, Goldsmith A J, Luo Z Q, Poor H V 2007 IEEE Trans. Signal Process. 55 4683
[20]	Chen H B, Feng J C, Fang Y 2008 Chin.Phys.Lett. 25 405
[21]	Yu S M, Yu Z D 2008 Acta Phys. Sin. 57 6859 (in Chinese) [禹思敏, 禹之鼎 2008 物理学报 57 6859]
[22]	Gao G R, Liu Y P, Pan Q 2012 Acta Phys. Sin. 61 139701 (in Chinese) [高国荣, 刘艳萍, 潘琼 2012 物理学报 61 139701]

[1]	Ren Zi-Liang, Qin Yong, Huang Jin-Wang, Zhao Zhi, Feng Jiu-Chao. Reconstruction algorithm of chaotic signal based on generalized likelihood ratio threshold-decision. Acta Physica Sinica, 2017, 66(4): 040503. doi: 10.7498/aps.66.040503
[2]	Chen Yue, Liu Xiong-Ying, Wu Zhong-Tang, Fan Yi, Ren Zi-Liang, Feng Jiu-Chao. Denoising of contaminated chaotic signals based on collaborative filtering. Acta Physica Sinica, 2017, 66(21): 210501. doi: 10.7498/aps.66.210501
[3]	Li Guang-Ming, Hu Zhi-Hui. Blind chaotic signal extraction based on artificial bee colony algorithm. Acta Physica Sinica, 2016, 65(23): 230501. doi: 10.7498/aps.65.230501
[4]	Fan Zhan, Liang Guo-Long, Fu Jin, Wang Yan. Robust sub-regional Frost beamforming based on the signal subspace reconstruction. Acta Physica Sinica, 2015, 64(5): 054303. doi: 10.7498/aps.64.054303
[5]	Wang Lu, Xu Jiang-Rong. A two-phase turbulence probability density function model in unified colored-noise approximation. Acta Physica Sinica, 2015, 64(5): 054704. doi: 10.7498/aps.64.054704
[6]	Guo Jing-Bo, Li Jia-Wen. Chaotic compressive measurement and reconstruction of binary signals. Acta Physica Sinica, 2015, 64(19): 198401. doi: 10.7498/aps.64.198401
[7]	Chen Yue, Lü Shan-Xiang, Wang Meng-Jiao, Feng Jiu-Chao. A blind source separation method for chaotic signals based on artificial bee colony algorithm. Acta Physica Sinica, 2015, 64(9): 090501. doi: 10.7498/aps.64.090501
[8]	Li Guang-Ming, Lü Shan-Xiang. Chaotic signal denoising in a compressed sensing perspective. Acta Physica Sinica, 2015, 64(16): 160502. doi: 10.7498/aps.64.160502
[9]	Kang Rong-Zong, Tian Peng-Wu, Yu Hong-Yi. An adaptive compressed sensing method based on selective measure. Acta Physica Sinica, 2014, 63(20): 200701. doi: 10.7498/aps.63.200701
[10]	Yang Dong-Dong, Ma Hong-Guang, Xu Dong-Hui, Feng Xiao-Wei. Design of the matched chaotic stimulation for fault detection of the single input single output system. Acta Physica Sinica, 2014, 63(12): 120508. doi: 10.7498/aps.63.120508
[11]	Yang Heng-Zhan, Qian Fu-Cai, Gao Yun, Xie Guo. The shape regulation of probability density function for stochastic systems. Acta Physica Sinica, 2014, 63(24): 240508. doi: 10.7498/aps.63.240508
[12]	Huang Jin-Wang, Feng Jiu-Chao, Lü Shan-Xiang. Blind source separation of chaotic signals in wireless sensor networks. Acta Physica Sinica, 2014, 63(5): 050502. doi: 10.7498/aps.63.050502
[13]	Ge Yang-Zhen, Mi Jian-Chun. Probability density function of temperature in a circular-cylinder turbulent wake. Acta Physica Sinica, 2013, 62(2): 024702. doi: 10.7498/aps.62.024702
[14]	Wang Wen-Bo, Zhang Xiao-Dong, Wang Xiang-Li. Chaotic signal denoising method based on independent component analysis and empirical mode decomposition. Acta Physica Sinica, 2013, 62(5): 050201. doi: 10.7498/aps.62.050201
[15]	Xing Hong-Yan, Cheng Yan-Yan, Xu Wei. Detection of weak target signal with least-squares support vector machine and generalized embedding windows under chaotic background. Acta Physica Sinica, 2012, 61(10): 100506. doi: 10.7498/aps.61.100506
[16]	Wang Shi-Yuan, Feng Jiu-Chao. A novel method of estimating parameter and its application to blind separation of chaotic signals. Acta Physica Sinica, 2012, 61(17): 170508. doi: 10.7498/aps.61.170508
[17]	Wang Guo-Guang, Wang Dan, He Li-Qiao. Projection filtering of signals in chaos. Acta Physica Sinica, 2010, 59(5): 3049-3056. doi: 10.7498/aps.59.3049
[18]	You Rong-Yi, Chen Zhong, Xu Shen-Chu, Wu Bo-Xi. Study on phase-space reconstruction of chaotic signal based on wavelet transform. Acta Physica Sinica, 2004, 53(9): 2882-2888. doi: 10.7498/aps.53.2882
[19]	Wang Fu-Peng, Wang Zan-Ji, Guo Jing-Bo. . Acta Physica Sinica, 2002, 51(3): 474-481. doi: 10.7498/aps.51.474
[20]	WANG FU-PING, GUO JING-BO, WANG ZAN-JI, XIAO DA-CHUAN, LI MAO-TANG. HARMONIC SIGNAL EXTRACTION FROM STRONG CHAOTIC INTERFERENCE. Acta Physica Sinica, 2001, 50(6): 1019-1023. doi: 10.7498/aps.50.1019

Catalog

Vol. 63, Issue 14 - 2014-07-20

Metrics

Abstract views: 4666
PDF Downloads: 538
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板