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A signal separation and parameter extraction method based on particle filtering for single channel sinusoidal frequency modulated (SFM) signals is put forward. By assuming that the frequency of SFM signals mixture is continuous, a phase-difference de-aliasing arithmetic based on particle filtering is proposed. And the dimension of state space is reduced by using phase-difference between source signals. A likelihood function model suitable for high dimensional state space is proposed. Particles weight is accurately measured by comparing error between estimated values and true values of particles with fixed length. The problem of particle diversity reduction in the static parameters situation is solved by the introduction of Markov-chain Monte Carlo (MCMC) transfer after re-sampling, and the speed of particle filter iteration convergence is also effectively improved. Single channel SFM signal parameters are extracted and signals are separated by reconstructing signals only with the prior knowledge of modulation type. Finally, the simulation results indicate that this method can separate the multi-component signal sources and estimate the parameters effectively.
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Keywords:
- single channel sinusoidal frequency modulated signals mixture /
- sources separation /
- particle filtering /
- parameters estimation
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[37] Sun Z G, Chen J, Cao X, Guo L L, Shen L R 2012 Systems Engineering and Electronics 34 1973 (in Chinese) [孙志国, 陈晶, 曹雪, 郭黎利, 申丽然 2012 系统工程与电子技术 34 1973]
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[43] Liu K 2007 Ph. D. Dissertation (Hefei: Chinese Science and Technology University) (in Chinese) [刘凯2007博士学位论文(合肥: 中国科学技术大学)]
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[57] Liu X, Gao Q, Li X L 2014 Chin. Phys. B 23 010202
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[60] -
[1] Liu Z M, Huang Z T, Zhou Y Y 2012 IET Commun. 6 84
[2] [3] Tu S L, Zheng H, Gu N 2008 IEEE Asia Pacific Conference on Circuits and Systems Macao, China, November 30-December 3, 2008 p473
[4] [5] [6] Chen S H, Tu S L, Wan J 2007 IEEE Region 10 Conference Taipei, China, October 30-November 2, 2007 p701
[7] King B J, Atlas L 2011 IEEE T. Audio Speech 19 2591
[8] [9] Zhu H, Zhang S N, Zhao H C 2014 Phys. Sin. 63 058401 (in Chinese) [朱航, 张淑宁, 赵惠昌 2014 物理学报 63 058401]
[10] [11] Parvaix M, Girin L, Brossier J M 2010 IEEE T. Audio Speech 18 1464
[12] [13] Ozerov A, Philippe P, Bimbot F, Gribonval R 2007 IEEE T. Audio Speech 15 1564
[14] [15] [16] Gao B, Woo W L, Dlay S S 2011 IEEE J. STSP 5 989
[17] Stark M, Wohlmayr M, Pernkopf F 2011 IEEE T. Audio Speech 19 242
[18] [19] [20] Mahdi F, Meysam A 2009 11th International Conference on Computer Modelling and Simulation Cambridge, UK, March 25-27, 2009 p228
[21] Mijovic B, De V M, Gligorijevic I, Van H S 2010 32nd annual international conference of the IEEE EMBS Buenos Aires, Argentina, August 31-Sep 4, 2010 p5387
[22] [23] Mijovic B, De V M, Gligorijevic I, Taelman J, Van H S 2010 IEEE T. Bio. Med. Eng. 57 2188
[24] [25] [26] Wei Z, Hongxing L, Jianchun C 2012 IET Signal Process. 6 171
[27] Anil D W, Rajiv V, Dharaskar B K 2010 Third International Conference on Emerging Trends in Engineering and Technology Goa, India, November 19-21, 2010 p578
[28] [29] [30] Fang Y, Chen H B, Feng J C 2008 Chin. Phys. Lett. 25 405
[31] Huang G M, Xiong G, Zhao H C, Wang L J 2005 Jounal of Electronics & Information Technology 27 431 (in Chinese) [黄光明, 熊刚, 赵惠昌, 王李军 2005 电子与信息学报 27 431]
[32] [33] [34] Li J Q, Jin H R, Geng J P, Fan Y, Mao W 2007 Jounal of Electronics & Information Technology 29 570 (in Chinese) [李家强, 金荣洪, 耿军平, 范瑜, 毛炜 2007 电子与信息学报 29 570]
[35] [36] Li M Z, Zhao H C 2011 Acta Armamentarii 32 543 (in Chinese) [李明孜, 赵惠昌 2011 兵工学报 32 543]
[37] Sun Z G, Chen J, Cao X, Guo L L, Shen L R 2012 Systems Engineering and Electronics 34 1973 (in Chinese) [孙志国, 陈晶, 曹雪, 郭黎利, 申丽然 2012 系统工程与电子技术 34 1973]
[38] [39] Arulampalam M S, Maskell S, Gordon N, Clapp T 2002 IEEE Trans. Signal Process. 50 174
[40] [41] [42] Huang J W, Feng J C, Lv S X 2014 Acta Phys. Sin. 63 050502 (in Chinese) [黄锦旺, 冯久超, 吕善翔 2014 物理学报 63 050502]
[43] Liu K 2007 Ph. D. Dissertation (Hefei: Chinese Science and Technology University) (in Chinese) [刘凯2007博士学位论文(合肥: 中国科学技术大学)]
[44] [45] [46] Cui R T, Li H, Wan J, Dai X C 2009 J. Electron. Inf. Tech. 31 566 (in Chinese) [ 崔荣涛, 李辉, 万坚, 戴旭初 2009 电子与信息学报 31 566]
[47] [48] Tu S L, Chen S H, Zheng H, Wan J 2007 Proceedings of 2007 International Symposium on Intelligent Signal Processing and Communication Systems Xiamen, China, November 28-December 1, 2007 582
[49] Li G H, Li Y A, Yang H 2012 Acta Armamentarii 33 1504 (in Chinese) [李国辉, 李亚安, 杨宏 2012 兵工学报 33 1504]
[50] [51] [52] Mo Y W, Xiao D Y 2005 Control Theory 22 269 (in Chinese) [莫以为, 萧德云 2005 控制理论与应用 22 269]
[53] [54] Sheng Z, Chen J Q, Xu R H 2012 Acta Phys. Sin. 61 069301 (in Chinese) [盛峥, 陈加清, 徐如海 2012 物理学报 61 069301]
[55] [56] Tang B, Li K, Du Z C 2006 Acta Phys. Sin. 55 999 (in Chinese) [唐斌, 李可, 杜正聪 2006 物理学报 55 999]
[57] Liu X, Gao Q, Li X L 2014 Chin. Phys. B 23 010202
[58] [59] Zhang Z T, Zhang J S 2010 Chin. Phys. B 19 104601
[60]
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