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针对脉冲星信号的消噪问题, 提出了一种基于模态单元比例萎缩的经验模态分解(EMD)消噪方法. 利用经验模态分解将含噪脉冲星信号分解为一组内蕴模态函数(IMF), 将IMF中两个过零点间的部分定义为模态单元, 以模态单元为基本单位构造最优比例萎缩因子, 对IMF中的每个模态单元进行比例萎缩去噪, 进而建立基于模态单元比例萎缩的脉冲星信号滤波模型.对含噪脉冲星信号进行了消噪实验分析, 实验结果表明, 与小波硬阈值消噪法、比例萎缩小波消噪法和基于模态单元阈值的EMD消噪法相比, 该方法可以更有效地去除脉冲星信号中的噪声, 同时更好地保留了原信号中的有用细节信息.In order to improve the denoising quality of the pulsar signal, an empirical mode decomposing method (EMD) of pulsar signal denoising based on mode cell proportion shrinking is proposed. Firstly, the pulsar signal is decomposed into a series of intrinsic mode functions (IMF), and the part between the two adjacent zero-crossing within IMF is defined as a mode cell. Then, the optimal proportional shrinking factor is constructed by treating mode cell as the basic unit of analysis. Finally, the all mode cells within IMF are denoised by proportion shrinking, and the mode cell proportion shrinking denoising model is established. The experimental results show that compared with the two EMD denoising algorithms based on coefficient threshold and mode cell threshold, the proposed method can more effectively remove the pulsar signal noise, with better preserving the useful detail information in the original signal.
[1] Taylor J H 1991 Proc. IEEE 79 1054
[2] Xie Q, Xu L P, Zhang H, Luo N 2012 Acta Phys. Sin. 61 119701 (in Chinese) [谢强, 许录平, 张华, 罗楠 2012 物理学报 61 119701]
[3] Sheikh S I, Pines D J, Ray P S, Wood K S, Michael N L, Wolff M T 2006 J. Guidance, Control and Dynamics 29 49
[4] Zhu J, Li P Y 2008 Chin Phys. B 17 356
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[9] Zhang H, Xu L P, Xie Q, Luo N 2011 Acta Phys. Sin. 60 049701 (in Chinese) [张华, 许录平, 谢强, 罗楠 2011 物理学报 60 049701]
[10] Li Y Q, Li P, Yan X P, Chen H M 2008 Transactions of Beijing Institute of Technology 28 723 (in chinese) [李月琴, 粟苹, 闫晓鹏, 陈慧敏 2008 北京理工大学学报 28 723]
[11] Zhang H, Chen X H, Yang H Y 2011 OGP 46 70 (in Chinese) [张华, 陈小宏, 杨海燕 2011 石油地球物理勘探 46 70]
[12] Huang N E, Shen Z, Long S R, Wu M C, Shih H H, Zheng Q, Yen N C, Tung C C, Liu H H 1998 Proc. of the Royal Society of London A 454 903
[13] Flandrin P, Paulo G 2004 Int. J. Wavel. Multiresol. Inform. Proc. 2 1
[14] Gao X Q, Dong W J, Gong Z Q, Zou M W 2005 Acta Phys. Sin. 54 3948 (in Chinese) [高新全, 董文杰, 龚志强, 邹明玮 2005 物理学报 54 3948]
[15] Boudraa A, Cexus J 2007 IEEE Trans. Instrum. Measur. 56 2196
[16] Olufemi A, Vladimir A, Auroop R 2011 IEEE Sens. J. 11 2565
[17] Kopsinis K, Mclaughlin S 2009 IEEE Trans. Signal Proc. 57 1351
[18] Wu Y F, Qiu Y, Yang Y F, Ren X M 2010 Acta Phys. Sin. 59 3778 (in Chinese) [吴亚锋, 裘炎, 杨永锋, 任兴民 2010 物理学报 59 3778]
[19] Qu C S, Lu T Z, Tan Y 2010 Acta Autom. Sin. 36 67 (in Chinese) [曲从善, 路廷镇, 谭营 2010 自动化学报 36 67]
[20] Jenet F A, Anderson S B 1998 Publica. Astrono. Soc. Pacific 100 1467
[21] Wu Z H, Norden E H 2004 Proc. R. Soc. Lond. A 460 1597
[22] Sheng Z, Xie S Q, Pan C Y 2006 Probability Theory and Mathematical Statistics (Beijing: Higher Education Press) p350 (in Chinese) [盛 骤, 谢式千, 潘承毅 2006 概率论与数理统计(北京: 高等教育出版社) 第350页]
[23] Chang S, Yu B, Vetterli M 2000 IEEE Ttrans. Image Proc. 9 1532
[24] Marian K 2003 IEEE Signal Proc. Lett. 10 324
[25] Donoho D L, Johnstone I M 1995 J. Am. Statist. Association 90 1200
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[1] Taylor J H 1991 Proc. IEEE 79 1054
[2] Xie Q, Xu L P, Zhang H, Luo N 2012 Acta Phys. Sin. 61 119701 (in Chinese) [谢强, 许录平, 张华, 罗楠 2012 物理学报 61 119701]
[3] Sheikh S I, Pines D J, Ray P S, Wood K S, Michael N L, Wolff M T 2006 J. Guidance, Control and Dynamics 29 49
[4] Zhu J, Li P Y 2008 Chin Phys. B 17 356
[5] Zhao B S, Hu H J, Sheng L Z, Yan Q R 2011 Acta Phys. Sin. 60 029701 (in chinese) [赵宝升, 胡慧君, 盛立志, 鄢秋荣 2011 物理学报 60 029701]
[6] Hu H J, Zhao B S, Sheng L Z, Yan Q R, Yang H, Chen B M 2011 Sci. Sin. Phys. Mech. & Astron. 41 1015 (in chinese) [胡慧君, 赵宝升, 盛立志, 鄢秋荣, 杨颢, 陈宝梅 2011 中国科学: 物理学、 力学、天文学 41 1015]
[7] Yan D, Xu L P, Xie Z H 2007 J. Xi'an Jiaotong Univ. 41 1193 (in chinese) [阎迪, 徐录平, 谢振华 2007 西安交通 大学学报 41 1193]
[8] 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]
[9] Zhang H, Xu L P, Xie Q, Luo N 2011 Acta Phys. Sin. 60 049701 (in Chinese) [张华, 许录平, 谢强, 罗楠 2011 物理学报 60 049701]
[10] Li Y Q, Li P, Yan X P, Chen H M 2008 Transactions of Beijing Institute of Technology 28 723 (in chinese) [李月琴, 粟苹, 闫晓鹏, 陈慧敏 2008 北京理工大学学报 28 723]
[11] Zhang H, Chen X H, Yang H Y 2011 OGP 46 70 (in Chinese) [张华, 陈小宏, 杨海燕 2011 石油地球物理勘探 46 70]
[12] Huang N E, Shen Z, Long S R, Wu M C, Shih H H, Zheng Q, Yen N C, Tung C C, Liu H H 1998 Proc. of the Royal Society of London A 454 903
[13] Flandrin P, Paulo G 2004 Int. J. Wavel. Multiresol. Inform. Proc. 2 1
[14] Gao X Q, Dong W J, Gong Z Q, Zou M W 2005 Acta Phys. Sin. 54 3948 (in Chinese) [高新全, 董文杰, 龚志强, 邹明玮 2005 物理学报 54 3948]
[15] Boudraa A, Cexus J 2007 IEEE Trans. Instrum. Measur. 56 2196
[16] Olufemi A, Vladimir A, Auroop R 2011 IEEE Sens. J. 11 2565
[17] Kopsinis K, Mclaughlin S 2009 IEEE Trans. Signal Proc. 57 1351
[18] Wu Y F, Qiu Y, Yang Y F, Ren X M 2010 Acta Phys. Sin. 59 3778 (in Chinese) [吴亚锋, 裘炎, 杨永锋, 任兴民 2010 物理学报 59 3778]
[19] Qu C S, Lu T Z, Tan Y 2010 Acta Autom. Sin. 36 67 (in Chinese) [曲从善, 路廷镇, 谭营 2010 自动化学报 36 67]
[20] Jenet F A, Anderson S B 1998 Publica. Astrono. Soc. Pacific 100 1467
[21] Wu Z H, Norden E H 2004 Proc. R. Soc. Lond. A 460 1597
[22] Sheng Z, Xie S Q, Pan C Y 2006 Probability Theory and Mathematical Statistics (Beijing: Higher Education Press) p350 (in Chinese) [盛 骤, 谢式千, 潘承毅 2006 概率论与数理统计(北京: 高等教育出版社) 第350页]
[23] Chang S, Yu B, Vetterli M 2000 IEEE Ttrans. Image Proc. 9 1532
[24] Marian K 2003 IEEE Signal Proc. Lett. 10 324
[25] Donoho D L, Johnstone I M 1995 J. Am. Statist. Association 90 1200
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