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In order to improve the de-noising effect of the pulsar signal, an empirical mode decomposition (EMD) denoising algorithm based on the prediction of noise mode cell is put forward. The core steps of the proposed method is as follows: firstly, the noisy pulsar signal is decomposed into a group intrinsic mode function (IMF) by EMD, and the noise mode cell is predicted according to the IMF coefficients statistics and local minimum mean square error criteria. The selected noise mode cells are set to be zero. Then the IMF which has been processed according to noise mode cell prediction is denoised by optimal mode cell proportion shrinking, for removing the noise and retaining the signal details. The experimental results show that compared with the Sure Shrink wavelet threshold algorithm, Bayes Shrink wavelet threshold algorithm and the EMD mode cell proportion shrinking algorithm, the proposed method performs well in removing the pulsar signal noise and retaining the signal details information. The proposed method can achieve a higher signal-to-noise, the lower root mean square error, error of the peak position, relative error of the peak value and phase error.
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Keywords:
- pulsar signal denoising /
- empirical mode decomposition /
- noise mode cell predicting /
- local mean square error
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[15] Liu J, Ma J, Tian J W 2008 Comput. Engin. Appl. 44 212 (in Chinese) [刘劲, 马杰, 田金文 2008 计算机工程与应用 44 212]
[16] Sun S M 2011 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese) [孙守明 2011 博士学位论文(长沙: 国防科学技术大学)]
[17] Wang W B, Zhang X D, Wang X L 2013 Acta Phys. Sin. 62 069701 (in Chinese) [王文波, 张晓东, 汪祥莉 2013 62 069701]
[18] Qu C S, Lu T Z, Tan Y 2010 Acta Autom. Sin. 36 67 (in Chinese) [曲从善, 路延镇, 谭营 2010 自动化学报 36 67]
[19] Kopsinis K, Mclaughlin S 2009 IEEE Trans. Signal Proc. 57 1351
[20] Wu Z, Huang N E 2004 Proc. Roy. Soc. Lond. A 460 1597
[21] Xu X, Wu X 2003 Sci. China G 46 104
[22] Ge M Y, Lu F J, Qu J L, Zheng S J, Chen Y, Han D W 2012 Astrophys. J. Suppl. Ser. 199 1
[23] Chang S, Yu B, Vetterli M 2000 IEEE Trans. Image Proc. 9 1532
[24] Donoho D L, Johnstone I M 1995 J. Am. Statist. Associat. 90 1200
[25] Du N W, Guo L Q 2007 J. Electron. Measur. Instrum. 21 15 (in Chinese) [杜念文, 郭利强 2007 电子测量与仪器学报 21 15]
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[1] Sheikh S I, Pines D J, Ray P S, Wood K S, Michael N L, Wolff M T 2006 J. Guid. Control Dynam. 29 49
[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 61 119701]
[3] Ji P Y, Zhu J 2008 Chin. Phys. B 17 356
[4] Wang P, Zhao B S, Sheng L Z, Hu H J, Yan Q R 2012 Acta Phys. Sin. 61 209702 (in Chinese) [王朋, 赵宝升, 盛立志, 胡慧君, 鄢秋蓉 2012 61 209702]
[5] Hu H J, Zhao B S, Sheng L Z, Yan Q R 2011 Acta Phys. Sin. 60 029701 (in Chinese) [胡慧君, 赵宝升, 盛立志, 鄢秋蓉 2011 60 029701]
[6] Su Z, Xu L P, Wang T 2011 Acta Phys. Sin. 60 119701 (in Chinese) [苏哲, 许录平, 王婷 2011 60 119701]
[7] Bian X, Mei D C, Zhang L 2001 Chin. Phys. 10 662
[8] Yu H, Jiang Z J 2010 Chin. Phys. Lett. 27 089701
[9] 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]
[10] 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 61 139701]
[11] Zhu X M, Liao F C, Tang Y Y 2006 Acta Astron. Sin. 47 328 (in Chinese) [朱晓明, 廖福成, 唐远炎 2006天文学报 47 328]
[12] 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]
[13] 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. Roy. Soc. Lond. A 454 903
[14] Gong Z Q, Zou M W, Gao X Q, Dong W J 2005 Acta Phys. Sin. 54 3948 (in Chinese) [龚志强, 邹明玮, 高新全, 董文杰 2005 54 3948]
[15] Liu J, Ma J, Tian J W 2008 Comput. Engin. Appl. 44 212 (in Chinese) [刘劲, 马杰, 田金文 2008 计算机工程与应用 44 212]
[16] Sun S M 2011 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese) [孙守明 2011 博士学位论文(长沙: 国防科学技术大学)]
[17] Wang W B, Zhang X D, Wang X L 2013 Acta Phys. Sin. 62 069701 (in Chinese) [王文波, 张晓东, 汪祥莉 2013 62 069701]
[18] Qu C S, Lu T Z, Tan Y 2010 Acta Autom. Sin. 36 67 (in Chinese) [曲从善, 路延镇, 谭营 2010 自动化学报 36 67]
[19] Kopsinis K, Mclaughlin S 2009 IEEE Trans. Signal Proc. 57 1351
[20] Wu Z, Huang N E 2004 Proc. Roy. Soc. Lond. A 460 1597
[21] Xu X, Wu X 2003 Sci. China G 46 104
[22] Ge M Y, Lu F J, Qu J L, Zheng S J, Chen Y, Han D W 2012 Astrophys. J. Suppl. Ser. 199 1
[23] Chang S, Yu B, Vetterli M 2000 IEEE Trans. Image Proc. 9 1532
[24] Donoho D L, Johnstone I M 1995 J. Am. Statist. Associat. 90 1200
[25] Du N W, Guo L Q 2007 J. Electron. Measur. Instrum. 21 15 (in Chinese) [杜念文, 郭利强 2007 电子测量与仪器学报 21 15]
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