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脉冲星辐射信号具有极低的信噪比, 传统降噪方法难以在抑制噪声的同时保留其细节信息. 为此, 提出了一种小波域脉冲星信号消噪方法. 在小波域, 利用一种可导的阈值函数和一种自适应阈值选取方法, 对含噪脉冲星信号进行小波域阈值去噪处理, 并利用信噪比(SNR)、 均方根误差(RMSE)、 峰值相对误差(REPV) 以及峰位误差(EPP) 四项指标来对去噪效果进行评价. 实验结果表明, 与软阈值与硬阈值法相比, 该方法能在有效去除含噪脉冲星信号中的噪声、 显著提高其信噪比的同时, 更有效地保留原始信号中的有用信息, 同时可以获得更小的均方根误差、 脉冲峰值相对误差与峰位误差.Because of the extremely low signal-to-noise ratio of pulsar signals, it is difficult to suppress noise while preserving details by the traditional denoise methods. Therefore, a wavelet domain pulsar signal denoising method based on a differentiable thresholding function and an adaptive threshold selection technique is presented. The signal-to-noise ratio(SNR), the root mean square error(RMSE), the relative error of the peak value (REPV) and the error of the peak position (EPP) are used to evaluate the performance of the proposed denoising method. Experimental results show that the proposed method can remove the pulsar signal noise and keep the useful information effectively. At the same time, it can achieve a higher PSNR, a lower RMSE, a lower REPV and a lower EPP than the soft thresholding and hard thresholding methods.
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Keywords:
- wavelet /
- pulsar signal /
- adaptive threshold /
- denoising
[1] Ni G R, Yang T G, Ke X Z, Zhao D L 2000 Journal of Xidian University 27 781 (in Chinese) [倪广仁, 杨廷高, 柯熙政, 赵当丽 2000 西安电子科技大学学报 27 781]
[2] [3] Su Z, Xu L P, Wang Y, Xie Z H, Luo N 2010 Systems Engineering and Electronics 32 2501 (in Chinese) [苏哲, 许录平, 王勇, 谢振华, 罗楠 2010 系统工程与电子技术 32 2501]
[4] Sun J R, Xu L P, Wang T 2010 Journal of Xidian University 37 1059 (in Chinese) [孙景荣, 许录平, 王婷 2010 西安电子科技大学学报 (自然科学版) 37 1059]
[5] [6] Xie Z H, Xu L P, Ni G R 2008 Acta Phys. Sin. 57 6683 (in Chinese) [谢振华, 许录平, 倪广仁 2008 57 6683]
[7] [8] Lan S C, Xu G D, Zhang J X 2010 Systems Engineering and Electronics 32 650 (in Chinese) [兰盛昌, 徐国栋, 张锦绣 2010 系统工程与电子技术 32 650]
[9] [10] [11] Li J X, Ke X Z 2010 Acta Phys. Sin. 59 8304 (in Chinese) [李建勋, 柯熙政2010 59 8304]
[12] Zhong C X, Yang T G 2007 Acta Phys. Sin. 56 6157 (in Chinese) [仲崇霞, 杨廷高2007 56 6157]
[13] [14] Zhu X M, Liao F C, Tang Y Y 2006 Acta Astronomica Sinica 47 328 (in Chinese) [朱晓明, 廖福成, 唐远炎 2006 天文学报 47 328]
[15] [16] [17] Donoho D L 1995 IEEE Transactions on IT 41 613
[18] Wang L, Ke X Z, Ni G R 2008 Astronomical Research Technology 5 49(in Chinese) [汪丽, 柯熙政, 倪广仁 2008 天文研究与技术 (国家天文台台刊) 5 49]
[19] [20] [21] Zhang X P, Mita D D 1998 IEEE Signal Processing Letters 5 265
[22] [23] Mehdi N, Hossein N P 2009 Neurocomputing 72 1012
[24] [25] Yan H, Pan Y J, Liu J L, Zhang X C 2009 Chinese Journal of Scientific Instrument 30 198 (in Chinese) [闫河, 潘英俊, 刘加伶, 张小川 2009 仪器仪表学报 30 198]
[26] [27] Shark L K, Yu C 2000 Electronics Letters 36 581
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[1] Ni G R, Yang T G, Ke X Z, Zhao D L 2000 Journal of Xidian University 27 781 (in Chinese) [倪广仁, 杨廷高, 柯熙政, 赵当丽 2000 西安电子科技大学学报 27 781]
[2] [3] Su Z, Xu L P, Wang Y, Xie Z H, Luo N 2010 Systems Engineering and Electronics 32 2501 (in Chinese) [苏哲, 许录平, 王勇, 谢振华, 罗楠 2010 系统工程与电子技术 32 2501]
[4] Sun J R, Xu L P, Wang T 2010 Journal of Xidian University 37 1059 (in Chinese) [孙景荣, 许录平, 王婷 2010 西安电子科技大学学报 (自然科学版) 37 1059]
[5] [6] Xie Z H, Xu L P, Ni G R 2008 Acta Phys. Sin. 57 6683 (in Chinese) [谢振华, 许录平, 倪广仁 2008 57 6683]
[7] [8] Lan S C, Xu G D, Zhang J X 2010 Systems Engineering and Electronics 32 650 (in Chinese) [兰盛昌, 徐国栋, 张锦绣 2010 系统工程与电子技术 32 650]
[9] [10] [11] Li J X, Ke X Z 2010 Acta Phys. Sin. 59 8304 (in Chinese) [李建勋, 柯熙政2010 59 8304]
[12] Zhong C X, Yang T G 2007 Acta Phys. Sin. 56 6157 (in Chinese) [仲崇霞, 杨廷高2007 56 6157]
[13] [14] Zhu X M, Liao F C, Tang Y Y 2006 Acta Astronomica Sinica 47 328 (in Chinese) [朱晓明, 廖福成, 唐远炎 2006 天文学报 47 328]
[15] [16] [17] Donoho D L 1995 IEEE Transactions on IT 41 613
[18] Wang L, Ke X Z, Ni G R 2008 Astronomical Research Technology 5 49(in Chinese) [汪丽, 柯熙政, 倪广仁 2008 天文研究与技术 (国家天文台台刊) 5 49]
[19] [20] [21] Zhang X P, Mita D D 1998 IEEE Signal Processing Letters 5 265
[22] [23] Mehdi N, Hossein N P 2009 Neurocomputing 72 1012
[24] [25] Yan H, Pan Y J, Liu J L, Zhang X C 2009 Chinese Journal of Scientific Instrument 30 198 (in Chinese) [闫河, 潘英俊, 刘加伶, 张小川 2009 仪器仪表学报 30 198]
[26] [27] Shark L K, Yu C 2000 Electronics Letters 36 581
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