电光与控制, 2020, 27 (4): 15, 网络出版: 2020-06-15  

基于小波基函数选取与改进阈值函数的脉冲星信号去噪算法研究

A Pulsar Signal Denoising Algorithm Based on Wavelet Basis Function Selection and Improved Threshold Function
作者单位
火箭军工程大学导弹工程学院, 西安 710025
摘要
在利用小波变换对脉冲星信号进行消噪时, 小波基、分解层的选取以及阈值函数的构建很大程度上决定了脉冲星导航的准确性。首先研究了小波基与小波分解系数之间的从属关系, 进而根据小波分解系数与原始信号的互相关大小来筛选合理的小波基和分解层。在对小波分解系数的研究中发现,噪声形成的小波系数随着分解层的增加而减小, 考虑到这个特点, 构建了一个基于分解层的阈值函数。实验结果表明, 相比于传统小波域消噪方法, 所提方法不仅能够准确地筛选出最优小波基和最佳分解层, 而且利用所构建的阈值函数进行消噪可以明显改善去噪后脉冲星信号的信噪比、峰值信噪比以及峰位误差, 为脉冲星信号消噪提供了新思路。
Abstract
When the pulsar signal is denoised by using wavelet transform, the selection of wavelet basis and decomposition layer and the construction of the threshold function have a great effect on the accuracy of pulsar navigation.In this paper, the subordination relationship between the wavelet basis and the wavelet decomposition coefficient is studied firstly, and then the reasonable wavelet basis and decomposition layer are screened according to the cross correlation between the wavelet decomposition coefficient and the original signal.During the study of wavelet decomposition coefficients, it is found that the wavelet coefficients formed by noise decrease with the increase of the decomposition layer.Based on this feature, a threshold function based on the decomposition layer is constructed.The experimental results show that, compared with the traditional wavelet-domain denoising method, the proposed method can not only accurately select the optimal wavelet basis and the optimal decomposition layer, but also effectively improve the Signal-to-Noise Ratio (SNR), Peak Signal-to-Noise Ratio (PSNR) and decrease the Error of Peak Position (EPP) of the pulsar signal after denoising with our threshold function.The study provides a new idea for the denoising of pulsar signals.

高迎东, 王宏力, 由四海, 冯磊, 何贻洋, 刘珂. 基于小波基函数选取与改进阈值函数的脉冲星信号去噪算法研究[J]. 电光与控制, 2020, 27(4): 15. GAO Yingdong, WANG Hongli, YOU Sihai, FENG Lei, HE Yiyang, LIU Ke. A Pulsar Signal Denoising Algorithm Based on Wavelet Basis Function Selection and Improved Threshold Function[J]. Electronics Optics & Control, 2020, 27(4): 15.

关于本站 Cookie 的使用提示

中国光学期刊网使用基于 cookie 的技术来更好地为您提供各项服务,点击此处了解我们的隐私策略。 如您需继续使用本网站,请您授权我们使用本地 cookie 来保存部分信息。
全站搜索
您最值得信赖的光电行业旗舰网络服务平台!