吉林大学学报(工学版) ›› 2015, Vol. 45 ›› Issue (3): 1005-1011.doi: 10.13229/j.cnki.jdxbgxb201503047

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改进的小波空域相关滤波算法

路伟涛, 杨文革, 洪家财   

  1. 中国人民解放军装备学院 光电装备系,北京 101416
  • 收稿日期:2013-08-30 出版日期:2015-05-01 发布日期:2015-05-01
  • 作者简介:路伟涛(1985-),男,博士研究生.研究方向:航天器测控,干涉测量技术.
  • 基金资助:
    总装试验技术研究项目(2011SY41A7001)

Improved spatially selective noise filtration algorithm

LU Wei-tao, YANG Wen-ge, HONG Jia-cai   

  1. Department of Optical and Electrical Equipment, Academy of Equipment, PLA, Beijing 101416,China
  • Received:2013-08-30 Online:2015-05-01 Published:2015-05-01

摘要: 针对小波空域相关滤波算法存在不同尺度下小波系数偏移引起的相关性减弱和低尺度小波系数受噪声影响较大等问题,提出了改进的小波空域相关滤波算法。理论推导了小波系数在各分解层间的相对偏移量,并提出了移位相关算法。考虑到分解层数越高,信号的小波系数相关性越强,且信号小波系数在分解过程中存在发散现象,提出了高层处理向低层处理提供约束的逆序处理方法。根据统计原理对最高层小波系数进行了阈值滤波。最后以Blocks信号和Heavy Sine信号为例,对比了所提改进算法与传统小波空域相关滤波算法及两种已有改进算法的性能,并将滤波算法应用于某同步卫星的群时延估计中。蒙特卡罗仿真和实测数据处理结果表明本文所提改进算法的降噪效果更好。

关键词: 信息处理技术, 小波空域相关滤波, 移位相关, 逆序处理, 阈值滤波, 群时延估计

Abstract: In traditional Spatially Selective Noise Filtration (SSNF), the correlation is weakened by wavelet coefficient shift among different decomposition scales, and the wavelet coefficients are seriously affected by the noise at fine scales. To resolve these problems an improved Spatially Selective Noise Filtration (ISSNF) algorithm is proposed. The relative shift of wavelet coefficients between two adjacent scales is deduced, and then a shift correlation algorithm is proposed. Considering that the higher the scale is, the stronger the correlation of wavelet coefficient is, and that divergence happens during decomposition, a reverse processing method is proposed, in which constraints are provided from higher scale to lower scale. According to statistic principle, the wavelet coefficient of the highest is processed by threshold filtering. The performances of the proposed algorithm, the traditional algorithm and two existing improved algorithms are compared by processing Blocks signal and Heavy Sine signal. Moreover, the above filtration algorithms are applied in group delay estimation of certain GEO satellite. Results of Monte Carlo simulation and processing of measured data demonstrate that the performance of the proposed algorithm is better in noise reduction.

Key words: information processing technology, ssnf, shift correlation, reverse order processing, threshold filtering, group delay estimation

中图分类号: 

  • TN98
[1] 潘泉,孟晋丽,张磊,等.小波滤波方法及应用[J]. 电子与信息学报,2007,29(1):236-242.
Pan Quan, Meng Jin-li, Zhang Lei, et al. Wavelet filtering method and its application[J]. Journal of Electronics & Information Technology,2007,29(1):236-242.
[2] Witkin A P. Scale space filtering[C]∥Processing of 8th International Joint Conference on Artificial Intelligence, Karlsruhe,Germany,1983:1019-1021.
[3] Xu Yan-sun, Weaver J B, Healy D M, et al.Wavelet transform domain filters: a spatially selective noise filtration technique[J]. IEEE Trans on Image Processing,1994,3(6):747-758.
[4] Pan Quan,Zhang Lei,Dai Guan-zhong,et al. Two denoising methods by wavelet transform[J]. IEEE Trans on Signal Processing,1999,47(12):3401-3406.
[5] 赵瑞珍,屈汉章,宋国乡. 基于小波系数区域相关性的阈值滤波算法[J]. 西安电子科技大学学报:自然科学版,2001,28(3):324-327.
Zhao Rui-zhen,Qu Han-zhang,Song Guo-xiang. A threshold filtering algorithm based on the region relativity of the wavelet coefficients[J]. Journal of Xi-Dian University,2001,28(3):324-327.
[6] 苏哲,许录平,王勇,等. 改进小波空域相关滤波的脉冲星微弱信号降噪[J]. 系统工程与电子技术, 2010,32(6):2500-2505.
Su Zhe,Xu Lu-ping,Wang Yong,et al. Pulsar weak signal denoising based on improved wavelet spatial correlation filtering[J]. Journal of Systems Engineering and Electronics,2010,32(6):2500-2505.
[7] 王敏君,熊邦书,黄丽贞,等. 基于小波尺度相关的图像清晰度判别方法[J]. 计算机系统应用,2010,19(8):164-167.
Wang Min-jun,Xiong Bang-shu, Huang Li-zhen,et al. Image definition evaluation method based on wavelet scale correlation[J]. Computer Systems & Applications,2010,19(8):164-167.
[8] Zhang L, Bao P. Denoising by spatial correlation thresholding[J]. IEEE Trans on Circuits and Systems for Video Technology,2003,13(6):535-538.
[9] 祝传广,邓喀中,范洪冬. 基于尺度空间相关的自适应小波滤波算法研究[J]. 苏州大学学报:自然科学版,2012,28(3):32-36.
Zhu Chuan-guang,Deng Ka-zhong,Fan Hong-dong. Adaptive wavelet threshold for signal de-noising based on the scale space correlation[J]. Journal of Suzhou University(Natural Science Edition),2012,28(3):32-36.
[10] 向东阳,吴正国,胡文彪, 等. 改进的小波变换系数相关去噪方法[J]. 振动、测试与诊断,2010,30(5):561-565.
Xiang Dong-yang, Wu Zheng-guo, Hu Wen-biao,et al. Improved denoising algorithm using correlation of wavelet coefficient[J]. Journal of Vibration Measurment & Diagnosis,2010,30(5):561-565.
[11] 吴永超,马秀荣,张媛. 一种改进的小波系数相关滤波算法[J]. 信息与电子工程,2012,10(5):604-607.
Wu Yong-chao, Ma Xiu-rong, Zhang Yuan. An improved denoising algorithm using correlation of wavelet coefficients[J]. Information and Electronic Engineering, 2012,10(5):604-607.
[12] 路伟涛,杨文革,洪家财, 等. FX型相关处理方案及野值剔除算法[J]. 中国空间科学技术,2012,32(6):54-61.
Lu Wei-tao,Yang Wen-ge,Hong Jia-cai,et al. FX correlation scheme and improvement on delete algorithm[J]. Chinese Space Science and Technology, 2012,32(6):54-61.
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