改进的小波空域相关滤波算法

doi:10.13229/j.cnki.jdxbgxb201503047

摘要/Abstract

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

路伟涛, 杨文革, 洪家财. 改进的小波空域相关滤波算法[J]. 吉林大学学报(工学版), 2015, 45(3): 1005-1011.

LU Wei-tao, YANG Wen-ge, HONG Jia-cai. Improved spatially selective noise filtration algorithm[J]. 吉林大学学报(工学版), 2015, 45(3): 1005-1011.

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