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1. 中北大学仪器科学与动态测试教育部重点实验室
2. 中国空空导弹研究院
纸质出版:2010
移动端阅览
王浩全, 王军, 金相男. 基于双曲线阈值函数的小波阈值降噪方法[J]. 中北大学学报(自然科学版), 2010,31(6):625-630.
王浩全, 王军, 金相男. Wavelet Threshold De-Noising Based on Improved Hyperbola Thresholding Function[J]. 2010, 31(6): 625-630.
在分析小波阈值降噪原理的基础上
为了克服硬阈值函数不连续和软阈值函数中估计小波系数与分解小波系数之间存在恒定偏差的问题
构造了一种改进的双曲线阈值函数.该方法通过调整参数可实现阈值函数形状的改变
采用对非重要小波系数的处理
不是均设为0
系数由多项式调节以接近理想小波系数
使得该阈值函数既具有软阈值函数连续、高阶可导的优点
又便于进行各种数学处理.经实验验证
这种方法不仅可以有效地去除噪声
而且还可以保留图像的细节信息
比传统阈值方法更接近最佳情况.
Based on analyzing the principle of wavelet threshold de-nosing
a hyperbola thresholding function is presented in order to overcome the discontinuance of the hard thresholding function and the constant deviation between the estimated wavelet coefficients and the decomposition wavelet coefficients in the soft thresholding function.The shape of new thresholding function can be changed visually by adjusting the parameters of hyperbola.The algorithm is improved by a non-important wavelet coefficient which is not supposed as zero but adjusted to approach its ideal wavelet coefficient by polynomial.The new thresholding function is simple in expression as continuous as the soft thresholding function and has a high order derivative which makes some kinds of mathematical disposals conveniently.At the same time
the new threshold function is more elastic than the soft-threshold and the hard-threshold functions.The simulation results show that the method can remove noise effectively
retain detail information of images
and can be closer than the traditional threshold method to the best situation.
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王福友,刘刚,袁赣南.基于小波阈值算法的海杂波信号去噪[J].雷达与对抗,2009(2):21-25.Wang Fuyou,Liu Gang,Yuan Gannan.Wavelet threshold-based sea clutter signal denoising.Radar and ECM[J],2009(2):21-25.(in Chinese)
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