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一种基于平移不变的小波阈值去噪算法 被引量:8
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作者 张维强 徐晨 《现代电子技术》 2003年第6期29-31,共3页
经典的 D.L .Donoho小波阈值去噪算法在信号的奇异点处会产生 Pseudo Gibbs现象 ,从而使去噪后的信号在急剧变换部分产生振荡现象。为了抑制 Pseudo Gibbs现象 ,提出了一种基于平移不变的小波阈值去噪方法 ,在一定的平移量范围内 ,对分... 经典的 D.L .Donoho小波阈值去噪算法在信号的奇异点处会产生 Pseudo Gibbs现象 ,从而使去噪后的信号在急剧变换部分产生振荡现象。为了抑制 Pseudo Gibbs现象 ,提出了一种基于平移不变的小波阈值去噪方法 ,在一定的平移量范围内 ,对分析信号进行循环平移 ,然后对这个新信号进行阈值处理 ,得到去噪后的信号 ,再对该信号作相反的循环平移 ,重复这一过程 ,对所获得结果求平均 ,就得到原始信号去噪后的估计信号。仿真实验的结果证明了算法的有效性。 展开更多
关键词 小波变换 平移不变 pseudo-gibbs现象 信号处理 小波阈值去噪算法
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Seislet transform denoising based on total variation minimization
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作者 ZHANG Peng LIU Yang +3 位作者 LIU Cai CUI Fangzi YANG Xueting PEI Sijia 《Global Geology》 2015年第1期59-66,共8页
Attenuation of noise is a persistent problem in seismic exploration. The authors use conventional denoising method to remove noise which may cause vibration near the discontinuity called pseudo-Gibbs artifact.In order... Attenuation of noise is a persistent problem in seismic exploration. The authors use conventional denoising method to remove noise which may cause vibration near the discontinuity called pseudo-Gibbs artifact.In order to remove the artifact,the study proposed a method combining the seislet transform and total variation minimization. Firstly,the data are converted into the seislet transform domain. Secondly,the hard threshold was used for eliminating the noise and keep useful signal,which is the initial input for the next step. Finally,total variation minimization dealed with denoised data to recover boundary information and further eliminated the noise. Synthetic data examples show that the method has feasibility in eliminating random noise and protecting detailed signal,and also shows better results than the classic f-x deconvolution. The field data example also shows effective in practice. It can remove the noise and preserve the discontinuity signal at the same time. 展开更多
关键词 seislet transform total variation minimization hard threshold pseudo-gibbs artifact removingrandom noise
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