基于小波变换的爆破地震信号去噪的应用

运用小波变换在不同的尺度下观察信号局部化特征。由于信号和噪声具有不同的奇异性，它们的二进小波变换模的极大值在不同尺度下的传播特性也不相同。在相邻模极小构成的待选通域中分析出噪声局部极大值所在的选通域进行平滑处理，从而得到局部信号的小波系数，将其反变换重建出去噪后的信号。将该方法用于爆破地震信号去噪声，结果表明：这种方法计算简单，且去噪效果较好。

Application of de-noising in blasting seismic signals based on wavelet transform

Using the wavelet transform, the localization of signal in different scales can be observed. Because characteristics of signal singularity differ from that of noise, the local maximum of their binary wavelet transform modules is also different. Local maximum values of noise are analyzed from adjacent modular minimum and the smoothing is conducted over the pass-regions, at which local maximum of noise is located. The wavelet coefficients of local signal may be gained and the de-noised signal is reconstructed by their inverse transform. The method is used to denoise in blasting seismic data. The result proves that the method is simple and effective.