【摘要】 分析了信号和噪声的奇异指数。根据不同奇异指数函数的小波变换的局部模极大值具有不同的传播特性的理论 ,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 ,反变换重建出去噪信号。将该方法用于正弦信号去噪、合成地震信号去噪和实际地震信号去噪 ,结果表明这种方法计算简单且有较好的去噪效果更多还原

【Abstract】 The singularity indexes of signal and noise are analyzed According to the theory that modular maximum values of wavelet transforms of the functions with different singularity indexes have different spreading characteristics, local maximum values of noise are analyzed from adjacent modular minimum and the smothing is conducted over the pass regions, at which local maximum of noise is located Then noise extracted signal is reconstructed by inverse transform This method is used to extract noise from sinusoidal signal, synthetical seismogram and oilfield seismic data respectively The result shows it is simple and effective更多还原