地震信号小波变换的去噪方法

Research on seismic signal denoising using wavelet transform

运用模极大值法基本原理进行地震信号去噪研究,进而运用二次小波变换原理通过低层系数处理对常用小波去噪方法进行改进。通过合成不同的染噪地震信号,由一系列仿真实验对模拟地震信号进行不同尺度的小波分解与重构,从而实现最优小波分解尺度上的地震信号噪声去除。与常用的快速傅立叶转换方法比较,仿真结果表明,该小波变换方法能够有效去除地震勘探信号中的噪声,并且针对系数的二次小波变换可以明显改进去噪的效果。

The research on seismic signal denoising using the fundamental theory of modulus maximum method is carried out, then wavelet transform method can be improved by bringing quadric wavelet transform to the lower decomposing coefficients. With different synthetic noisy seismic signals, the seismic signal denoising is achieved at the best scale of wavelet transform by several simulated experiments using wavelet transform to decompose and reconstruct the signals at different scales. With compare to the fast Fourier transform （FFT） method, the results of simulated experiments show that, wavelet transform can eliminate the noise of seismic signal efficiently, and the results show that quadric wavelet transform has good effect on improving the seismic signal denoising.