小波线性软阈值法在航磁资料去噪中的应用

对于高幅度和宽尺度的噪声要素，特别是当有用信息的幅度和噪声尺度相差不大时，使用传统傅里叶滤波方法和一般的小波软阈值方法滤波的效果都不是很好。探讨了George E.Leblanc和 William A.Morris提出的一种基于线性软阈值的航磁去噪方法，对该方法和一般阈值方法的原理和实际效果作了较深入的剖析。通过模型数据和实测航磁数据处理结果的比较，可以看出这种方法能有效消除高频随机噪声和特定尺度的噪声，尤其是在处理类似于尖脉冲的噪声信号时有好的效果，同时又能较好保持原有地质信息。

Application of linear threshold wavelet method in denoising of aeromagnetic data

Traditional Fourier and soft threshold wavelet filtering methods fail to yield satisfactory results for high amplitude and wide extent noises, especially when the noises and signals are in comparable scale. George E. Leb-lanc and William A. Morris proposed a linear threshold method for denoising of aeromagnetic data. This paper discussed the principles of linear threshold method and presented some examples. It was showed by tests on model and real data that linear threshold method can effectively eliminate high-frequency random noises and predefined noises with specific scale, especially spike-like noises.