小波变换在提高资料的信噪比和分辨率中的应用

Application of wavelet transform in improving both signal/noise ratio and resolution of seismic data

小波变换在信号分析中具有良好的局部化特性。在小波变换域中，有效信号的相关性和随机噪声的随机性仍然保留，因此可以在小波变换域内对地震资料进行去噪处理；小波变换作为频率和时间的二元函数，使之可以很方便地在频率和时间域中同时进行地震波能量的吸收衰减补偿。试验证明，利用小波变换去噪和提高分辨率，不仅方便有效，而且有很好的保真度。

Wavelet transform is of good localization property in signal analysis. Both correlation of effective signals and randomness of random noises remain in wavelet transform domain, so that noise elimination can be achieved in the dornain. Wavelet transform involves the two-variate function of frequency and time, which makes it convenient to simultaneously compensate for attenuation of seismic energy in frequency and time domains. It is experimentally shown that to achieve noise elimination and resolution improvement by using wavelet transform brings desirable convenience,high efficiency and good fidelity.