基于小波变换域上的KL变换的地震信号去噪方法

基于相邻地震道的有效波在波形及能量上有较强的相关性及改变各个频率成分的信噪比．有益于提高分辨率的观点，本文提出了基于小波变换域上的KL变换去噪方法．该方法的主要思想是：将地震记录进行小波分解，形成地震记录的分时、分频小波包剖面，然后利用相邻道相关的性质，用KL变换进行去噪，再将各个小波包剖面重构为去噪后的地震剖面．理论记录计算及实际地震剖面的处理结果表明：基于小波变换的分时、分频KL变换去噪方法能有效地提高地震剖面的信噪比和分辨率．

The Method of Reduction of Noise by Using KL Transform in Wavelet Domain

In view of the fact that there are correlations among the waveforms and energy of the effectivewaves of neighboring seismic traces, and the fact that improving different signal/noise ratios occuring in differentfrequency bands and different time intervals of a seismic section is benificial to improving resolution, we suggest themethod of reduction of noise by using KL transform in wavelet domain ,The manin idea of the method is to de-compose every seismic trace to form time-frequency interval wavelet package sevtions, then to separate signalsfrom noises by using KL transform, and finally, to reconstruct the denoised seismic section from wavelet packagesection, The processing results of theoretical and real data show that time-frequency interval KL transform inwavelet domain can improve boththe singal/moise ratio and the resolution of seismic section.