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中文摘要：
针对随钻声波测井过程中各种噪声干扰造成声波信号失真的问题，提出了使用线性V系统的降噪方法。首先，通过V系统变换将声波测井信号变换到频率域，然后去除其高频分量，再通过V系统反变换获得降噪后的信号。由于V系统是在L2[0，1]空间上的分段线性完备正交函数系，并且具有多分辨性质，所以V系统降噪相比经典的小波降噪有更好的效果。试验结果表明，该方法能够获得较好的降噪信号。
英文摘要：
For acoustic signal distortion problems caused by a variety of noises in acoustic logging while drilling （ LWD）, a denoising method by using a linear V-system was proposed. First, acoustic logging signals are transformed to frequency domain by V-system, and its high-frequency components are removed, then the signals after noise reduction are reconstructed by the inverse V-system transform. V-system is a class of complete orthogonal function system on L2 [ 0, 1 ] , and it is muhiresolution. So the linear discrete V-system transform （DVT） is better than traditional wavelet transform. The test results show that relatively good denoising signals can be obtained by linear DVT.
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