中文摘要：

小波变换方法是近年来发展起来的一种新的数学方法，具有强大的时频分析能力，并广泛地应用到信号处理的各个领域。本文首先简要地介绍了小波变换原理及去噪方法，然后通过阻尼震荡信号、一维地质雷达合成记录和二维地质雷达合成剖面等模型，用db4小波进行了三阶分解，然后根据干扰波的特征进行了小波去噪和干扰波压制，结果表明，小波多尺度分解后，随机噪声主要集中在较低阶的小波细节之中，用小波变换去噪方法，可有效去噪和压制干扰波。对实测的地质雷达资料也进行了处理，取得了较好效果。

英文摘要：

The wavelet transform is a new mathematical method which has been developed in recent years. Wavelet analysis has great ability for time--frequency analysis, and is widely applied to various fields of signal processing. This paper introduces the wavelet transform principles and the de--noising methods using wavelet transform. By the multi--scale decomposition of contaminated signals with random noises, we find random noises are mainly concentrated in the lower scale wavelet in different model experiments. Finally, we apply wavelet transform to de--noising the field ground penetrating radar data.