【摘 要】
：
本文讨论了第二代小波变换的基本原理和变换过程,并将第二代小波变换引入到地震资料去噪处理中,基于提升法的小波变换是一种柔性的小波构造方法,它使用线性、非线性或空间变
【机 构】
：
石油大学(北京)CNPC物探重点实验室
论文部分内容阅读
本文讨论了第二代小波变换的基本原理和变换过程,并将第二代小波变换引入到地震资料去噪处理中,基于提升法的小波变换是一种柔性的小波构造方法,它使用线性、非线性或空间变化的预测和更新算子,并能确保变换的可逆性.通过对模拟数据和实际资料的处理,证明了的它对地震信号去噪具有很好的效果.离散信号的小波去噪可分为三步:小波分解,系数缩减(切除噪声部分),信号重建.目前常用的小波去噪的方法有硬阈值法和软阈值法,这里采用软阈值法去噪.本文的提升变换采用的是Deslauriers-Dubuc(4,2)小波,基于以上变换方法,分别对含噪的模拟数据及实际地震数据进行3级可逆提升变换,对每一级上的细节信号按上述的软域值法进行处理,削减小波系数中的噪声部分,从而实现了信号去噪,结果证明去除随机噪声的效果是令人满意的.
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