【摘要】 第二代小波变换是从传统小波理论发展起来的一个分支,与第一代小波变换相比它有如下特点:①继承了第一代小波的多分辨率特性;②不依赖于傅里叶变换;③易实现快速算法;④逆变换易实现;⑤可实现非线性小波变换等。目前对第二代小波的研究还处于起步阶段,其应用主要是在图像处理领域。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,通过对模拟数据和实际资料的处理,证明了它对地震信号去噪具有很好的效果。更多还原

【Abstract】 Second-generation wavelet transform is a branch derived from traditional wavelet theory. Compared with the first-generation wavelet transform, its features include: ①keep the multi-resolution feature of first-generation wavelet. ②Independent of Fourier Transform ③Fast a rithmetic is easily to be achieved.④Reverse transform is easier.⑤Non-linear wavelet transform is available, etc. At presently, the research for second-generation wavelet transform is on the earlier stage and its application is mainly limited to image processing field The principle and procedures of second-generation wavelet transform and application in the de-noising of seismic data are discussed in the paper. Examples on synthetic as well as field data prove that it is a new effective squelch method.更多还原