论文详情

一种均匀网格反泄露傅里叶变换的频率域高效实现方法

石油物探

2018年 57卷第No. 1期

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Title

Efficient implementation of regular grid antileakage Fourier transform in the frequency domain

单位

(1.西安交通大学,陕西西安710049;2.酒泉卫星发射中心,甘肃酒泉732750;3.中国科学院地质与地球物理研究所,北京100029)

Organization

(1.Xi’an Jiaotong University,Xi’an 710049,China;2.Jiuquan Satellite Launch Center,Jiuquan 732750,China;3.Institute of Geology and Geophysics,Chinese Academy of Sciences,Beijing 100029,China)

摘要

反泄露傅里叶变换已在地震数据规则化、多维数据去噪及数据压缩等领域得到广泛应用,但其多在时间域实现,计算效率不高。对均匀网格反泄露傅里叶变换的常规实现方法进行了改进,在频率域给出一种均匀网格反泄露傅里叶变换的高效实现方法。该方法在频率域寻找傅里叶系数极大值及其位置,通过在频率域减去SINC函数,避免了常规实现方法在每次迭代过程中所使用的离散傅里叶变换及逆离散傅里叶变换,大幅减少了均匀网格反泄露傅里叶变换的运算量,提高了均匀网格反泄露傅里叶变换的计算效率。利用合成数据对方法进行了验证,结果表明,该方法不仅能够明显减少频谱泄露现象,提高稀疏表示性能,而且较常规实现方法提高了计算效率。

Abstract

The antileakage Fourier transform (ALFT) has been widely used in seismic data regularization,multi-dimensional denoising,and data compression.However,the computational efficiency of regular grid ALFT is not high enough in the time domain to process massive seismic data,because it implements one discrete Fourier transform to convert the signal from the time domain to the frequency domain in each iteration.In this paper,we focus on an implementation of the ALFT in the frequency domain to improve its efficiency.The method searches for the maximum Fourier coefficient and subtracts the SINC function in the frequency domain,to avoid the discrete Fourier transform and the inverse discrete Fourier transform in each iteration.Tests on synthetic data show that the method can improve computational efficiency,while reducing discernible frequency leakage and improving sparse representation.

关键词：

反泄露傅里叶变换; 均匀网格; SINC函数; 稀疏表示; 频谱泄露; 数据压缩;

Keywords:

antileakage Fourier transform,regular grid,SINC function,sparse representation,spectrum leakage,data compression;

基金项目

国家自然科学基金(41504092,41774135)、中国博士后科学基金(2016T90925,2015M572567)及中央高校基本科研业务费专项资金(xjj2016065)联合资助。

DOI

10.3969/j.issn.1000-1441.2018.01.006