【摘要】 基于分数阶Fourier变换的信号时频分析称为广义时频分析,将其引入地震信号处理中,是对现有基于传统变换时频分析方法的广义化拓展。这里着重数值实现,探索基于分数阶Fourier变换的时频分析,并应用了其在物探技术中新思路和比较的优势。在分数阶Fourier变换基本定义的基础上,数值实现离散分数阶Fourier变换;研究三类广义时频分析方法及其数值实现;针对地震信号,以伪Wigner分布为例,展示广义时频分析效果。经研究表明:实现的数值算法正确有效;地震信号新的广义时频分布能量更加集中,时频分析的聚焦度和信息特征更加清晰。由此可见,广义时频分析为地震信息特征分析、预测和提取提供新的视角和工具,值得进一步研究和推广。更多还原

【Abstract】 Fractional Fourier Transform(FRFT) based Time-Frequency(TF) Analysis is called Generalized Time-Frequency(GTF) Analysis.The paper introduces the FRFT for seismic signal processing,and generalizes some common Fourier Transform(FT) based TF recipes,for example,Wigner-Ville Distribution(WVD),to Fractional Fourier transform Field.The emphasis is on the numerical algorithms with looking for new ways and advantages of the GTF for seismic signal processing.Firstly,the basic definition of FRFT is given,and realized by computer.Then 3 kinds of GTF methods are discussed with numerical implementations.The results of seismic signal GTF with WVD show that the algorithms are valid and effective,and the GTF can provide more centered TF distributions which are better for seismic information extraction.GTF gives the seismic signal processing new views and tools,which are worth doing more researches.更多还原