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从物探领域将Hilbert变换应用于复数信号分析至今,Hilbert变换不论是从理论算法上还是应用领域上都得到了很大的改进和扩展,已成为物探领域资料分析处理的主要手段之一。本文主要回顾30多年来Hilbert变换在物探领域的发展历程,在此基础上,总结出其理论和应用上的缺陷以及主要面临的问题,并提出了可能的解决方案。
Hilbert transform is applied to the analysis of complex signals from the field of geophysical prospecting up to now. Hilbert transform has been greatly improved and expanded both in theoretical and applied fields, and has become one of the main means of data analysis and processing in the field of geophysical prospecting. This paper mainly reviews the development of Hilbert transform in the field of geophysics over the past 30 years. Based on this, it summarizes its theoretical and practical defects as well as the main problems it faces, and puts forward some possible solutions.