Hilbert变换在地质雷达资料处理中的应用

Application of Hilbert transform in processing of GPR data

希尔伯特变换是数字信号分析与处理中的一种常用方法,原信号经过处理后能得到相应的解析信号,可以进一步提取信号中的"三瞬"信息,即瞬时振幅、瞬时相位、瞬时频率,有利于解析信号所包含的更多有用信息。但Hilbert变换在提取瞬时相位及瞬时频率信息时,两端会出现明显的边界效应。采用2种数据处理方法来压制边界效应,对比了优劣,并将其应用到地质雷达数据处理中,取得了较好的效果。

Hilbert transform is a common method in digital signal analysis and processing.After the original signal is processed,the corresponding analytical signal can be obtained,and the "three transients" information in the signal can be further extracted,that is,instantaneous amplitude,instantaneous phase and instantaneous frequency,which is conducive to analyzing more useful information contained in the signal.However,when the Hilbert transform extracts the instantaneous phase and instantaneous frequency information,obvious border effect will appear at both ends.In this paper,two data processing methods were used to suppress the border effect,the advantages and disadvantages were also compared.These two method were also applied into the ground penetrating radar data processing,which has achieved good effects.