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利用改进希尔伯特—黄变换进行地震资料时频分析

Keywords: 改进hht,小波包变换,海森堡测不准原理,emd,imf,时频分析

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Abstract:

?为了克服常规希尔伯特—黄变换(hht)的缺陷,消除常规经验模态分解(emd)产生的本征模态函数分量(imf)中混叠的振荡模式,本文运用改进hht,即通过引进小波包变换,首先将信号分解成-系列窄带信号,然后对这些窄带信号进行emd获得-些imf分量,再根据相关系数法,保留需要的imf分量,去除虚假的imf分量,最后进行hht求取瞬时频率,得到改进hht谱。改进hht摆脱了小波变换中的海森堡测不准原理的限制,以及常规hht模态混叠对分析的干扰。虽然改进hht谱高频成分存在跳跃现象,但都围绕在真实频率值周围,并且较小波时频图的频带窄很多,能够反映信号的真实频率特性。数值模拟与实际地震记录处理结果证明了改进hht的可行性。

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