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过渡内蕴模态函数对经验模态分解去噪结果的影响研究及改进算法

DOI: 10.6038/cjg20130226, PP. 626-634

Keywords: 地震信号处理,经验模态分解,余弦函数,内蕴模态函数,过渡内蕴模态函数

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Abstract:

经验模态分解(EmpiricalModeDecomposition,EMD)是一种具有较大应用潜力的去噪算法.目前,该算法存在的一个较大问题是过渡内蕴模态函数(IntrinsicModeFunction,IMF)中混叠噪声不能有效处理.过渡内蕴模态函数中混叠噪声不易剔除,限制了该算法的应用.本文针对此问题,通过研究过渡IMF的特点,首次提出一种有效去除过渡IMF中混叠噪声的方法.该方法首先对原信号进行一次EMD处理,得到包含过渡IMF的初步去噪结果,并将其与合适的余弦信号结合,改变其包络分布,然后对其结果再次进行EMD处理,仿真实验表明该方法在保留有效信号的同时,可以有效的去除过渡IMF中混叠的噪声,并将该方法用于实际地震资料随机噪声压制,处理效果令人满意.

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