基于高斯噪声的快速经验模态分解

Risheng Wang, Jianjun Zhou, Jie Chen, Yanjie Wang
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引用次数: 5

摘要

模态混合、边界效应和必要极值缺失等是经验模态分解(EMD)中的主要问题。提出了一种改进的基于高斯噪声辅助信号的经验模态分解方法。首先,将给定的一维高斯噪声及其负对应噪声分别加入到原始噪声中,构造待分解的两个s。其次,将两个信号的分解后的imf相加得到imf,其中加入的噪声被抵消,模态混叠和边界效应较小;最后,通过理论分析和实验验证了该方法的有效性和性能。
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Fast Empirical Mode Decomposition Based on Gaussian Noises
Mode-mixing, boundary effects and necessary extrema lacking and etc. are the main problems involved in empirical mode decomposition (EMD). The paper presents an improved empirical mode decomposition based on assisted signals: Gaussian noises. Firstly, the given 1D Gaussian noise and its negative counterpart are added to the original respectively to construct the two s to be decomposed. Secondly, the decomposed IMFs from the two signals are added together to get the IMFs, in which the added noises are canceled out with less mode-mixing and boundary effects. Lastly, the efficiency and performance of the method are given through theoretical analysis and experiments.
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