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An approach to eliminating end effects of EMD through mirror extension coupled with support vector machine method

机译:通过镜像扩展和支持向量机方法消除EMD最终效应的方法

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摘要

The mirror extension is a basic algorithm to treat the end effects in the empirical mode decomposition (EMD) of signals. It must meet the requirements of the specular position at the local extremum, but the actual signal is very difficult to implement. For this reason, its decomposition can lead to severe distortion. This paper proposed a new approach to the performance improvement of end effect elimination in EMD method through the data extension on the basis of traditional mirror extension technique coupled with the function regression method of support vector machine (SVM). Some data outside of both ends of an original signal are firstly predicted by means of the relationships obtained by the function regression method of SVM, from which one or more extreme points outside each end are captured. And then the mirror extension algorithm is used to inhibit the end effects possibly occurring in operation of EMD method. The application examples of the simulated signal show that the proposed method can effectively eliminate the end effect of the EMD method.
机译:镜像扩展是一种基本算法,用于处理信号的经验模式分解(EMD)中的最终效应。它必须满足局部极值镜面位置的要求,但是实际信号很难实现。因此,其分解会导致严重的变形。本文在传统镜像扩展技术与支持向量机(SVM)功能回归方法相结合的基础上,提出了一种通过数据扩展来提高EMD方法中消除末端效果的性能的新方法。首先借助SV​​M的函数回归方法获得的关系预测原始信号两端之外的一些数据,从中捕获每个端外的一个或多个极端点。然后使用镜像扩展算法来抑制EMD方法操作中可能出现的最终影响。仿真信号的应用实例表明,该方法可以有效消除EMD方法的端效应。

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