超宽带信号检测中EMD与HHT的端效应研究

Xiaowen Liu, Lei Jiang, Hua Xu
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引用次数: 2

摘要

基于希尔伯特-黄变换(Hilbert-Huang Transform, HHT)经验模态分解(EMD)在超宽带(UWB)信号检测中的末端效应,分析了非等距离灰色模型(NGM),通过预测不确定性数据来减轻EMD的末端效应。针对在特定情况下难以检测到某些极值点的问题,提出了在时域使用傅立叶级数(TFNGM(1,1))改进的NGM(1,1)模型。此外,本文还提出并分析了EMD中终止迭代过程的新判据,该判据能有效地提高重构信号的信噪比。对该方法进行了理论推导和计算机仿真,结果表明,该方法可以在信号恶劣的情况下准确地重建UWB-IR信号。
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Study on end effects of EMD with HHT for UWB signal detection
Based on end effects of empirical mode decomposition (EMD) of Hilbert-Huang Transform (HHT) in detecting ultra-wideband (UWB) signal, the non-equidistance grey model (NGM) is analyzed to mitigate end effects of EMD by predicting uncertainly data. Since some extreme points can hardly be detected in particular situation, the modified NGM(1,1)model using Fourier series (TFNGM(1,1)) at time domain is proposed. Furthermore, the new criterion to terminate the iteration process in EMD is also proposed and analyzed in this paper, which can effectively improve the signal to noise ratio of reconstructive signal. The theoretical deduction and computer simulation of this new method are made, which show that the proposed method can reconstruct UWB-IR signal accurately in bad signal situations.
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