| Hilbert-Huang变换端点效应问题的探讨 |
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| 引用本文： | 程军圣,于德介,杨宇.Hilbert-Huang变换端点效应问题的探讨[J].振动与冲击,2005,24(6):40-42,47. |
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| 作者姓名： | 程军圣 于德介 杨宇 |
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| 作者单位： | 湖南大学机械与汽车工程学院,长沙,410082 |
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| 基金项目： | 国家自然科学基金（编号：50275050）和高等学校博士点专项科研基金（编号：20020532024）资助项目 |
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| 摘 要： | 为了克服Hilbert-Huang变换中的端点效应，利用时变参数ARMA（Autoregressive Moving Average）模型对信号进行外延后再进行EMD（Empirical Mode Decomposition）分解，在一定程度上克服了EMD方法的端点效应问题；同时利用时变参数ARMA模型对IMF（Intrinsic Mode Function）分量进行延拓后再进行Hilbert变换，有效地抑制了Hilbert变换中的端点效应，可以得到准确的瞬时频率和瞬时幅值。
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| 关 键 词： | Hilbert-Huang变换 端点效应 时变参数ARMA模型 |
| 收稿时间： | 2004-04-06 |
| 修稿时间： | 2004-04-062004-07-02 |
Disscussion of the End Effects in Hilbert-Huang Transform |
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| Cheng Junsheng,Yu Dejie,Yang Yu.Disscussion of the End Effects in Hilbert-Huang Transform[J].Journal of Vibration and Shock,2005,24(6):40-42,47. |
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| Authors: | Cheng Junsheng Yu Dejie Yang Yu |
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| Abstract: | A method of restraining the end effects in Hilbert-Huang transform is proposed. The end effects of EMD (Empirical Mode Decomposition) method are restrained in a certain degree because the sigual is decomposed by EMD after extended by using time-varying ARMA (Autoregressive Moving Average) model. The Hilbert transform is applied to the IMF (Intrinsic Mode Function) after the IMF is extended by time-varying ARMA model. Thus, the end effects in Hilbert transform can be restrained and the accurate instantaneous frequency and instantaneouus amplitude can be obtained. |
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| Keywords: | Hilbert-Huang transform end effect time-varying ARMA model |
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