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    黃大吉,趙進平,蘇紀蘭.希爾伯特-黃變換的端點延拓[J].海洋學報,2003,25(1):1-11
    希爾伯特-黃變換的端點延拓
    Practical implementation of the Hilbert-Huang Transform algorithm
    投稿時間:2001-03-14  修訂日期:2002-06-30
    DOI:
    中文關鍵詞:  希爾伯特-黃變換(HHT)  信號處理  經驗模態分解(EMD)
    英文關鍵詞:Hilbert-Huang Transform(HHT)  signal processing  Empirical Mode Ikmmposition(EMD)
    基金項目:國家自然科學基金項目(49790010,40076010,49634140);國家重點基礎研究發展規劃項目(G1999043701);海洋863-820資助項目
    作者單位
    黃大吉 國家海洋局海洋動力過程與衛星海洋學重點實驗室, 浙江, 杭州, 310012
    國家海洋局第二海洋研究所, 浙江, 杭州, 310012 
    趙進平 國家海洋局海洋動力過程與衛星海洋學重點實驗室, 浙江, 杭州, 310012
    國家海洋局第二海洋研究所, 浙江, 杭州, 310012 
    蘇紀蘭 國家海洋局海洋動力過程與衛星海洋學重點實驗室, 浙江, 杭州, 310012
    國家海洋局第二海洋研究所, 浙江, 杭州, 310012 
    摘要點擊次數: 5516
    全文下載次數: 3031
    中文摘要:
          希爾伯特-黃變換(HHT)是近年來發展起來的一種新的時間序列信號分析方法.該文在對HHT深入研究與充分肯定的基礎上,發展了信號的鏡像閉合延拓和包絡的極值延拓兩種方法.通過幾個典型的例子檢驗了兩種方法,并與Huang等(1998,1999)進行了比較,得到了令人滿意的結果.鏡像閉合延拓法根據信號端點的分布特性,把鏡子放在具有對稱性的極值位置,通過鏡像法把鏡內信號映射成一個周期性的信號,不存在端點,從根本上避免了經驗模態分解和希爾伯特變換的端點問題.極值延拓法簡單易行,具有與鏡像閉合法相當的效果,在處理非對稱波形信號時更顯其優越性.
    英文摘要:
          Hilbert-Huang Transform (HHT)is a newly developed powerful method for nonlinear and non-stationary time series analysis.The empirical mode decomposition is the key part of HHT, while its algorithm was protected by NASA as a US patent, which limits the widely application among the scientific cotrununity.Two approaches, mirror periodic and extrema extending methods, have been developed for handling the end effects of empirical mode decomposition.The implementation of the HHT is realized in detail to widen the application.The detail comparison of results from two methods with that from Huang et al.(1998, 1999), as well as the comparison between two methods is presented.Generally, both methods reproduce faithful results as that of Huang et al.For mirror periodic method (MPM), the data is extended once forever.Ideally, it is a way for handling the end effects of the HHT, especially for the signal that has symmetric wavefortn.The extrema extending method (EEM) behaves as good as MPM, and it is better than MPM for the signal that has strong asymmetric waveform.However, it has to perform extrema envelope extending in every shifting process.
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