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动态测量误差的希尔伯特-黄分解
引用本文:程真英,李瑞君.动态测量误差的希尔伯特-黄分解[J].航空计测技术,2012(3):17-19,46.
作者姓名:程真英  李瑞君
作者单位:[1]合肥工业大学仪器科学与光电工程学院,安徽合肥230009 [2]安徽电气工程职业技术学院,安徽合肥230051
基金项目:国家自然科学基金资助项目(50675057);安徽高校省级自然科学研究项目(KJ2012Z014)
摘    要:针对傅立叶变换、小波变换等方法在分解动态测量误差时存在的不足,即选用不同的基函数会导致不同的分解结果,提出了基于希尔伯特-黄变换(HHT)的动态测量误差分解方法。该方法不需要选取基函数,可以自适应地分解动态测量误差信号;对一个混联式动态测量系统建立了全系统误差模型,并用该方法对测量系统的总误差信号进行了分解;与傅立叶变换、小波变换的分解结果相比,希尔伯特-黄变换的分解结果更准确,与测量系统的误差理论模型基本一致。

关 键 词:全系统动态误差模型  误差分解  傅立叶变换  小波变换  希尔伯特-黄变换

Decomposition of Dynamic Measurement Error Based on Hilbert-Huang Transform
CHENG Zhenying,LI Ruijun.Decomposition of Dynamic Measurement Error Based on Hilbert-Huang Transform[J].Aviation Metrology & Measurement Technology,2012(3):17-19,46.
Authors:CHENG Zhenying  LI Ruijun
Institution:1,2(1.School of Instrument Science and Opto-electronic Engineering,Hefei University of Technology,Hefei 230009,China; 2.Anhui Electrical Engineering Professional Technique College,Hefei 230051,China)
Abstract:The selection of different basis functions with the methods such as Fourier transform and wavelet transform will lead to different results in the decomposition of dynamic measurement error.Hilbert-Huang transform(HHT) for dynamic measurement error decomposition is proposed in this paper.The method does not need to select the basis function and can decompose the dynamic measurement error signal adaptively.The error model of whole system was established for a hybrid dynamic measurement system.The total errors of the measurement system were analyzed with Hilbert-Huang transform.The result of Hilbert-Huang transform decomposition is more accurate than Fourier transform and wavelet transform decomposition results and is consistent with the measurement error model.
Keywords:dynamic error model of whole system  error decomposition  Fourier transform  wavelet transform  Hilbert-Huang transform
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