基于小波包和改进HHT的瞬时特征分析
详细信息 本馆镜像全文    |  推荐本文 | | 获取馆网全文
摘要
希尔伯特—黄变换(HHT)目前还只能算是一种经验方法,其理论依据尚不完备,有待于进一步地完善。分析了HHT中三次样条插值法进行包络线或均值线拟合时引起的过冲和欠冲原因,提出了基于B样条曲线的分段插值算法和混合插值算法的改进HHT,解决了三次样条插值算法容易引起的过冲和欠冲现象;将改进的HHT和小波包变换(WPT)相结合,得到一种有效的瞬时特征分析方法,很好地解决HHT分析带来的模态混叠现象,减少噪声对信号的干扰,提高了信号特征提取的准确性。实验结果表明,该方法用于故障特征提取是有效的。
As a new theory for adaptive time-frequency analysis,the Hilbert-Huang Transform(HHT) is considered to be experiential method,it’s necessary to be consummated.When curve fitting for envelope or mean with cubic spline interpolation,it’s easily to come into contact with overshoot and undershoot problems.To solve the disfigurement,the subsection interpolation arithmetic based on B spline curve and mixed interpolation curve arithmetic are proposed.Furthermore,it’s the effective technique to avoid the aliasing phenomena.An effective analysis method for non-stationary signal based on improved HHT and the Wavelet Packets Decomposition(WPD) is presented in this paper.The proposed method can not only solve the shortcoming in HHT,but also decrease the unnecessary noise influence,and improves the veracity of the signal feature extraction.The results of experiment indicate the proposed method is effective in feature extraction.
引文
[1]Huang N E.The empirical mode decomposition and the Hilbert spectrum for Nonlinear and non-stationary time series analysis[C]//Proceedings of the Royal Society of London,1998,454:903-995.
    [2]戴桂平,刘彬.基于小波去噪和EMD的信号瞬时参数提取[J].计量学报,2007,28(2):158-162.
    [3]程军圣,于德介,杨宇.基于EMD的信号瞬时特征的小波分析方法[J].地震工程与工程振动,2004,24(2):181-186.
    [4]刘小峰,秦树人,柏林.基于小波包的经验模态分解法的研究及应用[J].中国机械工程,2007,18(10):1201-1204.
    [5]Peng Z K,Tse P W,Chu F L.An improved Hilbert-Huang trans-form and its application in vibration signal analysis[J].Journal of Sound and Vibration,2005,286:187-205.
    [6]钟佑明,金涛,秦树人.希尔伯特—黄变换中的一种新包络线算法[J].数据采集与处理,2005,20(1):13-17.
    [7]陈传波,陆枫.计算机图形学基础[M].北京:电子工业出版社,2002.
    [8]赵华,刘荣林,于艳红.小波包分析在电机信号消噪处理中的应用[J].中国民航学院学报,2004,22(2):13-16.
    [9]Donoho D L.De-noising by soft-thresholding[J].IEEE Transactions on Information Theory,1995,41(3):613-627.

版权所有:© 2023 中国地质图书馆 中国地质调查局地学文献中心