Strategic Study of CAE >> 2005, Volume 7, Issue 7
The Study of an Improved Algorithm About Hilbert Energy Spectrum
Research Center of Condition Monitoring and Fault Diagnosis, Southeast University, Nanjing 210096, China
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Abstract
The Hilbert energy spectrum's principle in HHT is analyzed in the paper; Aimed to solve the end problem in the instantaneous spectrum figure, the cause is researched and ARMA model is introduced in the calculation of Hilbert of HHT. By the simulation of several typical IMFs about vibration signal of rotating machine, and comparing with the conventional methods, the advanced method is proved to be able to improve the end problem effectively and optimize the Hilbert energy spectrum greatly.
Keywords
Hilbert transform ; the distortion of end ; instantaneous parameter ; intrinsic mode function
References
[ 1 ] XuYL , AsceM , ChenJ .Characterizingnonstationarywindspeedusingempiricalmodedecom position[J].JournalofStructuralEngineering, 2004, (7) :912~920
[ 2 ] OonicxPJ, HermandJP .Empiricalmodedecompositionandoceanacousticdatawithconstraintonthefrequencyrange[A ].ProceedingsoftheSeventhEuropeanConferenceonUnderwaterAcoustics[C].ECUA , 2004.5~8
[ 3 ] ZhangR , MaS , SafakE , HartzellS .Hilbert_Huangtransformanalysisofdynamicandearthquakemotionrecordings[J].JournalofEngineeringMechanics, 2003, (8) :861~875
[ 4 ] 贾民平, 凌 娟, 许飞云, 等.基于时序分析的经验模式分解法及其应用[J].机械工程学报, 2004, 40 (9) :54~57 link1
[ 5 ] 罗奇峰, 石春香.HilbertHuang变换理论及其计算中的问题[J].同济大学学报, 2003, (6) :637, 641 link1
[ 6 ] 邓拥军, 王 伟, 钱成春, 等.EMD方法及Hilbert变换中边界问题的处理[J].科学通报, 2001, 46 (3) :257~263 link1
[ 7 ] HuangNE , ShenZ , LongSR , etal.TheempiricalmodedecompositionandtheHilbertspectrumfornonlinearandnon stationarytimeseriesanalysis[J].ProcRSocLondA , 1998, 454:899~955
[ 8 ] 张贤达, 保 铮.非平稳信号分析与处理[M ].北京:国防工业出版社, 1998.14~15
[ 9 ] MarpleSLJr.Computingthediscrete time“analytic”signalviaFFT [A ].IEEE , Signal, Systems&Computers, ConferenceRecordoftheThirstyFirstAsilomarConference[C], 1997.1322~1325