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THE WAVELET ANALYSIS METHOD OF STATIONARY RANDOM PROCESSES
作者姓名:骆少明  张湘伟
作者单位:Luo Shaoming; Zhang Xiangwei(Project supported by the Ph. D Program Foundation of Education Committee of China (9461108))(Shantou University,Shantou 515063,P. R. China)
摘    要:I.IntroductionRalldomvibrationoftenoccursinpracticalellgilleeringproblclllsl'l.Forexalllple,theunevellroadexcitesthewheelwithuncertainnZagnitudeandirregulartimelapseandresultsinrandonlvibrationofvehicle,whcllsufferingfromearthquakeor11urricallc,tilestructurewillvibraterandomly.Thewaytostudyrandomvibrationisusillgmathematicaltool,randomprocessestheory,todcalwithvibrationproblem,soitisveryilnporlant1'L,r1.alldomvibrationstudyingtostudytilel.andolllprocesses.Genel'ally.thestudyofrandomprocesses…

收稿时间:4 April 1997

The wavelet analysis method of stationary random processes
Luo Shaoming,Zhang Xiangwei.THE WAVELET ANALYSIS METHOD OF STATIONARY RANDOM PROCESSES[J].Applied Mathematics and Mechanics(English Edition),1998,19(10):929-935.
Authors:Luo Shaoming  Zhang Xiangwei
Institution:(1) Shantou University, 515063 Shantou, P. R. China
Abstract:The spectral analysis of stationary random processes is studied by using wavelet transform method.On the basis of wavelet transform, the conception of time-frequency pewer spectral density of random processes and time-frequency cross-spectral density of jointly stationary random processes are presented. The characters of the timefrequency power spectral density and its relationship with traditional power spectral density are also studied in details.
Keywords:wavelet transform  spectral analysis  correlation function
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