Application of wavelets and neural networks to diagnostic system development, 1, feature extraction(11)

卷积神经网络和一些独立成分分析的外文文献

906B.H.Chenetal./ComputersandChemicalEngineering23(1999)899–906

5.NotationAapproximationinwaveletmultiresolutionanalysis

awaveletdilationparameter

a0,b0discretewavelettransformparametersbwavelettranslationparameter

D

detailinwaveletmultiresolutionanalysisDWTfdiscretewaveletcoef cientf(t)afunctioninthetimedomaing(k)thekthwaveletsynthesis lterHwaveletanalysis lter

h(k)thekthwaveletanalysis lter

m,ndiscretewavelettransformparameterssscalettime

GreekaLipchitzexponent waveletfunction

(t)

waveletscalefunctionororthogonalfunction

Acknowledgements

Theauthorsareindebtedtotheanonymousrefereesfortheirconstructivecommentswhichledtoanim-provedmanuscript.Theauthorsacknowledgethepartial nancialsupportoftheAigisSystems,USA.The rstauthorthanksthe nancialsupportoftheSino-BritishFriendshipScholarshipScheme(SBFSS).

References

Bakshi,B.R.,&Stephanopoulos,G.(1996).Reasoningintime:

modelling,analysisandpatternrecognitionoftemporalprocesstrends.InG.Stephanopoulos,&C.Han,IntelligentSystemsinProcessEngineering-ParadigmsfromDesigntoOperations(pp.487–549).

.

Bakshi,B.R.,&Stephanopoulos,G.(1994).Representationof