半正交框架与多小波框架.pdf

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5、‡(Xe:1˜Ù{‡0Å©Û9µenØuÐ{¤!cISïÄyG!‘K5,Vã©̇óŠ.1Ù̇0˜ƒ'PÒ9ÄVg.1nÙ3˜„Hilbert˜m¥ïĵeeZÄ5Ÿ,ÓžJÑCParsevalµe9ŒµeVg,‰Ñ˜Ä5ŸÚ½n.1oÙ̇ïÄŒõŵeÄ5Ÿ,X•?ØŒõÅParsevalµe5Ÿ,lª•9ž•©O?1?Ø,‰Ñ½ŒõÅParsevalµeeZ¿‡^‡.ÓžïÄŒõÅParsevalµe†GMRA(Generalizedmulti-resolution

6、analysis,±eþ=P•GMRA)µeƒm'X,y²§‚ƒm´pƒd.Ùg,©ïÄî‚Œõŵe5Ÿ,¿‰ÑeZd^‡.31ÊÙ¥,(Üŵe8˜®k(J,©‰Ñ¤Œõŵe8¿©^‡,¿‰ÑäN~f.'''………cccµµµµe;Œµe;õŵe;Œõŵe;î‚Œõŵe;Å8IöÞŒÆa¬ÆØ©IIöÞŒÆa¬ÆØ©AbstractWaveletanalysisisdevelopingbyarapidspeedintherecentseveraldecadestheoreti

7、cally,itiswidelyacceptedinmanyotherelds,includingsignalanaly-sis,imageprocessing,computerrecognitionanddierentialequationsandsoon.Inrecentdecades,wavelettheorygraduallydevelopingintheformofwaveletframe;accordingly,frametheoryhavedrawntheattentionofresearchers,andtherefore

8、resultinafastdevelopmentofitbothintheoryandapplication-s.Waveletframetheoryisthemostimportantpartofframetheory,andtheresearchofwaveletframeisthemostthoroughlyoneamongalltheframeclass-es.Fortheneedoftheoreticaldevelopmentandapplications,multi-variatemulti-wavelethavebeenwide

9、lystudied.Inanotherway,sincetheypossesssomecommonproperties,thesemi-orthogonaltigh