多帶二重正交多小波的構(gòu)造.pdf

1、哈爾濱理工大學(xué)碩士學(xué)位論文多帶二重正交多小波的構(gòu)造姓名：袁春梅申請學(xué)位級別：碩士專業(yè)：@指導(dǎo)教師：鄧彩霞201103哈爾濱理T人學(xué)理學(xué)碩lj學(xué)位論文ConstructionofMultibandOrthogonalMultiwaveletswithMultiplicity2AbstractThemulti—bandorthogonalmultiwaveletswithmultiplicity2iSabrandnewstageinthed

2、evelopingprocessofwaveletanalysisIthasreceivedpeople’SattentionforitsmanyexcellentpropertiesOnonehand，ithasmultibandwavelet’Sdecomposingfrequencycharacteristiconmulti—channel，whichalsomakesittosolvesuccessfullyandrealize

3、smoothlyinthesignalprocessingwithahigherreqhirementofsignalqualityOntheotherhand，italsohasthesamecharacteristicwithmultiwavelets，anditcansimultaneouslypossesssomedesirableproperties，suchascompactsupport，symmetryorthogona

4、litysmoothnessandSOonThesepropertiesplaytheindispensableroleinprocessingaspectsofimagedenoisingThepreviousconstructionideaonwavelet：firstlyfindoutthelow—passfilterwithcorrespondingtomulti—bandorthogonalmultiwaveletswithm

5、ultiplicity2Secondlyfindouthigh—passfilterofitscorrespondingmultiwaveletsbytherelationshipbetweenlowpassfilterandhighpassfilterAndthenfindoutthemulti—bandorthogonalmultiwaveletsfunctionwithmultiplicity2Howevermatrixmulti

6、plicationcannotbeinterchangeableinnature，SOintheactualcalculation，itisverydifficulttoconstructthemultibandorthogonalmultiwaveletswithmultiplicity2accondingtothistraditionalwayTherefore，itismainlystudiedontheconstructionm

7、ethodsofmulti—bandorthogonalmultiwaveletswithmultiplicity2inthispaper，andtwomethodsaregivenasfollowingOnekind，basedontheideaofthemulti—resolutionanalysis，firstusetheRieszlemmatoconstructMbandcomplexvaluedsymmetricalortho