AN ALGORITHM FOR CONSTRUCTING ORTHOGONAL ARMLET MULTI-WAVELETS WITH MULTIPLICITY r AND DILATION FACTOR a-中国期刊网

摘要 ThepurposeofthispaperistoconstructanorthogonalArmletmulti-waveletswithmul-tiplicityranddilationfactora.Firstly,thedefinitionofArmletswithdilationfactoraisproposedinthispaper.BasedontheTwo-scaleSimilarTransform(TST),thenotionofthePara-unitaryA-scaleSimilarTransform(PAST)isintroduced,andwealsogivethetransformonthealltwo-scalematrixsymbolsofthemulti-waveletswithdilationa.ThenweshowthatthePASTandthetransformonthematrixsymbolsofthemulti-waveletskeeptheorthogonalityofthemulti-waveletssystem.Wediscusstheconditionthatmulti-waveletscorrespondingtothemulti-scalingfunctionsareallArmlets.AfterperformingthePASTandthetransformonthematrixsymbolsofthemulti-wavelets,themulti-scalingfunctioncanbebalancedandthecorrespondingmulti-waveletscanbeArmletsatthesametime.TheconstructionofArmletswithhighorderisalsodiscussed.Atlast,byagivenexample,wecanconcludethatthealgorithmisfeasibleandefficient.

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AN ALGORITHM FOR CONSTRUCTING ORTHOGONAL ARMLET MULTI-WAVELETS WITH MULTIPLICITY r AND DILATION FACTOR a

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AN ALGORITHM FOR CONSTRUCTING ORTHOGONAL ARMLET MULTI-WAVELETS WITH MULTIPLICITY r AND DILATION FACTOR a

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