幅度誤差分析與采樣點(diǎn)的選取.pdf

1、南開大學(xué)碩士學(xué)位論文幅度誤差分析與采樣點(diǎn)的選取姓名：閆偉鋒申請學(xué)位級(jí)別：碩士專業(yè)：概率論與數(shù)理統(tǒng)計(jì)指導(dǎo)教師：孫文昌20090501AbstractAbstractFramewasdefinedbyDuf五nandSchaefferin1952Itwasnotcontinueduntile1986whenthefundamentalworkofDaubechies，GrossmanandMeyerbroughtoutFromthenon，

2、FrametheorybecomesacentaltoolinmanyappliedareasFramesareredundantbaseswhichturnoutincertainapplicmionstobemoreflexiblethanthebeuerknownorthonormalbases，SOframeCanbesometimesanusefultoolinsignalanalysisnesamplingproblemis

3、oneofthestandardproblemsinsignalanalysisandimageprocessingSinceasignalcannotberecordedinitsentiretyandaccuratelyitissampledatasequence，SOreconstructionerrorswillbearisedForexample，theamplitudeerrorisakindofreconstruction

4、errorswhichmaybeduetoquantization，rounding—offornoiseSotoanalysisthekindsoferrorsbecomesveryimportantSunandZhou[1】，showedsomegoodresultsaboutthetruncationerrortheamplitudeerrorthealiasingerrorandthetimejittererrorunderth

5、esinglevariatewaveletsubspaces，nletruncationerrorwasstudiedunderthemultivariateshiftinvariantsubspacesin[2】Thetimejittererrorwasstudiedunderthemultivariatewaveletsubspacesandabetterconclusionwasshownaboutunregularsamplin

6、gin[3J一一一‘一‘一一‘●InthethirdchapterwestudytheamplitudeerrorofsignalreconstructionundertheMultivariatewaveletsubspaces，theestimationofamplitudeerrorisshowninL0。(∥)and己2(剜)whatiftherearemoreregularpointsfbr％wepresentastandar