小波分析及其在信號、圖像降噪中的應用研究.pdf

1、f、r858581一Y858800代號一一!蜊一分婁號TNgll7學號030542～0l—l—S密紐讓開面普奄手辮校戈警碩士學位論文題c中，英文，目一』臌分折曼其在信號L圖像峰噪史的應用研究一一&趟芏旦Hm蚺!照曲曼h舒曼旦咀地A舶助妲n蜘一一～地刨置幽J鯽且_I幽艘d；塑9j_sjng一～一一一一一一作者姓名～一熏壁呈一指導教師姓名、職務張昌居恥教授學科門莞～理蘭學科、專業(yè)_一～一無線皇物理一提交論文日期一一三9_Q鰱j二月～一～一A

2、BSTRACTWaveletanalysisisarapidlydevelopingandnovelsubjectNowadays，ithasbeenwidelyusedinpracticalapplicationsTostudythenewtheorNmethodsandapplicationsofwaveletsisofgreattheoreticalsignificanceandpracticalvalueThisdisserta

3、tionaimstoconsummatethewavelettheorypresentsomenewwaveletde‘noisingalgorithmsanddevelopthenewscopesofwaveletapplicationsThethesismainlyincludesthefollowingaspects：Thefundamentaltheoriesofwaveletanalysisalediscussedindeta

4、ilContinuouSwavelettransform，discretewavelettransformanddyadicwavelettransformareintroducedThefastalgorithmofdiscretedyadicwavelettransformisgivenFinallyananalysisismadeontheinfluenceofthewaveletbasesonpracticalapplicati

5、onsbystudyingtheirmathematicalproperties。Theprinciplesofwavelettransformmodulusmaximadenoisingmethodareintroducedindetail，ananalysisofthechoiceofsomeparametersintheprocessofde‘noisingismadeindetail，andsomechoicegroundsal

6、egivenSomekeyproblemsonde—noisingmethodbased011waveletthresholdarediscussedindetail，andsomeimprovementschemesaleproposed，andthesimulationtestinghasprovedtheeffectivenessoftheschemesAcombinationde—noisingalgorithmbasedont

7、hespatialcorrelationbasedalgorithmispresented，theexperimentalresultsshowthatthefilteredwaveletcoefficientsinthepmposedalgorithmhavetheadvantagesofgoodcontinuity，highaccuracyandconvenienceforsignalreconstructionAnimageden

8、oisingmethodofwaveletshrinkagethresholdbasedongeneralizedcrossvalidation(Gcv)isdiscussedindetailAndanimagede—noisingmethodofAdaptBayesShrinkthmsholdbased011BayesShrinkthresholdispresentedTheexperimentalresultsshowthatbot