小波理論與應(yīng)用.pdf

1、湖南師范大學(xué)碩士學(xué)位論文小波理論與應(yīng)用姓名：陳榮平申請(qǐng)學(xué)位級(jí)別：碩士專(zhuān)業(yè)：計(jì)算數(shù)學(xué)指導(dǎo)教師：王國(guó)秋20060301II硬士學(xué)位論文’AbstractAsanewo矗betofmathematic8，waveleta丑alysisisbecomiI培afocusonsomedom撕nofscience，itisinternationalyrecognizeduptothemimltetoolsforanalysingtime—freque

2、nc礦Becauseofits“adaptivefeature”and“math—ematicaJmicrotelescopefe8ture”，itisfondlydelightedast001sforsomanyscientmcworkersItplaysanimportantroleinthesigllalandjmformationpr0cessing，Waveletnansformis七h(yuǎn)ecoretechn0109yinJPE

3、G2000Thi8paperaimsa七providingthekownledgeofwavelettheoryanditspractic以appHcationThemaincontributioⅡsareasfollows：Firstlyfthedefec拈ofFburiernansformaredlscussedandthefund哪eⅡtalconceptofMulti—res01u七ionareiIlustratedSecond

4、lMseveralcommonly_usedwavelets姐dtheirconstructionmethodsisinve8tigated，thebasicpricipleofContinuous、VawletnansformandDlscreteHyperwaVeletnⅡlsformisintroducedindeta越ThiIdly)introducedakeystepinwaⅣe】et’sapplication，whichis

5、ho嗽，toconstructthewaveleFs壬ilter8Inthi8paper，somefamoususualwavelets，mul_tiwaⅣeletsandmultibankwavelets’￡lte瑙areconstructed，andsomegoodprop_ertiesareobtainedInaddition，someappUcationex啪plesinmanyrespect8aredemon8tratedFo

6、urthly，implementionofco址iIluouswaⅣeI酏nansformandDiscreteHyperwaveIetTransformisinvestigated，8ndprincipleofwaveletappljcationisana_lyzed，lotsofimplementionmodelsinmarwrespec乞s缸ebeengiveⅡout，too，F(xiàn)ifth堍somerela亡i011shipsofm