23168.4進緊支撐復小波

1、分類號學校代碼!Q墨壘24一進緊支撐復小波TheCompactlySupportedFourbandComplexWavelets研究生姓名：周全墾指導教師姓名、職稱：王國叢整堂學科專研究方業(yè)：計算數(shù)學向：小波分析與應用湖南師范大學學位評定委員會辦公室二零一四年六月IIABSTRACTThispapermainlystudythegeneralconstructionof4bandcomplexwaveletsThecomplexwav

2、elethassomeirreplaceableadvantagesinitsap—plicationHowever，thereistherelativelyfeWresearches。TheconstructionofM—bandcomplexwaveletisespeciallycomplexandtherearefewexamplesofapplicationthatca／1beselectedAtthebeginning，the

3、constructionofcompactlysupported4bandorthonormalcomplexwaveletswithlinearphaseareputforward，withthespecificexampleswiththecommonlengthof8，12，16Inthecomplexwavelets，eventhelackoflinearphase，realandimaginarypartsofthefilte

4、rmayhavesymmetryForthisfeature，theauthorstudiesanothercomplexwaveletswithnonlinearphase，whichhavesymmetricorantisymmetricfiltercoefficientalthoughtheylosetheir1inearphase，buttheirregularityisbetterInmakingdiscretesignalp

5、rocessing，computationalcomplexityofitsstructureandlinearphasecasehavenoessentialdifferences，withthelengthof8，12and16ofsuchcomplexwaveletequallyTbjspaperstudiestwostructuresformedtwocomplexwaveletclasswhoseconstructionmet