{"title":"重数为2的对称正交多小波的构造","authors":"Chenglin Liu, Xiaoxia Feng, Zhongpeng Yang","doi":"10.1109/ICWAPR.2010.5576370","DOIUrl":null,"url":null,"abstract":"For given symmetric/antisymmetric orthogonal mul-tiscaling functions with miltiplicity 2 and support [0,2L], we obtain a general method to construct the corresponding multiwavelets with the similar properties by applying the paraunitary extension of matrix and parameterization of paraunitary matrixfrom, and the symmetric orthogonal multiwavelet with support [0, 2] derived by Jiang can be easily recovered by our method.","PeriodicalId":219884,"journal":{"name":"2010 International Conference on Wavelet Analysis and Pattern Recognition","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Construction of symmetric orthogonal multiwavelets with multiplicity 2\",\"authors\":\"Chenglin Liu, Xiaoxia Feng, Zhongpeng Yang\",\"doi\":\"10.1109/ICWAPR.2010.5576370\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For given symmetric/antisymmetric orthogonal mul-tiscaling functions with miltiplicity 2 and support [0,2L], we obtain a general method to construct the corresponding multiwavelets with the similar properties by applying the paraunitary extension of matrix and parameterization of paraunitary matrixfrom, and the symmetric orthogonal multiwavelet with support [0, 2] derived by Jiang can be easily recovered by our method.\",\"PeriodicalId\":219884,\"journal\":{\"name\":\"2010 International Conference on Wavelet Analysis and Pattern Recognition\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-07-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 International Conference on Wavelet Analysis and Pattern Recognition\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICWAPR.2010.5576370\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 International Conference on Wavelet Analysis and Pattern Recognition","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICWAPR.2010.5576370","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Construction of symmetric orthogonal multiwavelets with multiplicity 2
For given symmetric/antisymmetric orthogonal mul-tiscaling functions with miltiplicity 2 and support [0,2L], we obtain a general method to construct the corresponding multiwavelets with the similar properties by applying the paraunitary extension of matrix and parameterization of paraunitary matrixfrom, and the symmetric orthogonal multiwavelet with support [0, 2] derived by Jiang can be easily recovered by our method.
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