{"title":"具有特殊膨胀矩阵的紧框架小波的性质","authors":"Fengjuan Zhu, Yong-dong Huang","doi":"10.1109/ICWAPR.2010.5576366","DOIUrl":null,"url":null,"abstract":"We study all generalized low-pass filters and tight frame wavelet with special dilation matrix M (M-TFW), where M satisfy Md = 2Id and generates the checkerboard lattice. Firstly, we study the pseudo-scaling function, generalized low-pass filters and multiresolution analysis tight frame wavelets with dilation matrix M(MRA M-TFW), and give some important characterization aboutthem. Then, we characterize all M-TFW by showing that they correspond precisely to those for which the dimension function is non-negative integer-valued","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":"1","resultStr":"{\"title\":\"Characterizations of tight frame wavelets with special dilation matrices\",\"authors\":\"Fengjuan Zhu, Yong-dong Huang\",\"doi\":\"10.1109/ICWAPR.2010.5576366\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study all generalized low-pass filters and tight frame wavelet with special dilation matrix M (M-TFW), where M satisfy Md = 2Id and generates the checkerboard lattice. Firstly, we study the pseudo-scaling function, generalized low-pass filters and multiresolution analysis tight frame wavelets with dilation matrix M(MRA M-TFW), and give some important characterization aboutthem. Then, we characterize all M-TFW by showing that they correspond precisely to those for which the dimension function is non-negative integer-valued\",\"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\":\"1\",\"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.2010.5576366\",\"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.2010.5576366","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Characterizations of tight frame wavelets with special dilation matrices
We study all generalized low-pass filters and tight frame wavelet with special dilation matrix M (M-TFW), where M satisfy Md = 2Id and generates the checkerboard lattice. Firstly, we study the pseudo-scaling function, generalized low-pass filters and multiresolution analysis tight frame wavelets with dilation matrix M(MRA M-TFW), and give some important characterization aboutthem. Then, we characterize all M-TFW by showing that they correspond precisely to those for which the dimension function is non-negative integer-valued
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