{"title":"六尺度向量值小波包的性质描述","authors":"Ruohui Liu, Jialong Peng","doi":"10.1109/WCSE.2009.374","DOIUrl":null,"url":null,"abstract":"Wavelet analysis is an active research subject for twenty years. In this paper, the notion of orthogonal vector-valued wavelet packets in higher dimensions is introduced. A procedure for constructing them is presented. Their properties are investigated by using time-frequency analysis method, matrix theory and finite group theory. Orthogonality formulas are established.","PeriodicalId":331155,"journal":{"name":"2009 WRI World Congress on Software Engineering","volume":"35 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Description of Properties of Vector-Valued Wavelet Packets with Six-scale\",\"authors\":\"Ruohui Liu, Jialong Peng\",\"doi\":\"10.1109/WCSE.2009.374\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Wavelet analysis is an active research subject for twenty years. In this paper, the notion of orthogonal vector-valued wavelet packets in higher dimensions is introduced. A procedure for constructing them is presented. Their properties are investigated by using time-frequency analysis method, matrix theory and finite group theory. Orthogonality formulas are established.\",\"PeriodicalId\":331155,\"journal\":{\"name\":\"2009 WRI World Congress on Software Engineering\",\"volume\":\"35 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-05-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 WRI World Congress on Software Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/WCSE.2009.374\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 WRI World Congress on Software Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/WCSE.2009.374","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Description of Properties of Vector-Valued Wavelet Packets with Six-scale
Wavelet analysis is an active research subject for twenty years. In this paper, the notion of orthogonal vector-valued wavelet packets in higher dimensions is introduced. A procedure for constructing them is presented. Their properties are investigated by using time-frequency analysis method, matrix theory and finite group theory. Orthogonality formulas are established.
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