{"title":"正交多小波的构造","authors":"Jianwei Yang, Y.Y. Tang, Zheng-xing Cheng","doi":"10.1109/ICMLC.2002.1175381","DOIUrl":null,"url":null,"abstract":"For compactly supported m-band (m/spl ges/2, m/spl isin/Z) orthonormal multiwavelet systems, an algorithm to construct compactly supported orthogonal multiwavelets from the associated multi-scaling functions is presented in this paper. This method is simple for computation, does not need to solve a set of nonlinear equations in unknown matrices or factorize a polynomial matrix into a special form, and is not restrained by the multiplicity of multiwavelets. It only needs to solve some linear equations and compute some matrices. As an example, the GHM multiwavelets are derived via this method.","PeriodicalId":90702,"journal":{"name":"Proceedings. International Conference on Machine Learning and Cybernetics","volume":"76 1","pages":"1968-1972 vol.4"},"PeriodicalIF":0.0000,"publicationDate":"2002-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Construction of orthogonal multiwavelet\",\"authors\":\"Jianwei Yang, Y.Y. Tang, Zheng-xing Cheng\",\"doi\":\"10.1109/ICMLC.2002.1175381\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For compactly supported m-band (m/spl ges/2, m/spl isin/Z) orthonormal multiwavelet systems, an algorithm to construct compactly supported orthogonal multiwavelets from the associated multi-scaling functions is presented in this paper. This method is simple for computation, does not need to solve a set of nonlinear equations in unknown matrices or factorize a polynomial matrix into a special form, and is not restrained by the multiplicity of multiwavelets. It only needs to solve some linear equations and compute some matrices. As an example, the GHM multiwavelets are derived via this method.\",\"PeriodicalId\":90702,\"journal\":{\"name\":\"Proceedings. International Conference on Machine Learning and Cybernetics\",\"volume\":\"76 1\",\"pages\":\"1968-1972 vol.4\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2002-11-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings. International Conference on Machine Learning and Cybernetics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICMLC.2002.1175381\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings. International Conference on Machine Learning and Cybernetics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICMLC.2002.1175381","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
For compactly supported m-band (m/spl ges/2, m/spl isin/Z) orthonormal multiwavelet systems, an algorithm to construct compactly supported orthogonal multiwavelets from the associated multi-scaling functions is presented in this paper. This method is simple for computation, does not need to solve a set of nonlinear equations in unknown matrices or factorize a polynomial matrix into a special form, and is not restrained by the multiplicity of multiwavelets. It only needs to solve some linear equations and compute some matrices. As an example, the GHM multiwavelets are derived via this method.
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