{"title":"复合空间小波矩阵联合对角化用于非平稳源的盲分离","authors":"E. Fadaili, V. Vigneron","doi":"10.5281/ZENODO.40331","DOIUrl":null,"url":null,"abstract":"This communication concerns the problem of blind sources separation (BSS) of non stationary sources in the instantaneous mixture case. We consider an approach based on joint-diagonalization of some hermitian matrices constructed by a family of spatial complex cross-wavelet transform. We show that mixing matrix can be estimated by using some algebraic properties of considered matrices. Computer simulations are provided to demonstrate the effectiveness of the proposed method, which is compared with other approach based on the joint-diagonalization.","PeriodicalId":176384,"journal":{"name":"2007 15th European Signal Processing Conference","volume":"32 19-20","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Joint diagonalization of complex spatial-wavelet matrices for blind sources separation of non stationary sources\",\"authors\":\"E. Fadaili, V. Vigneron\",\"doi\":\"10.5281/ZENODO.40331\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This communication concerns the problem of blind sources separation (BSS) of non stationary sources in the instantaneous mixture case. We consider an approach based on joint-diagonalization of some hermitian matrices constructed by a family of spatial complex cross-wavelet transform. We show that mixing matrix can be estimated by using some algebraic properties of considered matrices. Computer simulations are provided to demonstrate the effectiveness of the proposed method, which is compared with other approach based on the joint-diagonalization.\",\"PeriodicalId\":176384,\"journal\":{\"name\":\"2007 15th European Signal Processing Conference\",\"volume\":\"32 19-20\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-09-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2007 15th European Signal Processing Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5281/ZENODO.40331\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 15th European Signal Processing Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5281/ZENODO.40331","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Joint diagonalization of complex spatial-wavelet matrices for blind sources separation of non stationary sources
This communication concerns the problem of blind sources separation (BSS) of non stationary sources in the instantaneous mixture case. We consider an approach based on joint-diagonalization of some hermitian matrices constructed by a family of spatial complex cross-wavelet transform. We show that mixing matrix can be estimated by using some algebraic properties of considered matrices. Computer simulations are provided to demonstrate the effectiveness of the proposed method, which is compared with other approach based on the joint-diagonalization.