{"title":"稀疏多路径的维数问题","authors":"L. Hanlen, R. Timo, R. Perera","doi":"10.1109/AUSCTW.2006.1625268","DOIUrl":null,"url":null,"abstract":"We give a 2WT style result for the degrees of freedom of multipath signals that pass through spatially limited (sparse) scattering environments. The dimensionality scales with the circumference of the scattering region, and the total communications path length. We provide a direct comparison to the time-frequency case, where space replaces time. This is a rigorous wavefield examination of previous heuristic geometric arguments.","PeriodicalId":206040,"journal":{"name":"2006 Australian Communications Theory Workshop","volume":"44 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2006-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"On Dimensionality for Sparse Multipath\",\"authors\":\"L. Hanlen, R. Timo, R. Perera\",\"doi\":\"10.1109/AUSCTW.2006.1625268\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We give a 2WT style result for the degrees of freedom of multipath signals that pass through spatially limited (sparse) scattering environments. The dimensionality scales with the circumference of the scattering region, and the total communications path length. We provide a direct comparison to the time-frequency case, where space replaces time. This is a rigorous wavefield examination of previous heuristic geometric arguments.\",\"PeriodicalId\":206040,\"journal\":{\"name\":\"2006 Australian Communications Theory Workshop\",\"volume\":\"44 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2006-05-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2006 Australian Communications Theory Workshop\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/AUSCTW.2006.1625268\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2006 Australian Communications Theory Workshop","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/AUSCTW.2006.1625268","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We give a 2WT style result for the degrees of freedom of multipath signals that pass through spatially limited (sparse) scattering environments. The dimensionality scales with the circumference of the scattering region, and the total communications path length. We provide a direct comparison to the time-frequency case, where space replaces time. This is a rigorous wavefield examination of previous heuristic geometric arguments.
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