{"title":"一种新的多天线系统维数度量","authors":"M. Elnaggar, S. Safavi-Naeini, S. Chaudhuri","doi":"10.1109/APMC.2006.4429415","DOIUrl":null,"url":null,"abstract":"We propose a novel dimensionality metric for multi-antenna systems. Being SNR- independent, the metric is suitable for multipath richness comparison of several scenarios having their channel matrices Frobenius-normalized. The metric is based on the equivalence between the given singular values distribution of the normalized channel matrix and those of equi-contribution parallel sub-channels. Under 3 different equivalence criteria (mean, variance or Mean-Square-Error with respect to the optimum singular value), the proposed metric yields the same value, namely, the squared mean of the Frobenius- normalized singular values scaled by a factor (min/max) of the number of the transmit/receive elements.","PeriodicalId":137931,"journal":{"name":"2006 Asia-Pacific Microwave Conference","volume":"55 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2006-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"A novel dimensionality metric for multi-antenna systems\",\"authors\":\"M. Elnaggar, S. Safavi-Naeini, S. Chaudhuri\",\"doi\":\"10.1109/APMC.2006.4429415\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We propose a novel dimensionality metric for multi-antenna systems. Being SNR- independent, the metric is suitable for multipath richness comparison of several scenarios having their channel matrices Frobenius-normalized. The metric is based on the equivalence between the given singular values distribution of the normalized channel matrix and those of equi-contribution parallel sub-channels. Under 3 different equivalence criteria (mean, variance or Mean-Square-Error with respect to the optimum singular value), the proposed metric yields the same value, namely, the squared mean of the Frobenius- normalized singular values scaled by a factor (min/max) of the number of the transmit/receive elements.\",\"PeriodicalId\":137931,\"journal\":{\"name\":\"2006 Asia-Pacific Microwave Conference\",\"volume\":\"55 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2006-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2006 Asia-Pacific Microwave Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/APMC.2006.4429415\",\"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 Asia-Pacific Microwave Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/APMC.2006.4429415","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A novel dimensionality metric for multi-antenna systems
We propose a novel dimensionality metric for multi-antenna systems. Being SNR- independent, the metric is suitable for multipath richness comparison of several scenarios having their channel matrices Frobenius-normalized. The metric is based on the equivalence between the given singular values distribution of the normalized channel matrix and those of equi-contribution parallel sub-channels. Under 3 different equivalence criteria (mean, variance or Mean-Square-Error with respect to the optimum singular value), the proposed metric yields the same value, namely, the squared mean of the Frobenius- normalized singular values scaled by a factor (min/max) of the number of the transmit/receive elements.
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