{"title":"Reciprocity for MIMO systems","authors":"C. Withers, S. Nadarajah","doi":"10.1002/ett.1476","DOIUrl":null,"url":null,"abstract":"We give reciprocity results for the channel capacity efficiency (i.e. the capacity/bandwidth – abbreviated here to capacity) of an N-transmit M-receive antenna wireless system, when the gain matrix is known to the receiver but not the transmitter. The channel may be non-Gaussian. Transmitter power or receiver noise may be variable. We consider the case when N or M is large but not both. \n \n \n \nFormulas are also given for the mean capacity when there is correlation at both ends. Capacity is approximately Gaussian. For a non-Gaussian channel the approximate mean capacity is not changed but the variance is increased by a certain factor. It is noted that reciprocity fails. The key to making it work is to introduce a ‘power factor’ that allows for the case when the power of each transmitter does not depend on N as well as for the usual case when the total power is fixed. Copyright © 2011 John Wiley & Sons, Ltd.","PeriodicalId":50473,"journal":{"name":"European Transactions on Telecommunications","volume":"2 1","pages":"276-281"},"PeriodicalIF":0.0000,"publicationDate":"2011-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"European Transactions on Telecommunications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1002/ett.1476","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 6
MIMO系统的互易性
当增益矩阵为接收方而非发送方所知时,我们给出了n发m收天线无线系统的信道容量效率(即容量/带宽-在这里简称为容量)的互易结果。信道可以是非高斯的。发射机功率或接收机噪声可能是可变的。我们考虑N或M都很大但不是两者都很大的情况。并给出了两端有相关性时的平均容量计算公式。容量近似为高斯分布。对于非高斯信道,近似平均容量不会改变,但方差会增加一个因子。值得注意的是,互惠是失败的。使其工作的关键是引入一个“功率因数”,允许在每个发射机的功率不依赖于N的情况下以及在总功率固定的情况下使用。版权所有©2011 John Wiley & Sons, Ltd
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