{"title":"A lower bound on the cross correlation between signals of prescribed energy","authors":"L. Saporta","doi":"10.1109/TCOM.1964.1088911","DOIUrl":null,"url":null,"abstract":"The author describes how to derive the average cross-correlation as ⩾ [-1/(n-1)] (average signal energy), where the averaging is over the ensemble of signals. In the important special case in which all signals have the same energy E and all the cross-correlations are made equal to R, this result reduces to the constraint R ⩾ -[E/(n-1)].","PeriodicalId":179779,"journal":{"name":"IEEE Transactions on Communications Systems","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1964-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Communications Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/TCOM.1964.1088911","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
The author describes how to derive the average cross-correlation as ⩾ [-1/(n-1)] (average signal energy), where the averaging is over the ensemble of signals. In the important special case in which all signals have the same energy E and all the cross-correlations are made equal to R, this result reduces to the constraint R ⩾ -[E/(n-1)].
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