{"title":"规定能量的信号间互相关的下界","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":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1964-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"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\":\"22 1\",\"pages\":\"0\"},\"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}","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}
A lower bound on the cross correlation between signals of prescribed energy
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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