{"title":"The antiphon. II. The exact evaluation of memory capacity","authors":"P. Whittle","doi":"10.1098/rspa.1990.0050","DOIUrl":null,"url":null,"abstract":"An improved analysis is given of the antiphon: the device proposed in Whittle (1989) to achieve reliable memory from unreliable components. It is shown that for large systems of N such components one can reliably store KN + o(N) nats of information, and the supremum value of K (the capacity, C) is determined. It is moreover shown that a positive capacity (which is evaluated) can be achieved with the number M of processing units of no more than order N.","PeriodicalId":20605,"journal":{"name":"Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1990-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1098/rspa.1990.0050","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
An improved analysis is given of the antiphon: the device proposed in Whittle (1989) to achieve reliable memory from unreliable components. It is shown that for large systems of N such components one can reliably store KN + o(N) nats of information, and the supremum value of K (the capacity, C) is determined. It is moreover shown that a positive capacity (which is evaluated) can be achieved with the number M of processing units of no more than order N.
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