通过队列的比特

V. Anantharam, S. Verdú
{"title":"通过队列的比特","authors":"V. Anantharam, S. Verdú","doi":"10.1109/ISIT.1994.394647","DOIUrl":null,"url":null,"abstract":"Considers the following simple communication channel model: an error-free bit pipe leading to a buffer modeled by a single-server queue whose \"packets\" or \"customers\" are single bits. If the service rate is /spl mu/ bits/sec, common wisdom would indicate that the Shannon capacity of this communication link is /spl mu/ bits/sec. As we show in this paper, that intuition is wrong: the answer is actually higher than /spl mu/ bits/sec. How could we possibly transmit information at a rate faster than the service rate? After all, overdriving the queue with an arrival rate higher than p will not do, as the queue will become unstable and its output rate will not be higher than /spl mu/. The capacity is higher than /spl mu/ because information can be encoded into the arrival epochs. A simpler and more fundamental problem, namely the Shannon capacity of the single-server queue, is also considered.<<ETX>>","PeriodicalId":331390,"journal":{"name":"Proceedings of 1994 IEEE International Symposium on Information Theory","volume":"93 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1994-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"316","resultStr":"{\"title\":\"Bits through queues\",\"authors\":\"V. Anantharam, S. Verdú\",\"doi\":\"10.1109/ISIT.1994.394647\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Considers the following simple communication channel model: an error-free bit pipe leading to a buffer modeled by a single-server queue whose \\\"packets\\\" or \\\"customers\\\" are single bits. If the service rate is /spl mu/ bits/sec, common wisdom would indicate that the Shannon capacity of this communication link is /spl mu/ bits/sec. As we show in this paper, that intuition is wrong: the answer is actually higher than /spl mu/ bits/sec. How could we possibly transmit information at a rate faster than the service rate? After all, overdriving the queue with an arrival rate higher than p will not do, as the queue will become unstable and its output rate will not be higher than /spl mu/. The capacity is higher than /spl mu/ because information can be encoded into the arrival epochs. A simpler and more fundamental problem, namely the Shannon capacity of the single-server queue, is also considered.<<ETX>>\",\"PeriodicalId\":331390,\"journal\":{\"name\":\"Proceedings of 1994 IEEE International Symposium on Information Theory\",\"volume\":\"93 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1994-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"316\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 1994 IEEE International Symposium on Information Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISIT.1994.394647\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of 1994 IEEE International Symposium on Information Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT.1994.394647","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 316

摘要

考虑以下简单的通信通道模型:一个无错误的位管道通向一个由单服务器队列建模的缓冲区,该队列的“数据包”或“客户”是单个位。如果服务速率为/spl mu/ bits/sec,一般认为该通信链路的香农容量为/spl mu/ bits/sec。正如我们在本文中所展示的,这种直觉是错误的:答案实际上高于/spl mu/ bits/sec。我们怎么可能以比服务率更快的速度传递信息呢?毕竟,到达率高于p的队列不能超载,因为队列将变得不稳定,其输出率不会高于/spl mu/。容量高于/spl mu/,因为信息可以被编码到到达epoch中。本文还考虑了一个更简单、更基本的问题,即单服务器队列的香农容量。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Bits through queues
Considers the following simple communication channel model: an error-free bit pipe leading to a buffer modeled by a single-server queue whose "packets" or "customers" are single bits. If the service rate is /spl mu/ bits/sec, common wisdom would indicate that the Shannon capacity of this communication link is /spl mu/ bits/sec. As we show in this paper, that intuition is wrong: the answer is actually higher than /spl mu/ bits/sec. How could we possibly transmit information at a rate faster than the service rate? After all, overdriving the queue with an arrival rate higher than p will not do, as the queue will become unstable and its output rate will not be higher than /spl mu/. The capacity is higher than /spl mu/ because information can be encoded into the arrival epochs. A simpler and more fundamental problem, namely the Shannon capacity of the single-server queue, is also considered.<>
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信