An Analysis of Retransmission Systems
An Analysis of Retransmission Systems
复制标题
重传系统分析
DOI：
10.1109/tcom.1964.1088975
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发表时间：
1964
影响因子：
8.3
通讯作者：
A. Frey
中科院分区：
文献类型：
--
作者：
R. Benice;A. Frey
本文分析了三种基本类型的重传逻辑的吞吐率R和未检测到的误块率ρ：1）发送并等待确认，2）连续重复发送每个单独的未确认消息，和3）连续地重复发送每个未确认的消息及其后面的消息。根据检测到块错误的概率，得到了R和ρ的公式以及误解释确认或重传请求的概率。考虑了几种用于解释混淆服务信息的选项，并获得了相应的R和ρ的公式。框图显示可能的事件序列和它们的概率为每种类型的逻辑。分析了基于七态和十态马尔可夫过程的第三逻辑需求模型。易处理的公式不能以封闭形式获得，而只能作为矩阵方程的解。在这种情况下，导出了R和ρ的近似公式。本文的结果被用在一个配套文件中，比较各种信道条件下的前向纠错码和重传系统的性能。
This paper presents an analysis of the throughput rate R and undetected block error rate ρ for each of three basic types of retransmission logics: 1) send and wait for confirmation, 2) send continuously repeating each individual unconfirmed message, and 3) send continuously repeating each unconfirmed message together with those which followed it. Formulas for R and ρ were obtained in terms of the probability of detected block error and the probability of misinterpreted confirmation or retransmission request. Several options for interpreting garbled service information were considered and the corresponding formulas for R and ρ were obtained. Block diagrams are presented which show the possible sequences of events and their probabilities for each type of logic. Analysis of the third logic required models based on seven-state and ten-state Markov processes. Tractable formulas were not obtainable in closed form but only as solutions to matrix equations. Approximate formulas for R and ρ were derived for this case. The results of this paper are used in a companion paper to compare the performance of forward error correcting codes and retransmission systems under various channel conditions.