arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1807.09934cs.ITmath.IT
收藏

强异步海量接入信道

The Strongly Asynchronous Massive Access Channel

Sara Shahi, Daniela Tuninetti, Natasha Devroye

摘要:

本文研究了一种强异步时隙大规模接入信道(SAS-MAC),其中$K_n:=e^{nν}$不同的用户在$A_n:=e^{nα}$块长度的强异步窗口内从$M_n:=e^{nR}$中发送随机选择的消息,其中每个块持续$n$信道使用。强制执行全局错误概率,确保所有用户的身份和消息都被正确识别和解码。对于不同用户具有相似信道的情况、用户信道可以从块长度$n$中具有多项式多个元素的集合中选择的情况以及对用户信道没有限制的情况,导出了可扩展性界。导出了系统容量域的一般逆界和用户数最大增长率的逆界。

英文摘要:

This paper considers a Strongly Asynchronous and Slotted Massive Access Channel (SAS-MAC) where $K_n:=e^{nν}$ different users transmit a randomly selected message among $M_n:=e^{nR}$ ones within a strong asynchronous window of length $A_n:=e^{nα}$ blocks, where each block lasts $n$ channel uses. A global probability of error is enforced, ensuring that all the users' identities and messages are correctly identified and decoded. Achievability bounds are derived for the case that different users have similar channels, the case that users' channels can be chosen from a set which has polynomially many elements in the blocklength $n$, and the case with no restriction on the users' channels. A general converse bound on the capacity region and a converse bound on the maximum growth rate of the number of users are derived.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑