AN ACHIEVABLE RATE REGION FOR THE MULTIPLE-ACCESS CHANNEL WITH FEEDBACK
AN ACHIEVABLE RATE REGION FOR THE MULTIPLE-ACCESS CHANNEL WITH FEEDBACK
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DOI：
10.1109/tit.1981.1056357
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发表时间：
1981-01-01
影响因子：
2.5
通讯作者：
LEUNG, CSK
中科院分区：
文献类型：
--
作者：
COVER, TM;LEUNG, CSK
可达到的速率区域R_{1} \leq I(X_{1};Y|X_{2},U)、R_{2} \leq I(X_{2}; Y|X_{1},U)、R_{1}+R_{2} \leq I(X_{1}, X_{2};Y)， 其中p(u,x_{l},x_{2},y)= p(u)p(x_{l}|u)p(x_{2}|u)p(y|x_{l},x_{2})，是为带反馈的多址信道建立的。这些可实现的速率的时间共享产生了本文的速率区域。该区域通常超过没有反馈时可实现的速率区域，并且超过Gaarder和Wolf为有反馈的二进制擦除多址信道找到的速率点。反馈的存在使得独立的发射器能够在接收器具有足够的信息来实现期望的解码之前了解彼此的预期传输。这使得发射机能够协作传输信息，从而解决接收机的残余不确定性。同时，来自发射机的独立信息叠加在协作校正信息上。证明涉及列表编码和块马尔可夫编码。
An achievable rate regionR_{1} \leq I(X_{1};Y|X_{2},U), R_{2} \leq I(X_{2}; Y|X_{1},U), R_{1}+R_{2} \leq I(X_{1}, X_{2};Y), wherep(u,x_{l},x_{2},y)= p(u)p(x_{l}|u)p(x_{2}|u)p(y|x_{l},x_{2}), is established for the multiple-access channel with feedback. Time sharing of these achievable rates yields the rate region of this paper. This region generally exceeds the achievable rate region without feedback and exceeds the rate point found by Gaarder and Wolf for the binary erasure multiple-access channel with feedback. The presence of feedback allows the independent transmitters to understand each other's intended transmissions before the receiver has sufficient information to achieve the desired decoding. This allows the transmitters to cooperate in the transmission of information that resolves the residual uncertainty of the receiver. At the same time, independent information from the transmitters is superimposed on the cooperative correction information. The proof involves list codes and block Markov encoding.