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The Broadcast Channel With Degraded Message Sets and Unreliable Conference

机译：具有退化消息集的广播频道和不可靠的会议

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摘要

It has long been observed that cooperation between users in a communication network can improve its performance. Unfortunately, in practical ad-hoc networks, cooperation links can be unreliable, and in many cases part of the users in the system cannot be updated about their availability. In such a case we need robust coding schemes that exploit the cooperation links if they are present, but can still operate if cooperation is not possible. In this work we study the general broadcast channel with degraded message sets and cooperation link that may be absent, and derive its capacity region under such uncertainty conditions. A generalization of this model is studied, where the cooperation link capacity is one of k possible values, and its capacity region is derived. We examine the situation where the cooperation link capacity is random and suggest the following performance criterion: maximize the average rate of one user, subject to a constraint on the rate of the other user and the requirement that the system will operate in any realization of the (random) cooperation link. As examples to illustrate our results, the Gaussian broadcast channel is extensively examined, and its capacity is derived for the various cooperation models and assumptions suggested throughout.
机译：它已经长期观察到，通信网络中用户之间的合作可以提高其性能。不幸的是，在实用的ad-hoc网络中，合作链接可能是不可靠的，在许多情况下，系统中的一部分用户都无法对其可用性进行更新。在这种情况下，我们需要强大的编码方案，该方案利用合作链接如果存在，但如果不可能进行合作，则仍然可以运行。在这项工作中，我们研究了具有降级的消息集和合作链路的一般广播频道，可以在这种不确定性条件下导出其容量区域。研究了该模型的概括，其中合作链路容量是K可能的值之一，其容量区域是衍生的。我们研究了合作链接能力随机的情况，并提出以下性能标准：最大化一个用户的平均速率，而受到其他用户的速率的约束，并且系统将在任何实现中运行的要求（随机）合作链接。作为示例，为了说明我们的结果，高斯广播频道被广泛检查，并且它的容量是针对各种合作模型的能力和综合所建议的假设。

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