This work investigates the general two-user compound Broadcast Channel (BC) in which an encoder wishes to transmit two private messages W1 and W2 to two receivers while being oblivious to the actual channel realizations controlling the communication. The focus is on the characterization of the largest achievable rate region by resorting to more involved encoding and decoding techniques than the usual coding schemes of the standard BC. Involved decoding schemes are first explored, and an achievable rate region is derived based on the principle of Interference Decoding (ID), in which each receiver decodes its intended message and chooses to (non-uniquely) decode, or not, the interfering non-itended message. This decoding scheme is shown to be capacity achieving for a class of non-trivial compound BEC/BSC broadcast channels while the worst-case of Marton’s inner bound—based on No Interference Decoding (NID)—fails to achieve the capacity region. Involved encoding schemes are later investigated, and an achievable rate region is derived based on Multiple Description (MD) coding wherin the encoder transmits a common description as well as multiple dedicated private descriptions to the many possible channel realizations of the users. It turns out that MD coding yields larger inner bounds than the single description scheme—Common Description (CD) coding—for a class of compound Multiple Input Single Output Broadcast Channels (MISO BC).

中文翻译：

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在复合广播信道上：多描述编码和干扰解码

这项工作研究了一般的双用户复合广播信道 (BC)，其中编码器希望将两个私人消息 W1 和 W2 传输到两个接收器，同时忽略控制通信的实际信道实现。重点是通过采用比标准 BC 的通常编码方案更复杂的编码和解码技术来表征最大可实现速率区域。首先探索涉及的解码方案，并根据干扰解码 (ID) 原理推导出可实现的速率区域，其中每个接收器解码其预期消息并选择（非唯一）解码或不解码干扰非消息。该解码方案被证明可以实现一类非平凡的复合 BEC/BSC 广播信道的容量，而 Marton 内部边界的最坏情况——基于无干扰解码 (NID)——未能实现容量区域。稍后研究涉及的编码方案，并且基于多重描述 (MD) 编码导出可实现的速率区域，其中编码器向用户的许多可能的信道实现传输公共描述以及多个专用私人描述。事实证明，对于一类复合多输入单输出广播频道 (MISO BC)，MD 编码比单一描述方案——通用描述 (CD) 编码产生更大的内部边界。稍后研究涉及的编码方案，并且基于多描述 (MD) 编码导出可实现的速率区域，其中编码器向用户的许多可能的信道实现传输公共描述以及多个专用私人描述。事实证明，对于一类复合多输入单输出广播频道 (MISO BC)，MD 编码比单一描述方案——通用描述 (CD) 编码产生更大的内部边界。稍后研究涉及的编码方案，并且基于多重描述 (MD) 编码导出可实现的速率区域，其中编码器向用户的许多可能的信道实现传输公共描述以及多个专用私人描述。事实证明，对于一类复合多输入单输出广播频道 (MISO BC)，MD 编码比单一描述方案——通用描述 (CD) 编码产生更大的内部边界。