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Feedback and Partial Message Side-Information on the Semideterministic Broadcast Channel

机译:半确定性广播信道上的反馈和部分消息附带信息

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摘要

The capacity of the semideterministic discrete memoryless broadcast channel (SD-BC) with partial message side-information (P-MSI) at the receivers is established. In the setting without a common message, it is shown that P-MSI to the stochastic receiver alone can increase capacity, whereas P-MSI to the deterministic receiver can only increase capacity if also the stochastic receiver has P-MSI. The latter holds only for the setting without a common message: if the encoder also conveys a common message, then P-MSI to the deterministic receiver alone can increase capacity. These capacity results are used to show that feedback from the stochastic receiver can increase the capacity of the SD-BC without P-MSI and the sum-rate capacity of the SD-BC with P-MSI at the deterministic receiver. The link between P-MSI and feedback is a feedback code, which—roughly speaking—turns feedback into P-MSI at the stochastic receiver, and hence helps the stochastic receiver mitigate experienced interference. For the case, where the stochastic receiver has full MSI (F-MSI) and can thus fully mitigate experienced interference also in the absence of feedback, it is shown that feedback cannot increase capacity.
机译:建立了在接收器具有部分消息边信息(P-MSI)的半确定性离散无记忆广播信道(SD-BC)的容量。在没有公共消息的设置中,表明到随机接收器的P-MSI可以增加容量,而确定性接收器的P-MSI仅在随机接收器也具有P-MSI的情况下才可以增加容量。后者仅适用于没有公共消息的设置:如果编码器也传递公共消息,则仅向确定性接收器发送P-MSI即可增加容量。这些容量结果用于表明,来自随机接收器的反馈可以增加确定性接收器不使用P-MSI时SD-BC的容量以及使用P-MSI时SD-BC的总速率容量。 P-MSI和反馈之间的链接是一个反馈代码,大致来说,它会将反馈转换为随机接收机上的P-MSI,从而帮助随机接收机减轻了遭受的干扰。对于这种情况,其中随机接收机具有完整的MSI(F-MSI),因此即使在没有反馈的情况下也可以充分缓解经历的干扰,这表明反馈无法增加容量。

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