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Secrecy Capacity Region of Some Classes of Wiretap Broadcast Channels

机译：某些类型的窃听广播频道的保密容量区域

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摘要

This paper investigates the secrecy capacity of the wiretap broadcast channel (WBC) with an external eavesdropper where a source wishes to communicate two private messages over a broadcast channel (BC) while keeping them secret from the eavesdropper. We derive a nontrivial outer bound on the secrecy capacity region of this channel which, in absence of security constraints, reduces to the best known outer bound to the capacity of the standard BC. An inner bound is also derived, which follows the behavior of both the best known inner bound for the BC and the wiretap channel. These bounds are shown to be tight for the deterministic BC with a general eavesdropper, the semideterministic BC with a more noisy eavesdropper, and the wiretap BC where users exhibit a less noisiness order between them. Finally, by rewriting our outer bound to encompass the characteristics of parallel channels, we also derive the secrecy capacity region of the product of two inversely less noisy BCs with a more noisy eavesdropper. We illustrate our results by studying the impact of security constraints on the capacity of the WBC with binary erasure and binary symmetric components.
机译：本文研究了带有外部窃听程序的窃听广播信道（WBC）的保密能力，其中消息源希望通过广播信道（BC）传递两条私人消息，同时将其对窃听者保密。我们在此通道的保密能力区域上导出了一个非平凡的外部边界，在没有安全约束的情况下，该边界减小为标准BC容量的最广为人知的外部边界。还导出了一个内部边界，该边界遵循BC最著名的内部边界和窃听通道的行为。对于使用一般窃听器的确定性BC，使用较多窃听器的半确定性BC和用户之间噪声等级较低的窃听BC，这些界限显示得很紧。最后，通过重写外部边界以包含并行通道的特征，我们还导出了两个反向噪声较小的BC和噪声较大的窃听者的乘积的保密容量区域。我们通过研究安全约束对具有二进制擦除和二进制对称成分的WBC容量的影响来说明我们的结果。

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