论文标题
使用有限的CSI反馈来确保多用户广播窃听频道
Securing Multi-User Broadcast Wiretap Channels with Finite CSI Feedback
论文作者
论文摘要
在这项工作中,我们研究了在发射器中使用有限的频道知识的障碍通道上安全广播的问题。更特别地,我们分析了有限速率反馈对多用户广播窃听通道的吞吐量的影响。我们认为,发射器仅由每个合法接收器在每个褪色块开始时发送的主要渠道状态信息(CSI)的反馈提供,而不是容量有限的无错误的公共链接。另外,我们假设发射器意识到了窃听的CSI的统计数据,但没有其渠道的实现。在CSI不确定性的这些假设下,当将通用消息传播到所有合法接收器时,当通用消息传播到所有合法的接收器时,我们表征了系统的厄运秘密能力,当传播多个独立的消息时,Ergodic Secrecy Sum-Eabacity以及具有机密信息的广播渠道(BCCM)的Ergodic Secrecy能力区域(BCCM)。在所有三种情况下,我们都表明,只要发射器对主要CSI有一定的了解,即使通过1位CSI反馈获得,仍然可以实现非零的保密率。还研究了BCCM案件中向二元擦除通道(BEC)发送反馈(BEC)的影响。再次,即使有可能删除反馈位的可能性,只要擦除事件不是概率 - 一项事件,仍然可以达到正面的保密率。对高SNR制度提供了对所获得结果的渐近分析,当合法接收器的数量较大时,系统的缩放定律也会列出。
In this work, we investigate the problem of secure broadcasting over block-fading wiretap channels with limited channel knowledge at the transmitter. More particularly, we analyze the effect of having a finite rate feedback on the throughput of multi-user broadcast wiretap channels. We consider that the transmitter is only provided by a $b$-bits feedback of the main channel state information (CSI) sent by each legitimate receiver, at the beginning of each fading block, over error-free public links with limited capacity. Also, we assume that the transmitter is aware of the statistics of the eavesdropper's CSI but not of its channel's realizations. Under these assumptions of CSI uncertainty, we characterize the ergodic secrecy capacity of the system when a common message is broadcasted to all legitimate receivers, the ergodic secrecy sum-capacity when multiple independent messages are transmitted, and the ergodic secrecy capacity region for the broadcast channel with confidential messages (BCCM). In all three scenarios, we show that as long as the transmitter has some knowledge of the main CSI, obtained even through a 1-bit CSI feedback, a non-zero secrecy rate can still be achieved. The impact of having the feedback sent over a binary erasure channel (BEC) is also investigated for the BCCM case. Here again, and even with the possibility of having the feedback bits erased, a positive secrecy rate can still be achieved as long as the erasure event is not a probability-one event. An asymptotic analysis of the obtained results is provided for the high SNR regime, and the scaling law of the system, when the number of legitimate receivers is large, is also presented.