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Achievable Rates for the General Gaussian Multiple Access Wire-Tap Channel with Collective Secrecy

机译:具有集体保密性的通用高斯多址窃听通道的可达到速率

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We consider the General Gaussian Multiple Access Wire-Tap Channel (GGMAC-WT). In this scenario, multiple users communicate with an intended receiver in the presence of an intelligent and informed eavesdropper who is as capable as the intended receiver, but has different channel parameters. We aim to provide perfect secrecy for the transmitters in this multi-access environment. Using Gaussian codebooks, an achievable secrecy region is determined and the power allocation that maximizes the achievable sum-rate is found. Numerical results showing the new rate region are presented. It is shown that the multiple-access nature of the channel may be utilized to allow users with zero single-user secrecy capacity to be able to transmit in perfect secrecy. In addition, a new collaborative scheme is shown that may increase the achievable sum-rate. In this scheme, a user who would not transmit to maximize the sum rate can help another user who (i) has positive secrecy capacity to increase its rate, or (ii) has zero secrecy capacity to achieve a positive secrecy capacity.
机译:我们考虑通用高斯多址窃听通道(GGMAC-WT)。在这种情况下,多个用户会在智能和知情的窃听者的存在下与预期的接收者进行通信,该窃听者的能力与预期的接收者一样,但是具有不同的信道参数。我们的目标是在这种多路访问环境中为发射机提供完美的保密性。使用高斯码本,确定可实现的保密区域,并找到使可实现的总和率最大化的功率分配。数值结果显示了新的速率区域。示出了信道的多址性质可以被利用以允许具有零单用户保密容量的用户能够以完美的保密性进行发送。另外,示出了可以增加可达到的总和率的新的协作方案。在该方案中,不进行传输以使总速率最大化的用户可以帮助(i)具有正保密能力的其他用户提高其速率,或者(ii)具有零保密能力以实现正保密能力的另一个用户。

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