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Dirty-Paper Coding for the Gaussian Multiaccess Channel With Conferencing

机译：带会议的高斯多路访问信道的脏纸编码

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摘要

We derive the capacity region of the two-user dirty-paper Gaussian multiaccess channel (MAC) with conferencing encoders. In this MAC, prior to each transmission block, the transmitters can hold a conference in which they can communicate with each other over error-free bit pipes of given capacities. The received signal suffers not only from additive Gaussian noise but also from additive interference, which is known noncausally to the transmitters but not to the receiver. The additive interference is modeled as Gaussian or uniform over a sphere. We show that the interference can be perfectly mitigated, i.e., that the capacity region without interference can also be achieved in its presence. This holds irrespective of whether the transmitters learn the interference before or after the conference. It follows as a corollary that also for the MAC with degraded message sets, the interference can be perfectly mitigated if it is known noncausally to the transmitters. To derive our results, we generalize Costa's single-user writing-on-dirty-paper achievability result to channels with dependent interference and not-necessarily Gaussian noise.
机译：我们使用会议编码器得出两用户脏纸高斯多址通道（MAC）的容量区域。在此MAC中，在每个传输块之前，发送器可以举行会议，在会议中，它们可以通过给定容量的无错位管道相互通信。所接收的信号不仅遭受加性高斯噪声，而且还遭受加性干扰，这对于发送器而不是接收器是非因果已知的。加性干涉建模为球体上的高斯或均匀分布。我们表明，可以完全减轻干扰，即在存在干扰的情况下也可以实现无干扰的容量区域。这与发射机在会议之前还是之后学习干扰无关。随之而来的推论是，对于具有降级消息集的MAC，如果发射机无故知道干扰，则可以完全减轻干扰。为了得出我们的结果，我们将Costa的单用户脏纸书写的可实现性结果推广到具有相关干扰和不必要的高斯噪声的信道。

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