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Ergodic Interference Alignment

机译：遍历干扰对齐

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摘要

This paper develops a new communication strategy, ergodic interference alignment, for the $K$-user interference channel with time-varying fading. At any particular time, each receiver will see a superposition of the transmitted signals plus noise. The standard approach to such a scenario results in each transmitter–receiver pair achieving a rate proportional to $1/K$ its interference-free ergodic capacity. However, given two well-chosen time indices, the channel coefficients from interfering users can be made to exactly cancel. By adding up these two observations, each receiver can obtain its desired signal without any interference. If the channel gains have independent, uniform phases, this technique allows each user to achieve at least 1/2 its interference-free ergodic capacity at any signal-to-noise ratio. Prior interference alignment techniques were only able to attain this performance as the signal-to-noise ratio tended to infinity. Extensions are given for the case where each receiver wants a message from more than one transmitter as well as the “X channel” case (with two receivers) where each transmitter has an independent message for each receiver. Finally, it is shown how to generalize this strategy beyond Gaussian channel models. For a class of finite field interference channels, this approach yields the ergodic capacity region.
机译：本文针对具有时变衰落的$ K $用户干扰信道，开发了一种新的通信策略，即遍历干扰对齐。在任何特定时间，每个接收器都会看到发射信号加噪声的叠加。这种情况的标准方法是使每对发射机-接收机对获得的速率与其无干扰遍历容量的比例为1 / K $。但是，给定两个精心选择的时间索引，可以使来自干扰用户的信道系数完全抵消。通过将这两个观察结果相加，每个接收器都可以获得其所需信号，而不会受到任何干扰。如果信道增益具有独立，一致的相位，则该技术允许每个用户在任何信噪比下至少达到其无干扰遍历容量的1/2。现有的干扰对准技术只能在信噪比趋于无穷大时才能达到这一性能。对于每个接收者都希望从多个发射器接收消息的情况以及“ X通道”情况（具有两个接收器）的情况进行了扩展，其中每个发射器对每个接收器都有独立的消息。最后，展示了如何在高斯通道模型之外推广这种策略。对于一类有限场干扰信道，此方法产生遍历容量区域。

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