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Improper Signaling Versus Time-Sharing in the Two-User Gaussian Interference Channel With TIN

机译:与TIN的双用户高斯干扰通道中的信号相对于时间共享不正确

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摘要

So-called improper complex signals have been shown to be beneficial in the single-antenna two-user Gaussian interference channel under the assumptions that all input signals are Gaussian and that we treat interference as noise (TIN). This result has been obtained under a restriction to pure strategies without time-sharing, and it was extended to the case where the rates, but not the transmit powers, may be averaged over several transmit strategies. In this paper, we drop such restrictions and discuss the most general case of coded time-sharing, where both the rates and the powers may be averaged. Since coded time-sharing can in general not be expressed by means of a convex hull of the rate region, we have to account for the possibility of time-sharing already during the optimization of the transmit strategy. By means of a novel channel enhancement argument, we prove a surprising result: proper signals are optimal if coded time-sharing is allowed. In addition to establishing this result, we present an algorithm to compute the corresponding achievable rate region.
机译:所谓的不正当的复杂信号已被证明在所有输入信号是高斯的假设下的单天线二用户高斯干扰通道中是有益的,并且我们将干扰视为噪声(TIN)。在没有时间共享的情况下,已经在没有时间共享的情况下对纯策略的限制获得了此结果,并且可以在几个发射策略上平均速率但不是发射功率的情况。在本文中,我们降低了这种限制,并讨论了编码时间共享的最常规情况,其中速率和功率都可以平均。由于编码时间共享通常不能通过速率区域的凸壳表示,因此我们必须考虑在发射策略的优化期间已经时间共享的可能性。通过一种新颖的频道增强参数,我们证明了一个令人惊讶的结果:如果允许编码时间共享,则适当的信号是最佳的。除了建立此结果之外,我们还提出了一种计算相应的可实现率区域的算法。

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