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arXiv 1808.01611cs.ITmath.IT
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TIN两用户高斯干扰信道中的误信令与分时

Improper Signaling versus Time-Sharing in the Two-User Gaussian Interference Channel with TIN

Christoph Hellings, Wolfgang Utschick

摘要:

在所有输入信号都是高斯信号并且我们将干扰视为噪声(TIN)的假设下,在单天线两用户高斯干扰信道中,所谓的不适当复信号已被证明是有益的。这个结果是在没有分时的纯策略的限制下获得的,并且它被扩展到速率而不是发射功率可以在几个发射策略上平均的情况。在本文中,我们放弃这样的限制,并讨论最一般的情况下,编码的分时,其中的速率和功率可以平均。由于编码的分时通常不能通过速率区域的凸包来表示,因此我们必须在发送策略的优化期间考虑分时的可能性。通过一个新的信道增强参数,我们证明了一个令人惊讶的结果:适当的信号是最佳的,如果编码分时是允许的。除了建立这个结果,我们提出了一个算法来计算相应的可达速率区域。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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