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Maximum sum rates via analysis of 2-user interference channel achievable rates region

机译:通过分析2用户干扰信道可达到的速率区域获得最大总速率

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Treating the interference as noise, the paper studies the first derivative of the frontiers which trace the achievable rates region of the 2-user interference channel. The achievable rates region in this case was found to be the convex hull of the union of two regions, each is bounded by a log-defined line. Those log-defined lines are characterized by holding one of the transmitters at full power, while the other transmitter sweeps its full power range. Maximizing the sum rates for the 2-user interference channel translates to the study of the first intersection point with lines of slope -1 approaching the rates region from positive infinity. The paper achieves the same result reported, that the maximum sum rates solution is one of three points: one user transmitting with full power while the other user is silent, or both users transmitting at full power simultaneously. The result is achieved through analysis of the objective function, while the solution presented herein follows from analyzing the first derivative of the rates region frontiers.
机译:将干扰视为噪声,本文研究了边界的一阶导数,这些边界跟踪了2用户干扰信道可实现的速率区域。在这种情况下,可达到的比率区域被发现是两个区域联合的凸包,每个区域都由对数定义的线界定。这些对数定义的线的特征在于,其中一个发射机保持全功率,而另一个发射机则扫描其全功率范围。最大化2用户干扰信道的总速率意味着研究第一个交点,其中坡度-1的线从正无穷大接近速率区域。本文获得了与报告相同的结果,最大总和解决方案是以下三点之一:一个用户以全功率发送而另一用户保持沉默,或者两个用户同时以全功率发送。该结果是通过分析目标函数获得的,而本文介绍的解决方案是通过分析速率区域边界的一阶导数得出的。

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