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arXiv 0801.1306cs.ITmath.IT
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高斯干扰信道的容量界

Capacity Bounds for the Gaussian Interference Channel

Abolfazl S. Motahari, Amir K. Khandani

摘要:

研究了两用户高斯干扰信道的容量域。三类渠道被认为是:弱,单侧,混合高斯IC。对于弱高斯IC,一个新的外边界上的容量区域,获得优于以前已知的外边界。在一定的信道参数范围内的总容量推导。对于这个范围,证明了使用高斯码本和将干扰作为噪声处理是最佳的。结果表明,当使用高斯码本,完整的Han-Kobayashi可实现的速率区域可以通过使用朴素的Han-Kobayashi可实现的方案在三个频带(相当于,三个子空间)。对于单侧高斯IC,给出了Sato外界的另一种证明。我们推导出完整的韩小林可实现的速率区域时,高斯码本利用。对于混合高斯IC,获得了一个新的外界,优于以前已知的外界。对于这种情况下,推导出整个信道参数范围的总容量。证明了在一定的信道参数范围内,采用高斯码本的全Han-Kobayashi可达速率域等价于单边高斯码本的可达速率域。

英文摘要:

The capacity region of the two-user Gaussian Interference Channel (IC) is studied. Three classes of channels are considered: weak, one-sided, and mixed Gaussian IC. For the weak Gaussian IC, a new outer bound on the capacity region is obtained that outperforms previously known outer bounds. The sum capacity for a certain range of channel parameters is derived. For this range, it is proved that using Gaussian codebooks and treating interference as noise is optimal. It is shown that when Gaussian codebooks are used, the full Han-Kobayashi achievable rate region can be obtained by using the naive Han-Kobayashi achievable scheme over three frequency bands (equivalently, three subspaces). For the one-sided Gaussian IC, an alternative proof for the Sato's outer bound is presented. We derive the full Han-Kobayashi achievable rate region when Gaussian codebooks are utilized. For the mixed Gaussian IC, a new outer bound is obtained that outperforms previously known outer bounds. For this case, the sum capacity for the entire range of channel parameters is derived. It is proved that the full Han-Kobayashi achievable rate region using Gaussian codebooks is equivalent to that of the one-sided Gaussian IC for a particular range of channel parameters.

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