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arXiv 1206.0197cs.ITmath.IT
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对称高斯K用户干扰信道的近似和容量

The Approximate Sum Capacity of the Symmetric Gaussian K-User Interference Channel

Or Ordentlich, Uri Erez, Bobak Nazer

摘要:

干扰对齐已成为分析多用户网络的一个有力工具。尽管最近取得了相当大的进展,但高斯K用户干扰信道的容量区域通常仍然是未知的,部分原因是与使用格码的信号尺度上的对准相关联的挑战。本文提出了一种新的框架格干涉对齐,计算和转发的方法的基础上。在该框架内,每个接收器通过首先恢复具有整数值系数的发送码字的两个或更多个线性组合并且然后求解这些方程以得到其期望的码字来进行解码。对于对称信道增益的特殊情况下,这个框架是用来推导高斯干扰信道的近似和容量,直到一个明确定义的中断集的信道增益。关键的贡献是从弱到强干扰机制的容量下限,其中每个接收机应该联合解码其自己的码字以及部分干扰码字。作为分析的一部分,它表明,解码的码字的K个线性组合可以接近的K用户高斯多址信道的总容量高达不超过Klog(K)/2比特的间隙。

英文摘要:

Interference alignment has emerged as a powerful tool in the analysis of multi-user networks. Despite considerable recent progress, the capacity region of the Gaussian K-user interference channel is still unknown in general, in part due to the challenges associated with alignment on the signal scale using lattice codes. This paper develops a new framework for lattice interference alignment, based on the compute-and-forward approach. Within this framework, each receiver decodes by first recovering two or more linear combinations of the transmitted codewords with integer-valued coefficients and then solving these equations for its desired codeword. For the special case of symmetric channel gains, this framework is used to derive the approximate sum capacity of the Gaussian interference channel, up to an explicitly defined outage set of the channel gains. The key contributions are the capacity lower bounds for the weak through strong interference regimes, where each receiver should jointly decode its own codeword along with part of the interfering codewords. As part of the analysis, it is shown that decoding K linear combinations of the codewords can approach the sum capacity of the K-user Gaussian multiple-access channel up to a gap of no more than K log(K)/2 bits.

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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