Achieving the ergodic capacity with lattice codes
Achieving the ergodic capacity with lattice codes
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使用格码实现遍历能力
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
Aria Nosratinia
中科院分区：
文献类型：
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作者：
Ahmed Hindy;Aria Nosratinia
格码在加性白色高斯噪声（AWGN）信道下的性能受到了广泛关注，但其在各态历经衰落信道下的性能还没有得到研究。我们表明，格编码和解码实现遍历点到点和多址接入信道（MAC）的能力。此外，提出了一种低复杂度的方案遍历MAC。在中等和高信噪比（SNR）下，由低复杂度方案实现的和速率与遍历MAC和容量在恒定间隙内，而在低SNR下，与容量的间隙差距随着线性SNR减小而二次减小。
The performance of lattice codes in the additive white Gaussian noise (AWGN) channel has attracted much attention lately, however, their performance under ergodic fading channels has been relatively unexplored. We show that lattice coding and decoding achieve the capacity of the ergodic point-to-point and multiple-access channels (MAC). Additionally, a low-complexity scheme is proposed for the ergodic MAC. At moderate and high signal-to-noise ratio (SNR), the sum rate achieved by the low-complexity scheme is within a constant gap to the ergodic MAC sum capacity, whereas at low SNR the gap to capacity diminishes quadratically with linear SNR decrease.