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首页> 外文期刊>IEEE Transactions on Information Theory >Interference as Noise: Friend or Foe?
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Interference as Noise: Friend or Foe?

机译：作为噪音干扰：是敌还是友？

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摘要

This paper shows that for the two-user Gaussian interference channel (G-IC) treating interference as noise without time sharing (TINnoTS) achieves the closure of the capacity region to within either a constant gap, or to within a gap of the order up to a set of Lebesgue measure , where is the largest signal to noise ratio on the direct links and is the largest interference to noise ratio on the cross links. As a consequence, TINnoTS is optimal from a generalized degrees of freedom (gDoF) perspective for all channel gains except for a subset of zero measure. TINnoTS with Gaussian inputs is known to be optimal within 1/2 bit for a subset of the weak interference regime. Rather surprisingly, this paper shows that TINnoTS is gDoF optimal in all parameter regimes, even in the strong and very strong interference regimes where joint decoding of Gaussian inputs is optimal. For approximate optimality of TINnoTS in all parameter regimes, it is critical to use non-Gaussian inputs. This paper thus proposes to use mixed inputs as channel inputs for the G-IC, where a mixed input is the sum of a discrete and a Gaussian random variable. Interestingly, with reference to the Han–Kobayashi achievable scheme, the discrete part of a mixed input is shown to effectively behave as a common message in the sense that, although treated as noise, its effect on the achievable rate region is as if it were jointly decoded together with the desired messages at a non-intended receiver. The practical implication is that a discrete interfering input is a friend, while an Gaussian interferi- g input is in general a foe. This paper also discusses other practical implications of the proposed TINnoTS scheme with mixed inputs. Since TINnoTS requires neither explicit joint decoding nor time sharing, the results of this paper are applicable to a variety of oblivious or asynchronous channels, such as the block asynchronous G-IC (which is not an information stable channel) and the G-IC with partial codebook knowledge at one or more receivers.
机译：本文表明，对于两用户高斯干扰信道（G-IC），将干扰视为无时间共享的噪声（TINnoTS），可以将容量区域封闭在一个恒定的间隙内，或者在一个阶跃的间隙内一组Lebesgue测度，其中，是直接链路上最大的信噪比，也是交叉链路上最大的干扰噪声比。因此，从广义自由度（gDoF）角度来看，对于所有信道增益（零子集除外），TINnoTS都是最佳的。对于弱干扰机制的子集，已知具有高斯输入的TINnoTS在1/2位内是最佳的。出乎意料的是，本文表明TINnoTS在所有参数范围内都是gDoF最佳，即使在强和非常强的干扰范围内，其中高斯输入的联合解码均是最佳的。为了使TINnoTS在所有参数范围内达到近似最优，使用非高斯输入至关重要。因此，本文提出将混合输入用作G-IC的通道输入，其中混合输入是离散量和高斯随机变量的和。有趣的是，关于汉-小林可实现的方案，混合输入的离散部分被显示为有效地表现为公共消息，尽管它被视为噪声，但对可实现的速率区域的影响好像是在非预期接收器上与所需消息一起进行联合解码。实际含义是离散干扰输入是朋友，而高斯干扰输入通常是敌人。本文还讨论了带有混合输入的TINnoTS方案的其他实际含义。由于TINnoTS既不需要显式联合解码也不需要时间共享，所以本文的结果适用于各种遗忘或异步信道，例如块异步G-IC（这不是信息稳定信道）和具有一个或多个接收者的部分密码本知识。

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