干扰作为噪音：朋友还是敌人？
Interference as Noise: Friend or Foe?
摘要：
本文证明了对于两用户高斯干扰信道（G-IC），无分时干扰噪声处理（TINnoTS）实现了容量域在一个恒定间隙内或在一个O阶间隙内的闭合（logln（min（S，其中S是直接链路上的最大信噪比（SNR），I是交叉链路上的最大干扰噪声比（INR）。因此，从广义自由度（gDoF）的角度来看，TINnoTS对于除零测量子集之外的所有信道增益都是最优的。已知具有高斯输入的TINnoTS对于弱干扰状态的子集在1/2比特内是最佳的。令人惊讶的是，本文表明，TINnoTS是gDoG最佳的所有参数制度，即使在强和非常强的干扰制度，其中联合解码高斯输入是最佳的。对于TINnoTS在所有参数范围内的近似最优性，使用非高斯输入至关重要。因此，这项工作提出使用混合输入作为通道输入，其中混合输入是离散和高斯随机变量的总和。有趣的是，相比汉小林内界，混合输入的离散部分被证明有效地充当一个共同的消息的意义上说，虽然被视为噪声，其对可实现的速率区域的影响是，如果它被联合解码与所需的消息在一个非预期的接收器。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”。由于TINnoTS既不需要联合解码也不需要分时，本文的结果适用于各种遗忘或异步信道，如块异步G-IC（它不是一个信息稳定的）和G-IC与部分码本知识在一个或多个接收机。
英文摘要：
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 O(logln(min(S,I))) where S is the largest Signal to Noise Ratio (SNR) on the direct links and I is the largest Interference to Noise Ratio (INR) 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 to within 1/2 bit for a subset of the weak interference regime. Surprisingly, this paper shows that TINnoTS is gDoG 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 work thus proposes to use mixed inputs as channel inputs where a mixed input is the sum of a discrete and a Gaussian random variable. Interestingly, compared to the Han-Kobayashi inner bound, the discrete part of a mixed input is shown to effectively act 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 a Gaussian interfering input is in general a 'foe'. Since TINnoTS requires neither joint decoding nor time sharing, the results of this paper are applicable to a variety of oblivions or asynchronous channels, such as the block asynchronous G-IC (which is not an information stable) and the G-IC with partial codebook knowledge at one or more receivers.
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。
