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首页> 外文期刊>IEEE Transactions on Information Theory >On the Subtleties of src='/images/tex/20751.gif' alt='q'> -PAM Linear Physical-Layer Network Coding
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On the Subtleties of src='/images/tex/20751.gif' alt='q'> -PAM Linear Physical-Layer Network Coding

机译：关于 src =“ / images / tex / 20751.gif” alt =“ q”> -PAM线性物理层网络编码的微妙之处

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This paper investigates various subtleties of applying linear physical-layer network coding (PNC) with -level pulse amplitude modulation (-PAM) in two-way relay channels. A critical issue is how the PNC system performs when the received powers from the two users at the relay are imbalanced. In particular, how would the PNC system perform under slight power imbalance that is inevitable in practice, even when power control is applied? To answer these questions, this paper presents a comprehensive analysis of -PAM PNC. Our contributions are as follows. First, we give a systematic way to obtain the analytical relationship between the minimum distance of the signal constellation induced by the superimposed signals of the two users (a key performance determining factor) and the channel-gain ratio of the two users, for all . In particular, we show how the minimum distance changes in a piecewise linear fashion as the channel-gain ratio varies. Second, we show that the performance of -PAM PNC is highly sensitive to imbalanced received powers from the two users at the relay, even when the power imbalance is slight (e.g., the residual power imbalance in a power-controlled system). This sensitivity problem is exacerbated as increases, calling into question the robustness of high-order modulated PNC. Third, we propose an asynchronized PNC system in which the symbol arrival times of the two users at the relay are deliberately made to be asynchronous. We show that such asynchronized PNC, when operated with a belief propagation deco- er, can remove the sensitivity problem, allowing a robust high-order modulated PNC system to be built.
机译：本文研究了在双向中继信道中应用带有电平脉冲幅度调制（-PAM）的线性物理层网络编码（PNC）的各种技巧。一个关键问题是，当来自两个用户的中继站的接收功率不平衡时，PNC系统的性能如何。特别是，即使在应用电源控制的情况下，PNC系统在实际不可避免的轻微功率不平衡下又将如何运行？为了回答这些问题，本文对-PAM PNC进行了全面分析。我们的贡献如下。首先，我们给出一种系统的方法来获得两个用户的叠加信号所引起的信号星座图的最小距离（关键性能决定因素）与两个用户的信道增益比之间的解析关系。特别是，我们显示了最小距离如何随通道增益比的变化以分段线性方式变化。其次，我们表明-PAM PNC的性能对继电器上来自两个用户的不平衡接收功率高度敏感，即使功率不平衡很小（例如，功率控制系统中的剩余功率不平衡）。灵敏度问题随着增加而加剧，这使高阶调制PNC的鲁棒性受到质疑。第三，我们提出了一种异步PNC系统，其中故意将两个用户在中继站的符号到达时间设为异步。我们证明，当与置信传播解码器一起使用时，这种异步PNC可以消除灵敏度问题，从而可以构建健壮的高阶调制PNC系统。

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