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arXiv 1102.4272cs.ITmath.IT
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有限输入星座衰落中继信道的速率界

Bounds on the Achievable Rate for the Fading Relay Channel with Finite Input Constellations

Vijayvaradharaj T Muralidharan, B. Sundar Rajan

摘要:

本文研究了有限复输入星座的无线瑞利衰落中继信道。假设全球知识的信道状态信息和完美的同步,上界和下界的可实现的速率,全双工中继,以及更实际的半双工中继(其中中继不能同时发送和接收),进行了研究。假设在源节点和中继节点的功率约束是相等的,在直接传输(没有中继)通过使用中继提供的速率的增益进行了研究。结果表明,对于有限复输入星座的情况下,中继增益达到最大值在一个特定的SNR和更高的SNR中继增益趋于零。由于实际方案总是使用有限的复数输入星座,上述结果意味着当我们在特定SNR下操作时,中继提供了优于直接传输的最大优势,并且在非常高的SNR下没有提供优势。这与已知的具有高斯输入字母表的中继信道的结果相反。

英文摘要:

We consider the wireless Rayleigh fading relay channel with finite complex input constellations. Assuming global knowledge of the channel state information and perfect synchronization, upper and lower bounds on the achievable rate, for the full-duplex relay, as well as the more practical half-duplex relay (in which the relay cannot transmit and receive simultaneously), are studied. Assuming the power constraint at the source node and the relay node to be equal, the gain in rate offered by the use of relay over the direct transmission (without the relay) is investigated. It is shown that for the case of finite complex input constellations, the relay gain attains the maximum at a particular SNR and at higher SNRs the relay gain tends to become zero. Since practical schemes always use finite complex input constellation, the above result means that the relay offers maximum advantage over the direct transmission when we operate at a particular SNR and offers no advantage at very high SNRs. This is contrary to the results already known for the relay channel with Gaussian input alphabet.

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