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arXiv 0810.3900cs.ITmath.IT
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双向中继信道容量与分集复用的权衡

On the Capacity and Diversity-Multiplexing Tradeoff of the Two-Way Relay Channel

Rahul Vaze, Robert W. Heath

摘要:

本文研究了多输入多输出(MIMO)双向中继信道,其中两个节点希望使用多个中继来交换数据。当每个中继采用放大转发策略时,提出了一种迭代算法来获得最优的可达速率区域。迭代算法在每一步都解决了功率最小化问题,但受到最小信号干扰噪声比约束,该问题是非凸的,然而,对于该问题,Karush Kuhn Tuker条件足以保证最优性。最优AF策略假设每个中继站具有全局信道状态信息(CSI)。为了简化CSI要求,还提出了一种简单的放大和转发策略,称为双信道匹配,其仅需要本地信道状态信息,并且其可达到的速率区域接近于最优AF策略的速率区域。在大量中继的渐近制度,我们表明,可实现的双信道匹配的速率区域和上限不同的只有一个常数项,并建立容量的双向中继信道的缩放定律。中继策略实现最佳的分集复用权衡也被认为是一个单一的中继节点。的压缩和转发策略被证明是最佳的实现分集复用的全双工情况下,在一般情况下,在某些情况下,半双工的情况下,权衡。

英文摘要:

This paper considers a multiple input multiple output (MIMO) two-way relay channel, where two nodes want to exchange data with each other using multiple relays. An iterative algorithm is proposed to achieve the optimal achievable rate region, when each relay employs an amplify and forward (AF) strategy. The iterative algorithm solves a power minimization problem at every step, subject to minimum signal-to-interference-and-noise ratio constraints, which is non-convex, however, for which the Karush Kuhn Tuker conditions are sufficient for optimality. The optimal AF strategy assumes global channel state information (CSI) at each relay. To simplify the CSI requirements, a simple amplify and forward strategy, called dual channel matching, is also proposed, that requires only local channel state information, and whose achievable rate region is close to that of the optimal AF strategy. In the asymptotic regime of large number of relays, we show that the achievable rate region of the dual channel matching and an upper bound differ by only a constant term and establish the capacity scaling law of the two-way relay channel. Relay strategies achieving optimal diversity-multiplexing tradeoff are also considered with a single relay node. A compress and forward strategy is shown to be optimal for achieving diversity multiplexing tradeoff for the full-duplex case, in general, and for the half-duplex case in some cases.

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