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arXiv 0810.1268cs.ITmath.IT
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多中继双向半双工协议

Bi-directional half-duplex protocols with multiple relays

Sang Joon Kim, Natasha Devroye, Vahid Tarokh

摘要:

在双向中继信道中,两个节点希望在中继的帮助下在共享的无线半双工信道上交换独立的消息。最近的工作已经考虑了具有单个中继的双向中继信道的信息理论限制。在这项工作中,我们考虑双向中继多继电器。我们推导出可实现的速率区域和外边界的半双工协议与多个解码和转发中继,并比较这些相同的协议与放大和转发中继在加性高斯白噪声信道。我们考虑了三种新的半双工协议:具有m个中继的(m,2)2阶段协议、具有m个中继的(m,3)3阶段协议和一般的(m,t)多跳多中继(MHMR)协议,其中m是中继的总数,3 <t< m+3是协议中的时间阶段数。(m,2)和(m,3)协议扩展了先前的用于单个m=1中继的双向中继协议,而新的(m,t)协议有效地将多跳路由与消息级网络编码相结合。最后,我们提供了一个全面的治疗MHMR协议的解码和转发中继和放大和转发中继在高斯噪声中,获得各自的可实现的速率区域,外边界和相对性能在不同的SNR和中继几何,包括分析比较协议在低和高SNR。

英文摘要:

In a bi-directional relay channel, two nodes wish to exchange independent messages over a shared wireless half-duplex channel with the help of relays. Recent work has considered information theoretic limits of the bi-directional relay channel with a single relay. In this work we consider bi-directional relaying with multiple relays. We derive achievable rate regions and outer bounds for half-duplex protocols with multiple decode and forward relays and compare these to the same protocols with amplify and forward relays in an additive white Gaussian noise channel. We consider three novel classes of half-duplex protocols: the (m,2) 2 phase protocol with m relays, the (m,3) 3 phase protocol with m relays, and general (m, t) Multiple Hops and Multiple Relays (MHMR) protocols, where m is the total number of relays and 3<t< m+3 is the number of temporal phases in the protocol. The (m,2) and (m,3) protocols extend previous bi-directional relaying protocols for a single m=1 relay, while the new (m,t) protocol efficiently combines multi-hop routing with message-level network coding. Finally, we provide a comprehensive treatment of the MHMR protocols with decode and forward relaying and amplify and forward relaying in the Gaussian noise, obtaining their respective achievable rate regions, outer bounds and relative performance under different SNRs and relay geometries, including an analytical comparison on the protocols at low and high SNR.

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