XORs in the air: practical wireless network coding
Proceedings of the 2006 conference on Applications, technologies, architectures, and protocols for computer communications
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ICDCSW '07 Proceedings of the 27th International Conference on Distributed Computing Systems Workshops
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Proceedings of the 2007 conference on Applications, technologies, architectures, and protocols for computer communications
IEEE Transactions on Information Theory
Diversity and multiplexing: a fundamental tradeoff in multiple-antenna channels
IEEE Transactions on Information Theory
Distributed space-time-coded protocols for exploiting cooperative diversity in wireless networks
IEEE Transactions on Information Theory
Cooperative diversity in wireless networks: Efficient protocols and outage behavior
IEEE Transactions on Information Theory
On the achievable diversity-multiplexing tradeoff in half-duplex cooperative channels
IEEE Transactions on Information Theory
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IEEE Journal on Selected Areas in Communications
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This paper addresses the analysis of diversity-multiplexing tradeoff (DMT) for a cooperative system using network coding, called the cooperative network coding (CNC) system, which combines a decode-and-forward (DF) relay with the information mixing and broadcast techniques. The outage probability in the high signal-to-noise ratio (SNR) regime is also provided in the closed-form. Our scheme has two users' nodes and one relay node. All nodes are half duplex, i.e., they cannot transmit and receive data at the same time. The two users can communicate to each other directly as well as via the relay node indirectly. Our results show that network coding can help the relay nodes provide cooperative multiplexing gain as well as diversity gain. Compared with the pure DF protocol of which maximal diversity and multiplexing gain are 1 and 1/2, respectively, the maximal diversity and multiplexing gain of the CNC protocol are 2 and 2/3, respectively. The CNC protocol has even better DMT performance than an improved version of DF, selection decode-and-forward (SDF), of which maximal diversity and multiplexing gain are 2 and 1/2, respectively. The impact of wireless lossy channel on performance gains of the network coding is analyzed and can be quantitatively evaluated in the presented DMT curve, which gives us more insight than the capacity analysis does. This is because the capacity analysis only tells us about the maximal error-free transmission rate, while the DMT curve gives us the optimal tradeoff between the error rate and data rate.