Elements of information theory
Elements of information theory
XORs in the air: practical wireless network coding
Proceedings of the 2006 conference on Applications, technologies, architectures, and protocols for computer communications
Hot topic: physical-layer network coding
Proceedings of the 12th annual international conference on Mobile computing and networking
Embracing wireless interference: analog network coding
Proceedings of the 2007 conference on Applications, technologies, architectures, and protocols for computer communications
Cooperative diversity in wireless networks: Efficient protocols and outage behavior
IEEE Transactions on Information Theory
Spectral efficient protocols for half-duplex fading relay channels
IEEE Journal on Selected Areas in Communications
Optimal relay functionality for SNR maximization in memoryless relay networks
IEEE Journal on Selected Areas in Communications
Channel estimation for two-way relay OFDM networks
EURASIP Journal on Wireless Communications and Networking - Special issue on physical-layer network coding for wireless cooperative networks
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We propose relaying strategies for uncoded two-way relay channels, where two terminals transmit simultaneously to each other with the help of a relay. In particular, we consider a memoryless system, where the signal transmitted by the relay is obtained by applying an instantaneous relay function to the previously received signal. For binary antipodal signaling, a class of so called absolute (abs)-based schemes is proposed in which the processing at the relay is solely based on the absolute value of the received signal. We analyze and optimize the symbol-error performance of existing and new abs-based and non-abs-based strategies under an average power constraint, including abs-based and non-abs-based versions of amplify and forward (AF), detect and forward (DF), and estimate and forward (EF). Additionally, we optimize the relay function via functional analysis such that the average probability of error is minimized at the high signal-to-noise ratio (SNR) regime. The optimized relay function is shown to be a Lambert W function parameterized on the noise power and the transmission energy. The optimized function behaves like abs-AF at low SNR and like abs-DF at high SNR, respectively; EF behaves similarly to the optimized function over the whole SNR range. We find the conditions under which each class of strategies is preferred. Finally, we show that all these results can also be generalized to higher order constellations.