Joint Physical Layer Coding and Network Coding for Bidirectional Relaying

We consider a communication system where two transmitters wish to exchange information through a central relay. The transmitter and relay nodes exchange data over synchronized, average power constrained additive white Gaussian noise channels with a real input with signal-to-noise ratio (SNR) of snr....

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Bibliographic Details
Published in:IEEE transactions on information theory 2010-11, Vol.56 (11), p.5641-5654
Main Authors: Wilson, Makesh Pravin, Narayanan, Krishna, Pfister, Henry D, Sprintson, Alex
Format: Article
Language:English
Subjects:
Applied sciences
Bi-directional relaying
Bidirectional
Channels
Codes
Coding
Coding, codes
Decoding
Encoding
Exact sciences and technology
Exchange rates
Information systems
Information theory
Information, signal and communications theory
Lattices
minimum angle decoding
nested lattice decoding
Networks
Normal distribution
Radiocommunications
Relay
Relays
Signal and communications theory
Signal to noise ratio
Systems, networks and services of telecommunications
Telecommunications
Telecommunications and information theory
Transmission and modulation (techniques and equipments)
Transmitters
Transmitters. Receivers
Upper bound
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Summary:We consider a communication system where two transmitters wish to exchange information through a central relay. The transmitter and relay nodes exchange data over synchronized, average power constrained additive white Gaussian noise channels with a real input with signal-to-noise ratio (SNR) of snr. An upper bound on the capacity is 1/2 log(1 + snr) bits per transmitter per use of the multiple access phase and broadcast phase of the bidirectional relay channel. We show that, using lattice codes and lattice decoding, we can obtain a rate of 1/2 log(1/2 + snr) bits per transmitter, which is essentially optimal at high SNR. The main idea is to decode the sum of the codewords modulo a lattice at the relay followed by a broadcast phase which performs Slepian-Wolf coding. We also show that if the two transmitters use identical lattices with minimum angle decoding, we can achieve the same rate of 1/2 log(1/2 + snr). The proposed scheme can be thought of as a joint physical-layer network-layer code which outperforms other recently proposed analog network coding schemes.
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2010.2068750