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Approaching Gaussian relay network capacity in the high SNR regime: End-to-end lattice codes

Author(s)
Xu, Yun; Yeh, Edmund; Medard, Muriel
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Abstract
We present a natural and low-complexity technique for achieving the capacity of the Gaussian relay network in the high SNR regime. Specifically, we propose the use of end-to-end structured lattice codes with the amplify-and-forward strategy, where the source uses a nested lattice code to encode the messages and the destination decodes the messages by lattice decoding. All intermediate relays simply amplify and forward the received signals over the network to the destination. We show that the end-to-end lattice-coded amplify-and-forward scheme approaches the capacity of the layered Gaussian relay network in the high SNR regime. Next, we extend our scheme to non-layered Gaussian relay networks under the amplify-and-forward scheme, which can be viewed as a Gaussian intersymbol interference (ISI) channel. Compared with other schemes, our approach is significantly simpler and requires only the end-to-end design of the lattice precoding and decoding. It requires little knowledge of the network topology or the individual channel gains.
Date issued
2014-04
URI
http://hdl.handle.net/1721.1/100947
Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Journal
Proceedings of the 2014 IEEE Wireless Communications and Networking Conference (WCNC)
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
Xu, Yun, Edmund Yeh, and Muriel Medard. “Approaching Gaussian Relay Network Capacity in the High SNR Regime: End-to-End Lattice Codes.” 2014 IEEE Wireless Communications and Networking Conference (WCNC) (April 2014).
Version: Author's final manuscript
ISBN
978-1-4799-3083-8

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