Linear Physical-layer Network Coding in Galois Field for Rayleigh fading 2-Way Relay Channels
Abstract
In this paper, we propose a novel linear physicallayer network coding (LPNC) for Rayleigh fading 2-way relay channels (2-WRC). Rather than the simple modulo-2 (bit-XOR) operation, the relay directly maps the superimposed signal of the two users into the linear network coded combination in GF(2^2) by multiplying the user data by properly selected generator matrix. We derive the constellation constrained capacities for LPNC and 5QAM denoise-and forward (5QAM-DNF) [2] and further explicitly characterize the capacity difference between LPNC and 5QAM-DNF. Based on our analysis and simulation, we highlight that without employing the irregular 5QAM mapping and sacrificing the spectral efficiency, our LPNC in GF(2^2) is superior to 5QAM-DNF scheme in low SNR regime while they achieve equal performance in the the moderate-to-high SNR regime.
Keywords
Cite
@article{arxiv.1210.5660,
title = {Linear Physical-layer Network Coding in Galois Field for Rayleigh fading 2-Way Relay Channels},
author = {Dong Fang and Alister Burr},
journal= {arXiv preprint arXiv:1210.5660},
year = {2012}
}
Comments
There is a a crucial error for the conditons of generating linear combination. The corresponding simulations are thus incorrect. The draft should be withdrawn