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http://dx.doi.org/10.1109/JCN.2016.000098

SER Analysis of Multi-Way Relay Networks with M-QAM Modulation in the Presence of Imperfect Channel Estimation  

Islam, Shama N. (The authors are with the Research School of Engineering, College of Engineering and Computer Science, The Australian National University)
Durrani, Salman (The authors are with the Research School of Engineering, College of Engineering and Computer Science, The Australian National University)
Sadeghi, Parastoo (The authors are with the Research School of Engineering, College of Engineering and Computer Science, The Australian National University)
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Abstract
Multi-way relay networks (MWRNs) allow multiple users to exchange information with each other through a single relay terminal. MWRNs are often incorporated with capacity achieving lattice codes to enable the benefits of high-rate signal constellations to be extracted. In this paper, we analytically characterize the symbol error rate (SER) performance of a functional decode and forward (FDF) MWRN in the presence of channel estimation errors. Considering M-ary quadrature amplitude modulation (QAM) with square constellations as an important special case of lattice codes, we obtain asymptotic expressions for the average SER for a user in FDF MWRN. The accuracy of the analysis at high signal-to-noise ratio is validated by comparison with the simulation results. The analysis shows that when a user decodes other users with better channel conditions than itself, the decoding user experiences better error performance. The analytical results allow system designers to accurately assess the non-trivial impact of channel estimation errors and the users' channel conditions on the SER performance of a FDF MWRN with M-QAM modulation.
Keywords
Channel estimation; functional decode and forward (FDF); lattice codes; multi-way relay network (MWRN); symbol error rate (SER);
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