On the optimal pre-coding of complex field network coding with Mpsk modulation

Complex field network coding (CFNC) enables a one-to-one mapping between the source signal vectors and the received signals. CFNC outperforms other physical layer network coding methods which decode the received signal as a combination of source signals. However, the linear constellation pre-coding (LCP) scheme adopted by CFNC to compute complex coefficients is developed for MIMO system, which is not sufficient to achieve the optimal performance of CFNC. This paper considers the encoding process of CFNC as constellation rotations at sources and proposes an optimal rotation method to maximize the minimum Euclidean distance between equivalent constellation points at the receiver. Excellent performance gains are proved by both numerical evaluations and simulation results.

[1]  P. Vijay Kumar,et al.  Explicit space-time codes that achieve the diversity-multiplexing gain tradeoff , 2005, Proceedings. International Symposium on Information Theory, 2005. ISIT 2005..

[2]  Rudolf Ahlswede,et al.  Network information flow , 2000, IEEE Trans. Inf. Theory.

[3]  Georgios B. Giannakis,et al.  Complex Field Network Coding for Multiuser Cooperative Communications , 2008, IEEE Journal on Selected Areas in Communications.

[4]  Fumiyuki Adachi,et al.  Performance of physical layer network coding in a frequency-selective fading channel , 2009, 2009 IEEE 20th International Symposium on Personal, Indoor and Mobile Radio Communications.

[5]  Soung Chang Liew,et al.  Hot topic: physical-layer network coding , 2006, MobiCom '06.

[6]  Il-Min Kim,et al.  Error Performance Analysis of BPSK Modulation in Physical-Layer Network-Coded Bidirectional Relay Networks , 2010, IEEE Transactions on Communications.

[7]  Michael Gastpar,et al.  Compute-and-Forward: Harnessing Interference Through Structured Codes , 2009, IEEE Transactions on Information Theory.

[8]  Georgios B. Giannakis,et al.  Space-time diversity systems based on linear constellation precoding , 2003, IEEE Trans. Wirel. Commun..

[9]  Kanghee Lee,et al.  Precoder Design for Amplify and Forward Relaying With Complex Field Network Coding , 2011, IEEE Transactions on Signal Processing.

[10]  Michael Gastpar,et al.  Reliable Physical Layer Network Coding , 2011, Proceedings of the IEEE.

[11]  Branka Vucetic,et al.  Practical physical layer network coding for two-way relay channels: performance analysis and comparison , 2010, IEEE Transactions on Wireless Communications.