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http://dx.doi.org/10.7840/KICS.2012.37A.5.317

Exact BER Analysis of Physical Layer Network Coding for Two-Way Relay Channels  

Park, Moon-Seo (고려대학교 전기전자전파공학부)
Choi, Il-Hwan (삼성전자 네트워크 사업부)
Ahn, Min-Ki (한국과학기술원 전기 및 전자공학과)
Lee, In-Kyu (한국과학기술원 전기 및 전자공학과)
Abstract
Physical layer network coding (PNC) was first introduce by Zhang et al. for two-way relay channels (TWRCs). By utilizing the PNC, we can complete two-way communications within two time slots, instead of three time slots required in non-PNC systems. Recently, the upper and lower bounds for a bit error rate (BER) of PNC have been analyzed for fading channels. In this paper, we derive an exact BER of the PNC for the TWRC over fading channels. We determine decision regions based on the nearest neighbor rule and partition them into several wedge areas to apply the Craig's polar coordinate form for computing the BER. We confirm that our derived analysis accurately matches with the simulation results.
Keywords
Physical Network Coding(PNC); Bit Error Rate(BER); Relay;
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1 A. Y.-C. Peng, S. Yousefi and I.-M. Kim, "On Error Analysis and Distributed Phase Steering for Wireless Network Coding over Fading Channels," IEEE Trans. on Wireless Comm., vol. 8, pp. 5639-5649, Nov. 2009.   DOI   ScienceOn
2 M. Ju and I.-M. Kim, "Error Performance Analysis of BPSK Modulation in Physical-Layer Network-Coded Bidirectional Relay Networks," IEEE Trans. on Comm., vol. 58, pp.2770-2775, Oct. 2010.   DOI   ScienceOn
3 J. W. Craig, "A New, Simple and Exact Result for Calculating the Probability of Error for Two-Dimensional Signal Constellations," in Proc. IEEE Milcom '91, pp. 571-575, McLean, VA, Nov. 1991.
4 T. Koike-Akino, P. Popovski and V. Tarokh, "Optimized Constellations for Two-Way Wireless Relaying with Physical Network Coding," IEEE Journal on Selected Areas in Comm., vol. 27, pp. 773-787, June 2009.   DOI   ScienceOn
5 K.-J. Lee, H. Sung, E. Park, and I. Lee, "Joint Optimization for One and Two-Way MIMO AF Multiple-Relay Systems," IEEE Trans. on Wireless Comms, vol. 9, pp. 3671-3681, Dec. 2010.   DOI   ScienceOn
6 R. F.Wyrembelski, T. J. Oechtering and H. Boche, "Decode-and-forward strategies for bidirectional relaying," in Proc. of IEEE-PIMRC, Cannes, France, September 2008.
7 S. Zhang, S. Liew and P. Lam, "Hot Topic: Physical-Layer Network Coding," in Proc. of ACM MOBICOM '06, Los Angeles, CA, Sep. 2006.
8 K. Lu, S. Fu, Y. Qian and H.-H. Chen, "SER Performance Analysis for Physical Layer Network Coding over AWGN Channels," in Proc. of IEEE GLOBECOM 2009, Honolulu, HI, Nov. 2009.
9 E. C. Y. Peh, Y.-C. Liang, and Y. L. Guan, "Power control for physical layer network coding in fading environments," in Proc. of IEEE PIMRC, Cannes, France, Sep. 2008.