The Journal of Korean Institute of Communications and Information Sciences (한국통신학회논문지)

The Korean Institute of Commucations and Information Sciences (한국통신학회)
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Exact BER Analysis of Physical Layer Network Coding for Two-Way Relay Channels

물리 계층 네트워크 코딩을 이용한 양방향 중계 채널에서의 정확한 BER 분석

  • 박문서 (고려대학교 전기전자전파공학부) ;
  • 최일환 (삼성전자 네트워크 사업부) ;
  • 안민기 (한국과학기술원 전기 및 전자공학과) ;
  • 이인규 (한국과학기술원 전기 및 전자공학과)
  • Received : 2011.09.03
  • Accepted : 2012.04.26
  • Published : 2012.05.30
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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.

물리 계층 네트워크 코딩은 양방향 중계 채널에서의 Zhang 그룹의 논문으로 처음 소개 되었다. 물리 계층 네트워크 코딩을 이용하여, 세 개의 시간대 대신에 두 개의 시간대내로 양방향 통신을 완벽히 할 수 있다. 최근 감쇄 채널에서 물리 계층 네트워크 코딩의 상계와 하계가 모두 분석되었다. 이 논문에서는 감쇄 채널에서 양방향 중계 채널의 물리 계층 네트워크 코딩의 정확한 bit 오류 비율을 도출 하였다. bit 오류 비율을 계산하기 위해, 판단 영역을 최소 인접 법칙과 Craig's 극좌표 방식을 적용한 몇 개의 쐐기 부분의 분할을 통해 결정 하였다.

Keywords

References

  1. 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. https://doi.org/10.1109/TWC.2010.102210.091021
  2. 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.
  3. S. Zhang, S. Liew and P. Lam, "Hot Topic: Physical-Layer Network Coding," in Proc. of ACM MOBICOM '06, Los Angeles, CA, Sep. 2006.
  4. 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.
  5. 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.
  6. 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. https://doi.org/10.1109/TWC.2009.090037
  7. 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. https://doi.org/10.1109/TCOMM.2010.082010.090256
  8. 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.
  9. 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. https://doi.org/10.1109/JSAC.2009.090617