Average SER Performance Analysis for Opportunistic Amplify-and-Forward Relay Systems

OAF 시스템의 정확한 심볼 오류 성능 분석

  • Received : 2011.12.22
  • Accepted : 2012.04.17
  • Published : 2012.04.25

Abstract

This paper presents a method for obtaining an exact average symbol error rate (ASER) of M-ary Phase Shift Keying (MPSK) for opportunistic amplify-and-forward (OAF) relay systems over Rayleigh fading channels. This is based on the relay selection probability when a relay is selected as the best one with respect to the received signal-to-noise ratio. We then derive the modified moment generating function (MGF) for OAF relay systems by taking the given relay selection probability into consideration. Based on the modified MGF, we derive the exact ASER which accurately explicates OAF relay system characteristics. Our results confirm that the derived ASER provides a tight upper bound for OAF relay systems.

본 논문에서는 레일리 페이딩 환경에서 OAF (opportunistic amplify-and-forward) 릴레이 전송 기법의 정확한 성능을 제시하는 새로운 분석 기법에 대해서 알아본다. 이를 위해 집합 연산 기반의 선택될 확률을 활용한다. 이를 기반으로 OAF 릴레이 전송기법의 수정된 MGF(modified moment generating function)를 제안한다. 제안된 MGF 를 바탕으로 OAF 릴레이 전송 기법의 특성을 정확하게 표현해주는 M-ary Phase Shift Keying (MPSK) 심볼 오류 확률을 제안한다. 모의 실험 결과를 통해서 제안된 심볼 오류 확률의 정확함을 확인한다.

Keywords

References

  1. M. O. Hasna and M.-S. Alouini, "End-to-End performance of transmission systems with relays over Rayleigh-fading channels," IEEE Trans. Wireless Commun., vol. 2, no. 6, pp. 1126-1131, Nov. 2003. https://doi.org/10.1109/TWC.2003.819030
  2. J. N. Laneman, D. N. C. Tse, and G. W. Wornell, "Cooperative diversity in wireless networks: efficient protocols and outage behavior," IEEE Trans. Inf. Theory, vol. 50, no. 12, pp. 3062-3080, Dec. 2004. https://doi.org/10.1109/TIT.2004.838089
  3. P. A. Anghel and M. Kaveh, "Exact symbol error probability of a cooperative network in a Rayleigh-fading environment," IEEE Trans. Wireless Commun., vol. 3, no. 9, pp. 1416-1421, Sept. 2004.
  4. 고균병, 서정태, "레일리 페이딩 채널에서의 OADF 릴레이 시스템에 대한 새로운 성능분석 기법에 관한 연구," 한국신호처리 시스템학회 논문지, 제12권, 제3호, 188-193쪽, 2011년 7월.
  5. A. Bletsas, A. Khisti, D. P. Reed, and A. Lippman, "A simple cooperative diversity method based on network path selection," IEEE J. Sel. Areas in Commun., vol. 24, no. 3, pp. 659-672, Mar. 2006.
  6. Y. Zhao, R. Adve, and T. J. Lim, "Symbol error rate of selection amplify-and-forward relay systems," IEEE Commun. Lett., vol. 10, no. 11, pp. 757-759, Nov. 2006. https://doi.org/10.1109/LCOMM.2006.060774
  7. B. Maham and A. Hjorungnes, "Performance analysis of amplify-and-forward opportunistic relaying in Rician fading," IEEE Signal Process. Lett., vol. 16, no. 8, pp. 643-646, Aug. 2009.
  8. 고균병, 서정태, "레일리 페이딩 채널에 대한 이중홉 증폭 후 전달 릴레이 시스템의 새로운 분석 기법," 전자공학회논문지, 제12권, TC편, 제3호, 188-193쪽, 2011년 8월.
  9. 고균병, 서정태, 김학원, "레일리 페이딩 채널에서의 OAF 릴레이 시스템에 대한 집합 연산 기반의 분석 기법에 관한 연구," 전기전자학회 논문지, 제 15권, TC편, 제3호, 198-204쪽, 2011년 9월.
  10. S. S. Ikki, and M. H. Ahmed, "Performance Analysis of Adaptive Decode-and-Forward Cooperative Diversity Networks with Best-Relay Selection," IEEE Trans. Commun., vol. 58, no. 1, pp. 68-72, Jan. 2010.
  11. H. Min, S. Lee, K. Kwak, and D. Hong, "Effect of multiple antennas at the source on outage probability for amplify-and-forward relaying systems," IEEE Trans. Wireless Commun., vol. 8, no. 2, pp. 633-637, Feb. 2009. https://doi.org/10.1109/TWC.2009.071332
  12. Marvin K. Simon and Mohamed-Slim Alouini, Digital Communication over Fading Channels. John Wiley & Sons, 2000.
  13. T. Q. Duong and H.-J. Zepernick, "On the performance gain of hybrid decode-amplifyforward cooperative communications," EURASIP Journal on Wireless Communications and Networking, vol. 2009, article ID 479463, 10 pages, 2009.
  14. He Chen, Ju Liu, Lina Zheng, Chao Zhai, and Yong Zhou, "Approximate SEP Analysis for DF Cooperative Networks With Opportunistic Relaying," IEEE Signal Process. Lett., vol. 17, no. 9, pp. 779-782, Sep. 2010. https://doi.org/10.1109/LSP.2010.2055050
  15. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products. Academic Press, San Diego, Calif, USA, 7th edition, 2007.