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

한국통신학회 (The Korean Institute of Commucations and Information Sciences)
권호 표지

직교 시공간 블록 부호를 적용한 듀얼 홉 MIMO Decouple-and-Forward 릴레이에 대한 정확한 비트 에러율 분석

An Exact BER Analysis of Dual-Hop MIMO Decouple-and-Forward Relaying with Orthogonal Space-Time Block Codes

  • 이재훈 (한양대학교 전자전기제어계측공학과 이동통신망연구실) ;
  • 김동우 (한양대학교 전자컴퓨터공학부)
  • 발행 : 2008.12.31
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⟨ 이전 논문 다음 논문 ⟩

초록

본 논문에서는 듀얼-홉 MIMO(Miltiple-Input Miltiple-Output) DCF(decouple-and-forward) 릴레이 시스템의 성능 분석을 위한 확률 밀도 함수를 유도한다. 확률 밀도 함수를 사용하여 정확한 BER 분석을 할 수 있다. 분석할 수 있는 안테나 조합은 (1,8,1), (8,1,8), (2,4,2), (4,2,4)이며 괄호 안의 숫자는 송신국의 송신 안테나, 릴레이 안테나, 수신국의 수신 안테나 개수이다. M-ary PSK일 때 MIMO DCF 릴레이 시스템의 모의 실험을 통해 얻은 평균 BER과 확률 밀도 함수를 통해 유도한 BER식에 의한 평균 BER이 서로 일치함을 확인할 수 있다. DCF 릴레이 시스템을 썼을 때 공간 다이버시티를 얻을 수 있다.

In this paper, we derive the probability density function (PDF) of end-to-end signal-to-noise ratio (SNR) for t he dual-hop MIMO (Multiple-Input Multiple-Output) DCF (Decouple-and-Forward) system. We also provide the end-to-end bit error ratio (BER) with M-ary PSK constellations for four antenna combinations. These are (1,8,1), (8,1,8), (2,4,2), and (4,2,4). Each number in the parentheses is the number of the transmit antenna at the source, the transmit and receive antenna at the relay and the receive antenna at the destination, respectively. We show t hat the end-to-end BER expression with M-ary PSK constellations makes an exact match with numerical results. We also show that MIMO DCF relay system achieves spatial diversity.

키워드

참고문헌

  1. H. Jafarkhani, Space-time coding, Cambridge Univ. Press, 2005
  2. 김영일, 신정채, 조호신, 안지환, 황승구, 'IEEE 802.16 MMR 동향,' 한국전자통신연구원 전자통신동향분석, 제21권 3호, pp.91-99, Jun. 2006
  3. 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
  4. M. O. Hasna and M.-S. Alouini, 'A performance study of dual-hop transmissions with fixed gain relays,' IEEE Trans. Wireless Commun., Vol.3, No.6, pp.1963-1968, Nov. 2004 https://doi.org/10.1109/TWC.2004.837470
  5. 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
  6. S. Alamouti, 'A simple transmit diversity technique for wireless communications,' IEEE J. Select. Areas Commun., Vol.16, No.8, pp. 1451-1458, Aug. 1998 https://doi.org/10.1109/49.730453
  7. V. Tarokh, H. Jafarkhani, and A. R. Calderbank, 'Space-time block codes from orthogonal designs,' IEEE Trans. Inform. Theory, Vol.45, No.5, pp.1456-1467, Jul. 1999 https://doi.org/10.1109/18.771146
  8. I.-H. Lee and D. Kim, 'End-to-end BER analysis for dual-hop OSTBC transmissions over Rayleigh fading channels,' IEEE Trans. Commum., Vol.56, No.3, pp.347-351, Mar. 2008 https://doi.org/10.1109/TCOMM.2008.050630
  9. I.-H. Lee and D. Kim, 'Coverage extension and power allocation in dual-hop space-time transmission with multiple antennas in each node,' IEEE Trans. Veh. Technol.., Vol.56, No.6, pp.3524-3532, Nov. 2007 https://doi.org/10.1109/TVT.2007.901901
  10. I.-H. Lee and D. Kim, 'Decouple-and-forward relaying for dual-hop alamouti transmissions,' IEEE Commun. Lett., Vol.12, No.2, pp.97-99, Feb. 2008 https://doi.org/10.1109/LCOMM.2008.071573
  11. O. Tirkkonen and A. Hottinen, 'Square matrix embeddable space-time block codes for complex signal constellations,' IEEE Trans. Inform. Theory, Vol.48, No.2, pp.384-395, Feb. 2002 https://doi.org/10.1109/18.978740
  12. X. Li, T. Luo, G. Yue, and C. Yin, 'A squaring method to simplify the decoding of orthogonal space-time block codes,' IEEE Trans. Commum., Vol.49, No.10, pp.1700-1703, Oct. 2001 https://doi.org/10.1109/26.957388
  13. I. S. Gradshteyn and I.M Ryzhik, Table of Integrals, Series, and Products, 6th ed., Academic Press, 2000
  14. G. E. Roberts and H. Kaufman, Table of Laplace Transforms, Saunders, 1966
  15. J. G. Proakis, Digital Communications, McGraw-Hill, 1995
  16. I.-M. Kim, 'Exact BER analysis of OSTBCs in spatially correlated MIMO channels,' IEEE Trans. Commum., Vol.54, No.8, pp.1365-1373, Aug. 2006 https://doi.org/10.1109/TCOMM.2006.878823