대한전자공학회논문지TC (Journal of the Institute of Electronics Engineers of Korea TC)

대한전자공학회 (The Institute of Electronics and Information Engineers)
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MIMO MC-CDMA시스템에서 MMSE 수신기 출력의 점근적 양상

Asymptotic Behavior of the output SINR at MMSE receivers in a MIMO MC-CDMA system

  • 발행 : 2007.04.25
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⟨ 이전 논문 다음 논문 ⟩

초록

본 논문은 MMSE 수신기를 가지는 MIMO MC-CDMA시스템에서의 출력 SINR을 분석한다. 단일 안테나에서의 분석을 위한 가정들이 다중안테나에 바로 확장 적용되지 않기 때문에 단일 안테나를 가지는 MC-CDMA시스템에 대한 기존의 성능 분석은 MIMO MC-CDMA 시스템에 바로 적용하지 못한다. 그러므로 본 논문에서는 Marcenko Pastur law와 확장된 Haar 유니터리 행렬의 특성을 이용하여 MIMO system에 대한 성능 분석을 시도한다. 분석을 통해 확산 코드 길이가 무한대로 갈 때 출력 SINR이 특정값으로 접근함을 보이고 그 값을 freeness가정을 통해 구하여 비트 오차확률을 구하고 실험과 비교한다.

This paper analyzes the output signal-to-interference-plus-noise ratio (SINR) for a multiple-input-multiple-output (MIMO) multicarrier code division multiple access (MC-CDMA) system with minium mean square error receivers. A previous work of a single antenna MC-CDMA system cannot directly applied to a MIMO MC-CDMA system because some assumptions for single antenna do not match the case of multiple antenna. Therefore this paper expands the concept of freeness to MIMO system by using the Marcenko Pastur law. The analysis shows that the output SINR asymptotically converges to a deterministic value and finds the value on the assumption of freeness. From the analysis, it is easy to calculate bit error rate and the calculation is verified by simulations.

키워드

참고문헌

  1. S. Hara and R. Prasad, 'Overview of Multicarrier CDMA,' IEEE CommunicationMagazine, Vol. 35, No. 12, pp. 126-133, Dec. 1997 https://doi.org/10.1109/35.642841
  2. D. N. Kalofonos, M. Stojanovic, J. G. Proakis, 'Performance of Adaptive MC-CDMA Detectors in Rapidly Fading Rayleigh Channels,' IEEE Trans. on Wireless Communication, Vol. 2. No. 2. pp. 229-239, Mar. 2003 https://doi.org/10.1109/TWC.2003.808960
  3. H. Atarashi, S. Abeta, M. Sawahashi, 'Broadband packet wireless access appropriate for highspeed and high-capacity throughput,' Proc. Of IEEE VTC 2001 Spring, Vol.1, pp. 566-570, May 2001 https://doi.org/10.1109/VETECS.2001.944906
  4. A. Paulraj, R. Nabar and D. Gore, Introduction to space-time wireless commnunications, chapter 8, Cambridge university press, 2003
  5. M. Juntti, M. Vehkapera, J. Leinonen, Z. Li D. Tujkovic, S. Tsumura and S. Hara, 'MIMO MC-CDMA Communications for Future Cellular Systems,' IEEE Commnications Magazine, Vol. 43, No.2, pp. 118-124, Feb., 2005 https://doi.org/10.1109/MCOM.2005.1391510
  6. S. Lei, X. Peng and F. P.S.Chin, 'V-BLAST Recievers for Downlink MC-CDMA Systems,' Proc. of IEEE VTC 2003 fall, Vol. 2, pp. 866-870, Oct. 2003
  7. K. Kim, J. Ham, C. Lee and D. Hong, 'Performance Analysis of a Downlink MIMOMC-CDMA system with Turbo Coding and Channel Interleaving,' Proc. of IEEE VTC2004fall, Vol. 2, pp. 1439-1442, Sept. 2004
  8. J. Ku, K. Kim, S. Shim, M. Kim and C. Lee, 'An MMSE Nulling-Partial PIC Receiver for Multiuser Downlink MIMO MC-CDMA Systems,' IEICE Trans. on Communications,Vol. E88-B, No. 4, pp. 1725-1729, Apr. 2005 https://doi.org/10.1093/ietcom/e88-b.4.1725
  9. M. Debbah, W. Hachem, P. Loubaton and M. de Courville, 'MMSE Analysis of Certain Large Isometric Random Precoded Systems,' IEEE Trans. on Information Theory, Vol. 49, No. 5, pp. 1293-1311, May 2003 https://doi.org/10.1109/TIT.2003.810641
  10. F. Hiai and D. Petz, The semicircle law, free random variables and entropy, American Mathematical Society, Mathematical Surveys and Monographs, Vol. 77, 2000
  11. J. M. Chaufray, W. Hachem and P. Loubaton, 'Asymptotic Analysis of Optimum andSuboptimum CDMA Downlink MMSE Receivers,' IEEE Trans. on Information Theory,Vol. 50, No.11, pp 2620-2638, Nov. 2004 https://doi.org/10.1109/TIT.2004.836929
  12. Z. Bai and J. W. Silverstein, 'No eigenvalues outside the support of the limiting spectral distribution of large dimensional sample covariance matrices,' Ann. Probab, Vol. 26, No. 1, pp 316-345, 1998 https://doi.org/10.1214/aop/1022855421
  13. A. M. Tulino and S. Verdu, Random Matrix Theory and Wireless Communications, Theessence of knowledge, Fundamental and Trends in Communications and Information Theory, Vol. 1, No. 1, 2004
  14. I. S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series, and Products, 6th ed., Academic Press, pp. 91-101, 2000
  15. H. Poor and S. Verdu, 'Probability of error in MMSE multiuser detection,' IEEE Trans. On Information Theory, Vol. 43, No. 3, pp. 858-871, May 1997 https://doi.org/10.1109/18.568697