다중셀 환경에서 MIMO-MC-CDMA시스템의 점근적 성능

Asymptotic Performance of MIMO-MC-CDMA Systems in Multi-cell Environments

  • 김경연 (연세대학교 전기전자공학부) ;
  • 함재상 (연세대학교 전기전자공학부) ;
  • 이충용 (연세대학교 전기전자공학부)
  • Kim, Kyeong-Yeon (School of Electrical & Electronic Engineering, Yonsei University) ;
  • Ham, Jae-Sang (School of Electrical & Electronic Engineering, Yonsei University) ;
  • Lee, Chung-Yong (School of Electrical & Electronic Engineering, Yonsei University)
  • 발행 : 2007.07.25

초록

본 논문은 다중 셀 환경에서 MMSE 수신기를 가지는 MIMO MC-CDMA시스템의 출력 SINR을 점근적으로 분석한다. 단일 셀에서의 점근적 성능 분석이 다중셀 환경으로 확장 적용된다. 점근적 분석을 위한 Haar 유니터리 코드의 사용은 다른 셀로부터의 간섭성분이 대각성분들의 값이 다른 대각행렬로 나타나게 한다. 본 논문에서는 다른 셀의 코드 간섭 성분을 mean square측면에서 간섭의 전력으로 수렴함을 보이고, 셀간 간섭 성분이 주어질 때 점근적으로 특정 SINR값을 찾는다. 다중 셀에서의 거리에 따른 느린 페이딩을 로그노말 분포를 가정하여 구한 이론적인 비트오차 확률과 실험을 비교하여 비슷함을 보이고, 점근적 성능에 의한 데이터 전송 수율의 셀 반경에 따른 성능을 보인다.

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 in multi-cell environments. A previous work in single cell environments is extended into analysis in multi-cell environments. The use of Haar unitary code matrix for asymptotic analysis causes other cell interferences expressed with a diagonal matrix haying different diagonal values. This paper shows that other cell interferences converge to an identity matrix whose gain is expressed by only other cell interference power in mean square sense and finds asymptotic deterministic SINRs for a given other cell interference. Under the assumption that the sum of lognormal fading components is distributed by other lognormal function, we show the comparison between theoretical performances and simulations from the view point of bit error rate and present average throughput performance according to the cell radius.

키워드

참고문헌

  1. S. Hara and R. Prasad, 'Overview of Multicarrier CDMA,' IEEE Communication Magazine, Vol. 35, No. 12, pp. 126-133, Dec. 1997
  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
  4. W. Lee, B. G. Lee and K. B. Lee, and S. Bahk, 'An OFDMA-Based Next-Generation Wireless Downlink System Design with Hybrid Multiple Access and Frequency Grouping Techniques,' Journal of Communicatios and Networks, Vol. 7, No. 2, pp. 115-125, June 2005 https://doi.org/10.1109/JCN.2005.6387859
  5. K. Mori, H. Kobayashi 'Frequency Band and Time Slot Selection Scheme for Downlink Packet Communications in Cellular Band Division MC-CDM Systems,' IEICE Trans. on Communications, Vol. E87-B, No. 5, pp. 1114-1122, May. 2004
  6. H. Son and S. Lee, 'Forward-Link Capacity Analysis for MC-CDMA,' IEICE Trans. on Communications, Vol. E88-B, No. 2, pp. 1-3, Feb. 2005 https://doi.org/10.1093/ietcom/E88-B.1.1
  7. Kyeongyeon Kim, Seijoon Shim, Jaesang Ham and Chungyong Lee, 'Asymptotic Analysis of Downlink MIMO Multicarrier CDMA systems with a Minimum Mean Square Error Receiver,' Proc. IEEE VT Conf., May 2006
  8. 김경연, 심세준, 함재상, 이충용, 'MIMO MC-CDMA 수신기 출력의 접근적 양상' 대한전자공학회 논문지, 제44권 TC편 제4호, 10-16쪽, 2007년 4월
  9. A. M. Tulino and S. Verdu, Random Matrix Theory and Wireless Communications The essence of knowledge, Fundamental and Trends in Communications and Information Theory, Vol. 1, No. 1, 2004
  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. A. Safak, 'Statistical Analysis of the Power Sum of Multiple Correlated Log-Normal Components,' IEEE Trans. on Vehicular Technology, Vol. 42, No. 1, pp. 58 - 61, Feb. 1993 https://doi.org/10.1109/25.192387
  12. N. C. Beaulieu and Q. Xie, 'An Optimal Lognormal Approsimation to Lognormal Sum Distributions,' IEEE Trans. on Vehicular Technology, Vol. 53, No. 2, pp.479-489, Mar. 2004 https://doi.org/10.1109/TVT.2004.823494
  13. 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
  14. S. Verdu and S. Shamai, 'Spectral Efficiency of CDMA with Random Spreading,' IEEE Trans. on Information Theory, Vol. 45, No. 2, pp. 622-640, Mar. 1999 https://doi.org/10.1109/18.749007