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Performance Analysis of Precoded MIMO MMSE Receivers in Transmit-Correlated Rayleigh Channels

송신 상관된 레일리 채널에서 프리코더를 갖는 MIMO MMSE 수신기의 성능 분석

  • 김원섭 (국방과학연구소 정밀유도기술센터)
  • Received : 2013.01.09
  • Accepted : 2013.07.09
  • Published : 2013.07.31

Abstract

In this paper, the multiple-input multiple-output (MIMO) system with a precoder is considered in the transmit-correlated Rayleigh channels. We specifically target the MIMO system employing the minimum mean square error receivers. Based on random matrix theory, we first present a direct and generalized formulation for deriving a probability density function (PDF) of the signal-to-interference-plus-noise ratio (SINR). Then, we derive the accurate closed-form SINR PDFs for a small number of transmit and receive antennas. Based on the SINR PDFs, tight closed-form approximations of the symbol error rate (SER) are derived. Our analysis suggests that the SER approximations can be used to accurately estimate the error probabilities or as a useful tool for the system design.

이 논문에서는 송신 상관된 레일리 페이딩 채널에서 프리코더를 갖는 다중 입출력 안테나 시스템이 고려된다. 특히 최소평균제곱오차 수신기를 적용한 다중 입출력 안테나 시스템을 대상으로 한다. 임의 행렬 이론에 기초하여, 신호 대 간섭 및 잡음비의 확률 밀도 함수를 유도하기 위한 정확하고 일반화된 식을 유도한다. 그리하여 적은 수의 송신 및 수신 안테나에 대하여 정확한 폐쇄형 신호 대 간섭 및 잡음비의 확률 밀도 함수 식을 제안한다. 또한, 신호 대 간섭 및 잡음비의 확률 밀도 함수 식에 기초하여 폐쇄형 심볼 오류율 근사식을 제안한다. 제안하는 심볼오류율 분석결과는 오류 확률을 정확하게 예측하거나, 시스템 디자인을 위한 유용한 툴로서 사용될 수 있을 것으로 예상된다.

Keywords

References

  1. D. Kim, H.-M. Kim, "Adaptive MIMO transmission method based on the optimal combination of antenna diversity with spatial multiplexing," J. KICS, vol. 32, no. 5, pp. 394-401, May 2007.
  2. N. Kim, Y. Lee, and H. Park, "Performance analysis of MIMO system with linear MMSE receiver," IEEE Trans. Wireless Commun., vol. 7, no. 11, pp. 4474-4478, Nov. 2008. https://doi.org/10.1109/T-WC.2008.070785
  3. H. Sampath, P. Stoica, and A. Paulraj, "Generalized linear precoder and decoder design for MIMO channels using the weighted MMSE criterion," IEEE Trans. Commun., vol. 49, no. 12, pp. 2198-2206, Dec. 2001. https://doi.org/10.1109/26.974266
  4. A. Scaglione, P. Stoica, S. Barbarossa, G. B. Giannakis, and H. Sampath, "Optimal design for space-time linear precoders and decoders," IEEE Trans. Signal Process., vol. 50, no. 5, pp. 1051-1064, May 2002. https://doi.org/10.1109/78.995062
  5. H. R. Bahrami and T. Le-Ngoc, "Precoder design based on correlation matrices for MIMO systems," IEEE Trans. Wireless Commun., vol. 5, no. 12, pp. 3579-3587, Dec. 2006. https://doi.org/10.1109/TWC.2006.256980
  6. L. Hong and A. G. Armada, "Bit error rate performance of MIMO MMSE receivers in correlated Rayleigh flat-fading channels," IEEE Trans. Veh. Technol., vol. 60, no. 1, pp. 313-317, Jan. 2011. https://doi.org/10.1109/TVT.2010.2090369
  7. A. M. Tulino, A. Lozano, and S. Verdu, "Capacity-achieving input covariance for single-user multi-antenna channels," IEEE Trans. Wireless Commun., vol. 5, no. 3, pp. 662-671, Mar. 2006. https://doi.org/10.1109/TWC.2006.1611096
  8. M. Kiessling and J. Speidel, "Analytical performance of MIMO MMSE receivers in correlated Rayleigh fading environments," in Proc. IEEE VTC 2003, pp. 1738-1742, Orlando, U.S.A., Oct. 2003.
  9. P. Li, D. Paul, R. Narasimhan, and J. Cioffi, "On the distribution of SINR for the MMSE MIMO receiver and performance analysis," IEEE Trans. Inf. Theory, vol. 52, no. 1, pp. 271-286, Jan. 2006. https://doi.org/10.1109/TIT.2005.860466
  10. M. O. Hasna and M.-S. Alouini, "Optimal power allocation for relayed transmissions over Rayleigh-fading channels," IEEE Trans. Wireless Commun., vol. 3, no. 6, pp. 1999-2004, Nov. 2004. https://doi.org/10.1109/TWC.2004.833447
  11. E. G. Larson and Y. Cao, "Collaborative transmit diversity with adaptive radio resource and power allocation," IEEE Commun. Lett., vol. 9, no. 6, pp. 511-513, June 2005. https://doi.org/10.1109/LCOMM.2005.1437354
  12. Y.-C. Liang, G. Pan, and Z. D. Bai, "Asymptotic performance of MMSE receivers for large systems using random matrix theory," IEEE Trans. Inf. Theory, vol. 53, no. 11, pp. 4173-4190, Nov. 2007. https://doi.org/10.1109/TIT.2007.907497
  13. M. Chiani, M. Z. Win, and A. Zanella, "On the capacity of spatially correlated MIMO Rayleigh-fading channels," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2363-2371, Oct. 2003. https://doi.org/10.1109/TIT.2003.817437
  14. A. K. Gupta and D. K. Nagar, Matrix Variate Distributions, Chapman and Hall/CRC, 2000.
  15. L. G. Ordonez, D. P. Palomar, and J. R. Fonollosa, "Ordered eigenvalues of a general class of Hermitian random matrices with application to the performance analysis of MIMO systems," IEEE Trans. Signal Process., vol. 57, no. 2, pp. 672-689, Feb. 2009. https://doi.org/10.1109/TSP.2008.2007602