Abstract
In this paper, we propose a very low linear minimum mean square error (LMMSE) channel estimation technique for orthogonal frequency division multiplexing (OFDM) systems. The conventional LMMSE, based on the autocorrelation channel matrix, requires \(O(N_P^3)\) operations (\(N_P\) represents the total number pilot in one OFDM symbol). By exploiting the structure of the channel autocorrelation matrix, we propose a very low complexity LMMSE channel estimator which requires only \(O(N_PlogN_P)\) operations. Simulation results show that the proposed technique yields the same performances as well as the classical LMMSE in terms of bit error rate and mean square error.






Similar content being viewed by others
References
Weinstein, S. B., & Ebert, P. M. (1971). Data transmission by frequency-division multiplexing using the discrete Fourier transform. IEEE Transactions on Communication Technology, 5, 628–634.
van de Beek, J.-J., Edfors, O., Sandell, M., Wilson, S. K., & Borjesson, P. O. (1995). On channel estimation in OFDM systems. In Proceedings of IEEE 45th Vehicular Technology Conference (pp. 815–819). Chicago, IL, July 1995.
Hsieh, M.-H., & Wei, C.-H. (1998). Channel estimation for OFDM systems based on comb-type pilot arrangement in frequency selective fading channels. IEEE Transactions on Consumer Electronics, 44(1), 217–225.
Edfors, O., Sandell, M., van de Beek, J.-J., Wilson, S. K., & Borjesson, P. O. (1998). OFDM channel estimation by singular value decomposition. IEEE Transactions on Communications, 46(7), 931–939.
Ishihara, D., Takeda, J., & Adachi, F. (2007). Iterative channel estimation for frequency-domain equalization of DSSS signals. IEICE Transactions on Communications, E90-B(5), 1171–1180.
Lam, C., Falconer, D. D., & Lemoibe, F. D. (2008). Iterative frequency domain channel estimation for DFT precoded OFDM systems using in-band pilots. IEEE Journal on Selected Areas in Communications, 26(2), 348–358.
Geng, N., Yuan, X., & Ping, L. (2012). Dual-diagonal LMMSE channel estimation for OFDM systems. IEEE Transactions on Signal Processing, 60(9), 4734–4746.
Ku, T.-K., & Jay Kuo, C.-C. (1992). Design and analysis of Toeplitz preconditioners. IEEE Transactions on Signal Processing, 40(1), 129–141.
Xia, J., Xi, Y., & Gu, M. (2012). A superfast structured solver for Toeplitz linear systems via randomized sampling. SIAM Journal on Matrix Analysis and Applications, 33(3), 837–858.
Hestenes, M., & Stiefel, E. (1952). Methods of conjugate gradients for solving linear systems. Journal of Research of the National Bureau of Standards, 49(6), 409–436.
Strang, G. (1986). A proposal for Toeplitz matrix calculations. Studies in Applied Mathematics, 74, 171–176.
Chan, T. (1988). An optimal circulant preconditioner for Toeplitz systems. SIAM Journal on Scientific and Statistical Computing, 9(4), 766–771.
Davis, P. J. (1979). Circulant matrices. New York: Wiley.
Guidelines for evaluation of radio transmission technologies for IMT-2000, ITU-T Std. M.1225 (1997).
Jakes, W. C. (1994). Microwave mobile communications. New York: IEEE Press.
3GPP, Evolved Universal Terrestrial Radio Access (E-UTRA); Physical channels and modulation, TS 36.211, 3rd Generation Partnership Project (3GPP) (2008).
Acknowledgments
This work was supported in part by Laboratory InnovCOM of Higher School of Telecommunication, University of Carthage Tunisia, and National Engineering School of Tunis.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Khlifi, A., Bouallegue, R. An Accurate and Very Low Complexity LMMSE Channel Estimation Technique for OFDM Systems. Wireless Pers Commun 88, 911–922 (2016). https://doi.org/10.1007/s11277-016-3219-7
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11277-016-3219-7