Abstract
In this paper, a novel semi-blind channel estimation and symbol detection based on space-alternating generalized expectation-maximization (SAGE) algorithm are proposed for space time block coded (STBC) multiple input multiple output orthogonal frequency division multiplexing (MIMO-OFDM) systems. At the receiver, the transmitted signals of all users are added. By utilization of SAGE algorithm, this superimposed received signals are decomposed into their signal components. Then, the channel is estimated at pilot positions. After that, the channel estimation in the other positions are obtained by interpolation and symbol detection is done by utilizing the estimated channel. In SAGE algorithm, selection of initial value is very important for the convergence. We discuss the appropriate range for selection of initial value in this paper. Simulation results show that by increasing the number of users, the slope of bit error rate curve increases with same initial value and the channel estimation becomes worse by increasing the iteration of SAGE algorithm if the initial value is not selected in the proposed rang.
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Goldsmith A. (2005) Wireless communications. Cambridge University Press, Cambridge
Foschini, J., Gans, G. J., & Gans, M. J. (1998). On limits of wireless communication in a fading environment when using multiple antennas. Wireless Personal Communication, 36–54.
Telatar I. E. (1999) Capacity of multi-antenna Gaussian channels. European Transactions on Telecommunications 10: 585–595
Alamouti S. M. (1998) A simple transmitter diversity scheme for wireless communications. IEEE Journal of Selected Areas in Communications 16: 1451–1458
Tarokh V., Jafarkhani H., Calderbank A. R. (1999) Space–time block codes from orthogonal designs. IEEE Transaction on Information Theory 45: 1456–1467
Foschini, G. J. (1996). Layered space–time architecture for wireless communication in a fading environment when using multi-element antennas. Bell Laboratories Technical Journal, 41–59.
Naguib A. F., Seshadri N., Calderbank A. R. (2000) Increasing data rate over wireless channels: Space–time coding and signal processing for high data rate wireless communications. IEEE Communications Magazine 17: 76–92
Coleri S., Ergen M., Puri A., Bahai A. (2002) Channel estimation techniques based on pilot arrangement in OFDM systems. IEEE Transaction on Broadcasting 48: 223–229
Hsieh M., Wei C. (1998) Channel estimation for OFDM systems based on comb-type pilot arrangement in frequency selective fading channels. IEEE Transactions on Consumer Electronics 44: 217–225
Tomasin S., Gorokhov A., Yang H., Linnartz J. (2005) Iterative interference cancellation and channel estimation for mobile OFDM. IEEE Transactions on Wireless Communication 4: 238–245
Chotikakamthorn, N., & Suzuki, H. (1999). On identifiability of OFDM blind channel estimation. In Proceedings of IEEE vehicular technology conference (Vol. 4, pp. 2358–2361).
Muquet, B., & de Courville, M. (1999). Blind and semi-blind channel identification methods using second order statistics for OFDM systems. In Proceedings of IEEE international conference on acoustics, speech, and signal processing (Vol. 5, pp. 2745–2748).
Necker M. C., Stuber G. L. (2004) Totally blind channel estimation for OFDM on fast varying mobile radio channels. IEEE Transaction on Wireless Communication 3: 1514–1525
Auer, G. (2003). Channel estimation in two dimensions for OFDM systems with multiple transmit antennas. In GLOBECOM 2003 (Vol. 1, pp. 322–326).
Cavers, J. K. (1991). An analysis of pilot symbol assisted modulation for Rayleigh fading channels. IEEE Transactions on Vehicular Technology, 686–693.
Hoeher, P., Kaiser, S., & Robertson, P. (1997). Two-dimensional pilot-symbol-aided channel estimation by Wiener filtering. In Proceeding of IEEE ICASSP97 (Vol. 3, pp. 1845–1848).
Morelli M., Mengali U. (2001) A comparison of pilot-aided channel estimation methods for OFDM systems. IEEE Transactions on Signal Processing 49: 3065–3079
Mclachlan J. G., Krishnan T. (1997) The EM algorithm and extensions. Wiley, London
Xie Y., Georghiades C. N. (2003) Two EM-type channel estimation algorithms for OFDM with transmitter diversity. IEEE Transactions on Communication 51: 106–115
Fessler J. A., Hero A. O. (1994) Space-alternating generalized expectation maximization algorithm. IEEE Transactions on Signal Processing 42: 2664–2677
Ma X., Kobayashi H., Schwartz S. C. (2004) EM-based channel estimation algorithms for OFDM. EURASIP Journal on Applied Signal Processing 10: 1460–1477
Sgraja, C., & Lindner, J. (2005). EM-based decision-directed channel estimation for OFDM. In Tenth international OFDM-workshop.
Gao, J., & Liu, H. (2008). Low-complexity MAP channel estimation for mobile MIMO-OFDM systems. IEEE Transaction on Wireless Communication, 774–780.
Xu, P., Wang, J., & Qi, F. (2010). A novel EM-based MAP channel estimation for MIMO-OFDM systems. IEEE Conference on Networking, Sensing and Control (ICNSC), 58–61.
Obradovic, D., Szabo, A., & Na, C. (2006). EM-based enhancement of the Wiener pilot-aided channel estimation in MIMO-OFDM systems. In Fourteenth European signal processing conference, EUSIPCO 2006, 4–8.
Obradovic D., Na C., Scheiterer R. L., Szabo A. (2008) EM-based semi-blind channel estimation method for MIMO-OFDM communication systems. ELSEVIER Neurocomputing 71: 2388–2398
Nallanathan, A., & Liang, Y. C. Joint channel estimation and data detection for MIMO systems: A SAGE-base approach.
Someya, T., & Ohtsuki, T. (2005). Channel estimation and data detection with tracking channel variation in MIMO system using ZF-based SAGE algorithm. In IEEE communications society GLOBECOM 2005 (pp. 2948–2952).
Ohtsuki, T., & Someya, T. (2004). SAGE algorithm for channel estimation and data detection with tracking the channel variation in MIMO system. IEEE communications society globecom 2004 (Vol. 6, pp. 3651–3655).
Feder M., Weinstein E. (1988) Parameter estimation of superimposed signals using the EM algorithm. IEEE Transaction on Speech Signal Process 36: 477–489
Hu, G., & Li, D. (2009). EM-based channel estimation for MIMO-OFDM system. In IEEE international conference on networks security, wireless communications and trusted computing (Vol. 1, pp. 159–162).
Karkhanechi, H. M., & Levy, B. C. (2006). EM-based channel estimation for space time block coded MIMO-OFDM systems. In IEEE workshop signal processing systems design and implementation (pp. 177–181).
Proakis J. G. (2001) Digital communications. McGraw-Hill, New York
Hoeher P. (1992) A statistical discrete-time model for the WSSUS multipath channel. IEEE Transaction on Vehicular Technology 41: 461–468
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Hedayati, M.K., Bakhshi, H. & Cheraghi, M. SAGE Algorithm for Semi-Blind Channel Estimation and Symbol Detection for STBC MIMO OFDM Systems. Wireless Pers Commun 71, 1541–1555 (2013). https://doi.org/10.1007/s11277-012-0891-0
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DOI: https://doi.org/10.1007/s11277-012-0891-0