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MMSE beamforming for SC-FDMA transmission over MIMO ISI channels

Published: 01 January 2011 Publication History

Abstract

We consider transmit beamforming for single-carrier frequency-division multiple access (SC-FDMA) transmission over frequency-selective multiple-input multiple-output (MIMO) channels. The beamforming filters are optimized for minimization of the sum of the mean-squared errors (MSEs) of the transmitted data streams after MIMO minimum mean-squared error linear equalization (MMSE-LE), and for minimization of the product of the MSEs after MIMO MMSE decision-feedback equalization (MMSE-DFE), respectively. We prove that for SC-FDMA transmission in both cases eigenbeamforming, diagonalizing the overall channel, together with a nonuniform power distribution is the optimum beamforming strategy. The optimum power allocation derived for MMSE-LE is similar in spirit to classical results for the optimum continuous-time transmit filter for linear modulation formats obtained by Berger/Tufts and Yang/Roy, whereas for MMSE-DFE the capacity achieving waterfilling strategy well known from conventional single-carrier transmission schemes is obtained. Moreover, we present a modification of the beamformer design to mitigate an increase of the peak-to-average power ratio (PAPR) which is in general associated with beamforming. Simulation results demonstrate the high performance of the proposed beamforming algorithms.

References

[1]
3GPP TS 36.211, "Evolved Universal Terrestrial Radio Access (E-UTRA), Physical Channels and Modulation (Release 8)," 3GPP, June 2007.
[2]
H. G. Myung, J. Lim, and D. J. Goodman, "Single carrier FDMA for uplink wireless transmission," IEEE Vehicular Technology Magazine, vol. 1, no. 3, pp. 30-38, 2006.
[3]
T. Lunttila, J. Lindholm, K. Pajukoski, E. Tiirola, and A. Toskala, "EUTRAN uplink performance," in Proceedings of the International Symposium on Wireless Pervasive Computing (ISWPC '07), pp. 515-519, San Juan, Puerto Rico, January 2007.
[4]
W. Gerstacker, P. Nickel, F. Obernosterer, U. Dang, P. Gunreben, and W. Koch, "Trellis-based receivers for SC-FDMA transmission over MIMOISI channels," in Proceedings of IEEE International Conference on Communications (ICC '08), pp. 4526-4531, Beijing, China, May 2008.
[5]
Y. Zhu and K. B. Letaief, "Single-carrier frequency-domain equalization with noise prediction for MIMO systems," IEEE Transactions on Communications, vol. 55, no. 5, pp. 1063- 1076, 2007.
[6]
D. Grieco, J.-L. Pan, R. Olesen, and N. Shah, "Uplink singleuser MIMO for 3GPP LTE," in Proceedings of the IEEE International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC '07), pp. 1-5, Athens, Greece, September 2007.
[7]
H. G. Myung, J.-L. Olesen, and D. Grieco, "Peak power characteristics of single carrier FDMA MIMO precoding system," in IEEE Vehicular Technology Conference (VTC '07), Baltimore, Md, USA, 2007.
[8]
T. Berger and D. Tufts, "Optimum pulse amplitude modulation, part I: transmitter-receiver design and bounds from information theory," IEEE Transactions on Information Theory, vol. IT-13, pp. 196-208, 1967.
[9]
J. Yang and S. Roy, "Joint transmitter-receiver optimization formulti-input multi-output systems with decision feedback," IEEE Transactions on Information Theory, vol. 40, no. 5, pp. 1334-1347, 1994.
[10]
R. W. Bäuml, R. F. H. Fischer, and J. B. Huber, "Reducing the peak-to-average power ratio of multicarrier modulation by selected mapping," Electronics Letters, vol. 32, no. 22, pp. 2056-2057, 1996.
[11]
M. S. Back, M. J. Kim, Y. H. You, and H. K. Song, "Semiblind channel estimation and PAR reduction for MIMOOFDM system with multiple antennas," IEEE Transactions on Broadcasting, vol. 50, no. 4, pp. 414-424, 2004.
[12]
S. Kay, "Some results in linear interpolation theory," IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. 31, no. 3, pp. 746-749, 1983.
[13]
B. Picinbono and J. M. Kerilis, "Some properties of prediction and interpolation errors," IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. 36, no. 4, pp. 525-531, 1988.
[14]
Y. Lebrun, C. Hofbauer, V. Ramon et al., "Tap and transmit antenna correlation based precoding for MIMO-OFDM systems," in Proceedings of the European Signal Processing Conference (EUSIPCO '09), Glasgow, Scotland, August 2009.
[15]
S. Jafar, S. Vishwanath, and A. Goldsmith, "Channel capacity and beamforming for multiple transmit and receive antennas with covariance feedback," in Proceedings of IEEE International Conference on Communications (ICC '01), pp. 2266-2270, Helsinki, Finland, June 2001.
[16]
M. Bazaraa, H. Sherali, and C. Shetty, Nonlinear Programming-- Theory and Algorithms, Wiley-Interscience, Hoboken, NJ, USA, 3rd edition, 2006.
[17]
D. Palomar, A unified framework for communications through MIMO channels, Ph.D. dissertation, Technical University of Catalonia (UPC), Barcelona, Spain, May 2003.
[18]
J. Yang and S. Roy, "On joint transmitter and receiver optimization for multiple-input-multiple-output (MIMO) transmission systems," IEEE Transactions on Communications, vol. 42, no. 12, pp. 3221-3231, 1994.
[19]
A. M. Chan and G. W. Wornell, "A class of block-iterative equalizers for intersymbol interference channels: Fixed channel results," IEEE Transactions on Communications, vol. 49, no. 11, pp. 1966-1976, 2001.
[20]
Y. U. Zhu and K. B. Letaief, "Frequency domain preequalization with transmit precoding for MIMO broadcast wireless channels," IEEE Journal on Selected Areas in Communications, vol. 26, no. 2, pp. 389-400, 2008.
[21]
M. V. Eyuboglu, "Detection of coded modulation signals on linear, severely distorted channels using decision-feedback noise prediction with interleaving," IEEE Transactions on Communications, vol. 36, no. 4, pp. 401-409, 1988.

Cited By

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  • (2017)Nonlinear Equalization Approaches for Physical Layer Network CodingIEEE Transactions on Wireless Communications10.1109/TWC.2016.263069416:2(825-838)Online publication date: 1-Feb-2017

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Published In

cover image EURASIP Journal on Advances in Signal Processing
EURASIP Journal on Advances in Signal Processing  Volume 2011, Issue
Special issue on advances in single carrier block modulation with frequency domain processing
January 2011
117 pages

Publisher

Hindawi Limited

London, United Kingdom

Publication History

Published: 01 January 2011
Accepted: 09 November 2010
Revised: 14 October 2010
Received: 12 May 2010

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  • (2017)Nonlinear Equalization Approaches for Physical Layer Network CodingIEEE Transactions on Wireless Communications10.1109/TWC.2016.263069416:2(825-838)Online publication date: 1-Feb-2017

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