Robust Tomlinson-Harashima Precoders for Multiuser MISO Downlink with Imperfect CSI

In this paper, we consider robust non-linear precoding for the downlink of a multiuser multiple-input single-output (MISO) communication system in the presence of imperfect channel state information (CSI). The base station (BS) is equipped with multiple transmit antennas and each user terminal is eq...

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Published in:	Wireless personal communications Vol. 54; no. 1; pp. 53 - 68
Main Authors:	Ubaidulla, P., Chockalingam, A.
Format:	Journal Article
Language:	English
Published:	Boston Springer US 01.07.2010
Subjects:	Communications Engineering Computer Communication Networks Engineering Networks Signal,Image and Speech Processing Tomlinson-Harashima precoder Imperfect CSI Multiuser MISO downlink
ISSN:	0929-6212, 1572-834X
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Abstract	In this paper, we consider robust non-linear precoding for the downlink of a multiuser multiple-input single-output (MISO) communication system in the presence of imperfect channel state information (CSI). The base station (BS) is equipped with multiple transmit antennas and each user terminal is equipped with a single receive antenna. We propose two robust Tomlinson-Harashima precoder (THP) designs. The first design is based on the minimization of the total BS transmit power under constraints on the mean square error (MSE) at the individual user receivers. We show that this problem can be solved by an iterative procedure, where each iteration involves the solution of a pair of convex optimization problems that can be solved efficiently. A robust linear precoder with MSE constraints can be obtained as a special case of this robust THP. The second design is based on the minimization of a stochastic function of the sum MSE under a constraint on the total BS transmit power. We formulate this design problem as an optimization problem that can be solved by the method of alternating optimization, the application of which results in a second-order cone program that can be numerically solved efficiently. Simulation results illustrate the improvement in performance of the proposed precoders compared to other robust linear and non-linear precoders in the literature.
AbstractList	In this paper, we consider robust non-linear precoding for the downlink of a multiuser multiple-input single-output (MISO) communication system in the presence of imperfect channel state information (CSI). The base station (BS) is equipped with multiple transmit antennas and each user terminal is equipped with a single receive antenna. We propose two robust Tomlinson-Harashima precoder (THP) designs. The first design is based on the minimization of the total BS transmit power under constraints on the mean square error (MSE) at the individual user receivers. We show that this problem can be solved by an iterative procedure, where each iteration involves the solution of a pair of convex optimization problems that can be solved efficiently. A robust linear precoder with MSE constraints can be obtained as a special case of this robust THP. The second design is based on the minimization of a stochastic function of the sum MSE under a constraint on the total BS transmit power. We formulate this design problem as an optimization problem that can be solved by the method of alternating optimization, the application of which results in a second-order cone program that can be numerically solved efficiently. Simulation results illustrate the improvement in performance of the proposed precoders compared to other robust linear and non-linear precoders in the literature.
Author	Chockalingam, A. Ubaidulla, P.
Author_xml	– sequence: 1 givenname: P. surname: Ubaidulla fullname: Ubaidulla, P. email: ubaidulla@ece.iisc.ernet.in organization: Department of Electrical Communication Engineering, Indian Institute of Science – sequence: 2 givenname: A. surname: Chockalingam fullname: Chockalingam, A. organization: Department of Electrical Communication Engineering, Indian Institute of Science
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References_xml	– reference: PayaroM.Pascual-IserteA.LagunasM.A.Robust power allocation designs for multiuser and multiantenna downlink communication systems through convex optimizationIEEE Journal on Selected Areas in Communications2007251392140110.1109/JSAC.2007.070912 – reference: TseD.ViswanathP.Fundamentals of wireless communication2006CambridgeCambridge University Press – reference: ShenoudaM.B.DavidsonT.N.Tomlinson-Harashima precoding for broadcast channels with uncertaintyIEEE Journal on Selected Areas in Communications2007251380138910.1109/JSAC.2007.070911 – reference: Mezghani, A., Hunger, R., Joham, M., & Utschick, W. (2006). Iterative THP transceiver optimization for multiuser MIMO systems based on weighted sum-MSE minimization. In Proceedings of IEEE SPAWC’2006 pp. 1–5. – reference: Shenouda, M. B., & Davidson, T. N. (2006). Robust linear precoding for uncertain MISO broadcast Channels. In Proceedings of IEEE ICASSP’2006, Vol. 4, pp. 37–40. – reference: SturmJ.Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric conesOptimization Methods and Software19991162565310.1080/105567899088057661778433 – reference: Hunger, R., Dietrich, F., Joham, M., & Utschick, W. (2004). Robust transmit zero-forcing filters. In Proceedings of ITG Workshop on Smart Antennas, Munich, pp. 130–137. – reference: Fischer, R., Windpassinger, C., Lampe, A., & Huber, J. (2002). MIMO precoding for decentralized receivers. In Proceedings of IEEE ISIT’2002, p. 496. – reference: SpencerQ.H.SwindlehurstA.L.HaardtM.Zero-forcing methods for downlink spatial multiplexing in multiuser MIMO channelsIEEE Transactions on Signal Processing20045246147110.1109/TSP.2003.8211072049894 – reference: Kusume, K., Joham, M., Utschick, W., & Bauch, G. (2005). Efficient Tomlinson-Harashima precoding for spatial multiplexing on flat MIMO channel. Proceedings of IEEE ICC’2005, Vol. 3, pp. 2021–2025. – reference: SanguinettiL.MorelliM.Non-linear precoding for multiple-antenna multiuser downlink transmissions with different QoS requirementsIEEE Transactions on Wireless Communications2007685285610.1109/TWC.2007.05588 – reference: BigueshM.ShahbazpanahiS.GershmanA.B.Robust downlink power control in wireless cellular systemsEURASIP Journal on Wireless Communications and Networking2004226127210.1155/S1687147204406112 – reference: JohamM.UtschickW.NossekJ.A.Linear transmit processing in MIMO communications systemsIEEE Transactions on Signal Processing2005532700271210.1109/TSP.2005.8503312170649 – reference: JindalN.MIMO broadcast channels with finite rate feedbackIEEE Transactions on Information Theory2006525045505910.1109/TIT.2006.8835502300371 – reference: FischerR.Precoding and signal shaping for digital transmission2002New YorkWiley10.1002/0471439002 – reference: BolcskeiH.GesbertD.PapadiasC.B.van der VeenA.-J.Space–time wireless systems: From array processing to MIMO communications2006CambridgeCambridge University Press10.1017/CBO9780511616815 – reference: Shenouda, M. B., & Davidson, T. N. (2007). Linear matrix inequality formulations of robust QoS precoding for broadcast channels. In Proceedings of CCECE’2007, pp. 324–328. – reference: Ben-TalA.NemirovskyA.Robust convex optimizationMathematics of Operations Research19982347698050977.9005210.1287/moor.23.4.7691662410 – reference: SchubertM.BocheH.Iterative multiuser uplink and downlink beamforming under SINR constraintsIEEE Transactions on Signal Processing2005532324233410.1109/TSP.2005.8491642190401 – reference: KassamS.A.PoorH.V.Robust techniques for signal processing: A surveyProceeding of the IEEE1985343348110.1109/PROC.1985.13167 – reference: Mutapcic, A., Kim, S. J., & Boyd, S. (2007). A tractable method for robust downlink beamforming in wireless communications. Proceedings of ACSSC’2007, pp. 1224–1228. – reference: Bezdek, J. C., & Hathaway, R. J. (2002). Some notes on alternating optimization. In Advances in Soft Computing AFSS 2002, LNAI 2275 (pp. 288–300). 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Title	Robust Tomlinson-Harashima Precoders for Multiuser MISO Downlink with Imperfect CSI
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