Robust Linear Precoding for Uncertain Miso Broadcast Channels

Shenouda, M.B.; Davidson, T.N.

doi:10.1109/icassp.2006.1660899

Cited by 21 publications

(18 citation statements)

References 13 publications

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“…Robust precoding schemes have been derived in the literature either as statistical robust ZF precoder or precoder optimizing the worst case performances [7] to reduce the harmful effect of the imperfect CSI.…”

Section: B Robust Zero Forcingmentioning

confidence: 99%

“…To put this in contrast, note that in the BC, the impact of finite rate feedback [3]- [6] and the derivation of robust solutions [7], [8] have been the focus of many works, which have been then extended to the MIMO network setting [9], [10]. However, these works only focus on the case of imperfect CSI yet perfectly shared between the TXs and do not consider the case when each TX has its own imperfect estimation of the multi-user channel, which will be our focus in this work.…”

Section: Introductionmentioning

confidence: 99%

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The multiplexing gain of a two-cell MIMO channel with unequal CSI

Kerret¹,

Gesbert²

2011

2011 IEEE International Symposium on Information Theory Proceedings

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In this work 1 , the joint precoding across two distant transmitters (TXs), sharing the knowledge of the data symbols to be transmitted, to two receivers (RXs), each equipped with one antenna, is discussed. We consider a distributed channel state information (CSI) configuration where each TX has its own local estimate of the channel and no communication is possible between the TXs. Based on the distributed CSI configuration, we introduce a concept of distributed MIMO precoding. We focus on the high signal-to-noise ratio (SNR) regime such that the two TXs aim at designing a precoding matrix to cancel the interference. Building on the study of the multiple antenna broadcast channel, we obtain the following key results: We derive the multiplexing gain (MG) as a function of the scaling in the SNR of the number of bits quantizing at each TX the channel to a given RX. Particularly, we show that the conventional Zero Forcing precoder is not MG maximizing, and we provide a precoding scheme optimal in terms of MG. Beyond the established MG optimality, simulations show that the proposed precoding schemes achieve better performances at intermediate SNR than known linear precoders.

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Section: B Robust Zero Forcingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The multiplexing gain of a two-cell MIMO channel with unequal CSI

Kerret¹,

Gesbert²

2011

2011 IEEE International Symposium on Information Theory Proceedings

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“…The MSE is a well established measure for the type of problem we consider [15]- [17], [19]- [25], [27] and in general in the context of severely delay constrained applications that use short codes or even uncoded transmission, see for example [54]- [56]. Note also that short inner codes optimized with respect to MSE may be used as building blocks in communication systems that have an outer error-correcting code, in a similar spirit to the way space-time block codes based on signal-space diversity techniques can be used as inner codes in coded multiantenna transmissions.…”

Section: System Model and Problem Formulationsmentioning

confidence: 99%

“…Related problems have been considered before for multiple-input single-output (MISO) and MIMO communication systems. For example in [15]- [19] the transmitters for the MISO broadcast channel (BC) were optimized using different design criteria including MSE, sum-MSE and signal-to-interference-plus-noise ratio (SINR) subject to different power constraints in different setups including CR networks. There are also many papers that robustly design similar systems with multiple antennas at both ends (i.e., the MIMO case) [20]- [25] in single-user or multi-user networks.…”

Section: A Related Recent Workmentioning

confidence: 99%

The Sign-Definiteness Lemma and Its Applications to Robust Transceiver Optimization for Multiuser MIMO Systems

Gharavol

Larsson

2013

IEEE Trans. Signal Process.

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We formally generalize the sign-definiteness lemma to the case of complex-valued matrices and multiple norm-bounded uncertainties. This lemma has found many applications in the study of the stability of control systems, and in the design and optimization of robust transceivers in communications. We then present three different novel applications of this lemma in the area of multi-user multiple-input multiple-output (MIMO) robust transceiver optimization. Specifically, the scenarios of interest are: (i) robust linear beamforming in an interfering adhoc network, (ii) robust design of a general relay network, including the two-way relay channel as a special case, and (iii) a half-duplex one-way relay system with multiple relays. For these networks, we formulate the design problems of minimizing the (sum) MSE of the symbol detection subject to different average power budget constraints. We show that these design problems are non-convex (with bilinear or trilinear constraints) and semiinfinite in multiple independent uncertainty matrix-valued variables. We propose a two-stage solution where in the first step the semi-infinite constraints are converted to linear matrix inequalities using the generalized signdefiniteness lemma, and in the second step, we use an iterative algorithm based on alternating convex search (ACS). Via simulations we evaluate the performance of the proposed scheme.

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“…This approach is possible if the distribution of the parameter uncertainty is available. A few studies on robust precoding for multiuser MISO downlink with imperfect CSI have been reported in the literature [13]- [15]. The studies on robust precoder design in [13]- [15], however, are only for user terminals with single receive antenna.…”

Section: Introductionmentioning

confidence: 99%

Robust Transceiver Design for Multiuser MIMO Downlink

Ubaidulla

Chockalingam

2008

IEEE GLOBECOM 2008 - 2008 IEEE Global Telecommunications Conference

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Abstract-In this paper, we consider robust joint linear precoder/receive filter design for multiuser multi-input multi-output (MIMO) downlink that minimizes the sum mean square error (SMSE) in the presence of imperfect channel state information (CSI). The base station is equipped with multiple transmit antennas, and each user terminal is equipped with multiple receive antennas. The CSI is assumed to be perturbed by estimation error. The proposed transceiver design is based on jointly minimizing a modified function of the MSE, taking into account the statistics of the estimation error under a total transmit power constraint. An alternating optimization algorithm, wherein the optimization is performed with respect to the transmit precoder and the receive filter in an alternating fashion, is proposed. The robustness of the proposed algorithm to imperfections in CSI is illustrated through simulations.

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Robust Linear Precoding for Uncertain Miso Broadcast Channels

Cited by 21 publications

References 13 publications

The multiplexing gain of a two-cell MIMO channel with unequal CSI

The multiplexing gain of a two-cell MIMO channel with unequal CSI

The Sign-Definiteness Lemma and Its Applications to Robust Transceiver Optimization for Multiuser MIMO Systems

Robust Transceiver Design for Multiuser MIMO Downlink

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