Robust Transceiver Design for Downlink Multiuser MIMO AF Relay Systems

Li, Jun; Gao, Feifei; Qiu, Zhengding

doi:10.1109/twc.2014.2382632

Cited by 20 publications

(25 citation statements)

References 43 publications

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“…Contrary to works adopting this method [10], [33]- [35], we avoid conservative approximations used to convexify the optimization step, and we solve the pessimization step exactly, and hence guarantee convergence to a robust solution of the original semi-infinite problem. We further prove the KKT optimality of the solution.…”

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confidence: 99%

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Robust Transmission in Downlink Multiuser MISO Systems: A Rate-Splitting Approach

Joudeh

Clerckx

2016

IEEE Trans. Signal Process.

218

171

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Abstract-We consider a downlink multiuser MISO system with bounded errors in the Channel State Information at the Transmitter (CSIT). We first look at the robust design problem of achieving max-min fairness amongst users (in the worstcase sense). Contrary to the conventional approach adopted in literature, we propose a rather unorthodox design based on a Rate-Splitting (RS) strategy. Each user's message is split into two parts, a common part and a private part. All common parts are packed into one super common message encoded using a public codebook, while private parts are independently encoded. The resulting symbol streams are linearly precoded and simultaneously transmitted, and each receiver retrieves its intended message by decoding both the common stream and its corresponding private stream. For CSIT uncertainty regions that scale with SNR (e.g. by scaling the number of feedback bits), we prove that a RS-based design achieves higher max-min (symmetric) Degrees of Freedom (DoF) compared to conventional designs (NoRS). For the special case of non-scaling CSIT (e.g. fixed number of feedback bits), and contrary to NoRS, RS can achieve a non-saturating max-min rate. We propose a robust algorithm based on the cutting-set method coupled with the Weighted Minimum Mean Square Error (WMMSE) approach, and we demonstrate its performance gains over state-of-the art designs. Finally, we extend the RS strategy to address the Quality of Service (QoS) constrained power minimization problem, and we demonstrate significant gains over NoRS-based designs.Index Terms-MISO-BC, degrees of freedom, linear precoding, max-min fairness, quality-of-service, robust optimization.

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confidence: 99%

“…There exists a feasible RS precoding scheme that achieves the DoF d c = 1 −ā andd k = min{(α k + a k −ā k ) + , a k } (35) for all a k ∈ [0, 1],ā max j {a j } K j=1 andā k max j {a j } j =k . Proof: We consider a ZF-BF design based on the imperfect estimate H for the private precoders such that P p = H H † B, where B diag q 1 /b 1 , .…”

mentioning

confidence: 99%

Robust Transmission in Downlink Multiuser MISO Systems: A Rate-Splitting Approach

Joudeh

Clerckx

2016

IEEE Trans. Signal Process.

218

171

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“…substituting (25) back into (24) and using the S-Lemma [35], the LMI version of the SRINR constraint can be finally denoted as ⎡…”

Section: Decoupled Source Beamforming Designsmentioning

confidence: 99%

Decoupled beamforming techniques for distributed MIMO two-way multi-relay networks with imperfect CSI

Duan

Zhu

et al. 2018

J Wireless Com Network

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This paper investigates decoupled beamforming techniques for the distributed multi-input multi-output (MIMO) two-way relay networks (TWRN) with imperfect channel state informations (CSIs). The objective of this paper is to maximize the weighted sum rate (SR) with semi-infinite relay power constraints. Since the objective problem is difficult to be solved directly, considering the high signal-to-residual-interference-plus-noise ratio (SRINR) and employing the Cauchy-Schwarz inequality and S-lemma, the problem can be approximately converted into a source beamforming decoupled one. In addition, with the optimal relay beamforming design and maximum ratio combining (MRC) at the receiver, the MIMO channels are decoupled into parallel single-input single-output (SISO) channels. By this way, the suboptimal relay beamforming matrix can be efficiently obtained with minimal relay power constraint. Specifically, the semi-infinite constraints can be reformulated into a linear matrix inequality (LMI), which can be efficiently solved by using an alternating optimization algorithm. Numerical results demonstrate that our proposed decoupled beamforming scheme outperforms the existing works in terms of the SR and the computational complexity with satisfactory convergence.

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“…Furthermore, in [21][22][23][24][25][26], the generalization of S-Lemma to complex-valued variables and multiple semi-infinite (SI) constraints are presented. They have investigated iterative algorithms based on alternating convex search (ACS) to devise practical algorithms for solving the semi-infinite problems.…”

Section: Introductionmentioning

confidence: 99%

“…They have investigated iterative algorithms based on alternating convex search (ACS) to devise practical algorithms for solving the semi-infinite problems. In addition, in [26], the authors investigated a robust transceiver design for downlink multiuser MIMO AF-relay systems with norm-bounded channel uncertainties presenting that the cutting-set method proposed improves the performance of the worst-case MSE.…”

Section: Introductionmentioning

confidence: 99%

Generalized Beamforming Design for Cooperative MIMO Multirelay Networks with Infinite Constraints and Imperfect CSI

Duan

Sun

et al. 2018

Mathematical Problems in Engineering

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A generalized base station-relay-user equipment (BS-Relay-UE) beamforming design is investigated for a cooperative multipleinput multiple-output (MIMO) multirelay networks with imperfect channel state information (CSI). In order to minimize the worstcase mean square error (MSE) which is subject to a semi-infinite (SI) relay power constraints, a generalized optimal beamforming structure for the relay amplifying matrix is effectively proposed, and then the SI relay power constraints are converted into linear matrix inequalities (LMIs) version. In such conversion, the objective problem recasts as a decoupled biconvex semidefinite programming (SDP) one which can be efficiently solved by the proposed alternating algorithm. The system performance has been verified in terms of worst-case MSE using a set of qualitative analyses. The results show us that the proposed beamforming method outperforms the conventional schemes and can also effectively reduce the computational complexity when it is compared to the cutting-set schemes and also to the nonrobust ones.

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Robust Transceiver Design for Downlink Multiuser MIMO AF Relay Systems

Cited by 20 publications

References 43 publications

Robust Transmission in Downlink Multiuser MISO Systems: A Rate-Splitting Approach

Robust Transmission in Downlink Multiuser MISO Systems: A Rate-Splitting Approach

Decoupled beamforming techniques for distributed MIMO two-way multi-relay networks with imperfect CSI

Generalized Beamforming Design for Cooperative MIMO Multirelay Networks with Infinite Constraints and Imperfect CSI

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