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Robust Transceiver Design for Multicell MIMO Downlink Systems

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Abstract

The robust linear transceiver design for the more general model of multicell MIMO downlink system with imperfect channel state information is discussed in this paper. Our aim is to minimize the total power of the network while the quality of service (QoS) in terms of mean-square error (MSE) for every user should be strictly guaranteed for every channel realization in the uncertain region. Unfortunately, this problem may be infeasible due to the MSE constraints. Therefore, we provide a complete analysis of this problem by dividing the solutions into two phases. In phase I, a novel approach is devised to check the feasibility of this problem by considering one alternative problem which is always feasible. This alternative problem is troublesome due to infinite nonconvex MSE constraints. To handle this, we propose an iterative algorithm that performs optimization alternatively by switching between the precoders and decoders. The two subproblems in the algorithm can be recast as semidefinite programming problems which can be efficiently solved. In phase II, one novel iterative algorithm is proposed to solve the original robust problem. Finally, simulation results show that our proposed algorithms converge rapidly and can provide guaranteed QoS for all users. Moreover, we also show that, the more antennas at the users, the more power savings it can provide.

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Notes

  1. In contrast to modeling the channel errors as stochastic variables, which basically guarantees the average or outage performance [9–12], our objective here is to provide strict performance guarantees, corresponding to the worst-case design [23]. The considered model corresponds well to the errors due to the quantization. Note that if the errors are stochastic as assumed in the channel estimation process, the outage performance can be guaranteed by properly controlling the channel error upper bound [24].

  2. In practical systems, each base station has its respective power constraints. However, these constraints can be easily incorporated into the considered problem, which does not affect the essential derivations of the follwoing algorithms. However, for ease of exposition, let us ignore these power constraints. In this case, we allow each base station to transmit signals with high enough power.

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Acknowledgments

This work is supported by National 863 High Technology Development Project (No. 2013AA013601), Key Special Project of National Science and Technology (No. 2013ZX03003006), National Nature Science Foundation of China (Nos. 61172077 and 61223001).

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Authors and Affiliations

  1. National Mobile Communications Research Laboratory, Southeast University, Nanjing , 210096, China

    Cunhua Pan & Ming Chen

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  1. Cunhua Pan
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  2. Ming Chen
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Correspondence to Cunhua Pan.

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Pan, C., Chen, M. Robust Transceiver Design for Multicell MIMO Downlink Systems. Wireless Pers Commun 79, 321–338 (2014). https://doi.org/10.1007/s11277-014-1858-0

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