Min-Max MSE Precoding for Broadcast Channels Based on Statistical Channel State Information

Assir, Rachid El; Dietrich, F.A.; Joham, Michael; Utschick, Wolfgang

doi:10.1109/spawc.2006.346493

Cited by 2 publications

(1 citation statement)

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“…First, the application of DPC is questionable, since it is unclear up to now how DPC can be used with erroneous CSI. Second, it is unclear how to systematically include the uncertainties in the SINR criterion (see the discussion in [8] and the attempt in [9] for the case of statistical CSI).…”

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Robust Precoding With Bayesian Error Modeling for Limited Feedback MU-MISO Systems

Joham¹,

Castro

Castedo

et al. 2010

IEEE Trans. Signal Process.

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We consider the robust precoder design for Multi-User Multiple Input Single Output (MU-MISO) systems, where the Channel State Information (CSI) is fed back from the single antenna receivers to the centralized transmitter equipped with multiple antennas. We propose to compress the feedback data by projecting the channel estimates onto a vector basis, known at the receivers and the transmitter, and quantizing the resulting coefficients. The channel estimator and the basis for the rank reduction are jointly optimized by minimizing the Mean Square Error (MSE).Expressions for the conditional mean and the conditional covariance of the channel are derived which are necessary for the robust precoder design. These expressions take into account the following sources of error: channel estimation, truncation for rank reduction, quantization, and feedback channel delay. Three well-known precoder types, namely Linear Precoding (LP), Vector Precoding (VP), and Tomlinson-Harashima Precoding (THP), are designed based on the expectation of the MSE conditioned on the fed-back CSI. Our results show that robust precoding based on fedback CSI clearly outperforms conventional precoding designs which do not take into account the errors in the CSI.Additionally, we observe that a robust design is especially crucial for systems employing non-linear precoding with scarce feedback rate. Index TermsFeedback channel, Bayesian approach, imperfect CSI, robust precoding. I. INTRODUCTIONWe consider a MU-MISO system, i.e. a multiple antennas transmitter and several single-antenna receivers, since the centralized access point in a cellular system admits more complexity and cost than the mobiles. A MU-MISO system is a prominent example of a vector broadcast channel [1]. Recently, it has been shown that the Dirty Paper

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