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This paper considers minimum sum Mean-Squared Error (sum-MSE) linear transceiver designs in multiuser downlink systems with imperfect channel state information. Specifically, the authors derive the optimal energy allocations for training and data phases for such a system. Under MMSE estimation of uncorrelated Rayleigh block fading channels with equal average powers, they prove the separability of the energy allocation and transceiver design optimization problems. A closed-form optimum energy allocation is derived and applied to existing transceiver designs. Analysis and simulation results demonstrate the improvements that can be realized with the proposed design.
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