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MIMO Gaussian Channels With Arbitrary Inputs: Optimal Precoding and Power Allocation

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3 Author(s)
Perez-Cruz, F. ; Electr. Eng. Dept., Princeton Univ., Princeton, NJ, USA ; Rodrigues, M.R.D. ; Verdu, S.

In this paper, we investigate the linear precoding and power allocation policies that maximize the mutual information for general multiple-input-multiple-output (MIMO) Gaussian channels with arbitrary input distributions, by capitalizing on the relationship between mutual information and minimum mean-square error (MMSE). The optimal linear precoder satisfies a fixed-point equation as a function of the channel and the input constellation. For non-Gaussian inputs, a nondiagonal precoding matrix in general increases the information transmission rate, even for parallel noninteracting channels. Whenever precoding is precluded, the optimal power allocation policy also satisfies a fixed-point equation; we put forth a generalization of the mercury/waterfilling algorithm, previously proposed for parallel noninterfering channels, in which the mercury level accounts not only for the non-Gaussian input distributions, but also for the interference among inputs.

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Information Theory, IEEE Transactions on  (Volume:56 ,  Issue: 3 )