Nonlinear Precoders for Massive MIMO Systems with General Constraints

Ali Bereyhi1, Mohammad Ali Sedaghat2, Saba Asaad3, Ralf Müller4

  • 1Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU)
  • 2Friedrich Alexander University of Erlangen-Nürnberg
  • 3University of Tehran
  • 4Friedrich-Alexander-Universität Erlangen-Nürnberg

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Invited papers

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14:00 - 16:00 | Wed 15 Mar | Main Room | S1

Random matrix theory and statistical physics in the analysis and design of MIMO systems

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Abstract

We introduce a class of nonlinear least square error precoders with a general penalty function for multiuser massive MIMO systems. The generality of the penalty function allows us to consider several hardware limitations including transmitters with a predefined constellation and restricted number of active antennas. The large-system performance is then investigated via the replica method under the assumption of replica symmetry. It is shown that the least square precoders exhibit the ``marginal decoupling property'' meaning that the marginal distributions of all precoded symbols converge to a deterministic distribution. As a result, the asymptotic performance of the precoders is described by an equivalent single-user system. To address some applications of the results, we further study the asymptotic performance of the precoders when both the peak-to-average power~ratio~and number of active transmit antennas are constrained. Our~numerical~investigations show that for a desired distortion at the receiver side, proposed forms of the least square precoders need to employ around $35\%$ fewer number of active antennas compared to cases with random transmit antenna selection.

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