Least Square Error Precoders for Massive MIMO With Signal Constraints: Fundamental Limits

Sedaghat MA, Bereyhi A, Müller R (2018)


Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2018

Journal

Book Volume: 17

Pages Range: 667-679

Journal Issue: 1

DOI: 10.1109/TWC.2017.2769643

Open Access Link: https://arxiv.org/abs/1612.07902v4

Abstract

This paper proposes nonlinear least square error (LSE) precoders for multiuser MIMO broadcast channels. The LSE precoders are designed such that the discrete output signals are from a predefined set. This predefined set allows us to model several signal constraints such as peak power constraint, constant envelope, and discrete constellations. We study the large-system performance of these precoders via the replica method from statistical physics, and derive a closed-form expression for the asymptotic distortion. Our results demonstrate that an LSE precoder with the output peak-to-average power ratio of 3 dB can perform similar to the regularized zero forcing (RZF) precoder. As the peak-to-average power ratio reduces to one, the constant envelope precoder is recovered. The investigations show that the performance of the RZF precoder is achieved by a constant envelope precoder with 20% additional transmit antennas. For M-phase shift keying constellations, our analysis gives a lower bound on the asymptotic distortion which is tight for moderate antenna-to-user ratios and deviates as the ratio grows. We improve this bound by deriving the replica solution under one-step of replica symmetry breaking. Our numerical investigations for this case show that the bound is tight for antenna-to-user ratios less than 5.

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How to cite

APA:

Sedaghat, M.A., Bereyhi, A., & Müller, R. (2018). Least Square Error Precoders for Massive MIMO With Signal Constraints: Fundamental Limits. IEEE Transactions on Wireless Communications, 17(1), 667-679. https://dx.doi.org/10.1109/TWC.2017.2769643

MLA:

Sedaghat, Mohammad Ali, Ali Bereyhi, and Ralf Müller. "Least Square Error Precoders for Massive MIMO With Signal Constraints: Fundamental Limits." IEEE Transactions on Wireless Communications 17.1 (2018): 667-679.

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