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

IEEE Transactions on Wireless Communications Institute of Electrical and Electronics Engineers (IEEE)

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.

Authors with CRIS profile

Mohammad Ali Sedaghat Lehrstuhl für Digitale Übertragung Ali Bereyhi Lehrstuhl für Digitale Übertragung Ralf Müller Professur für Informationsübertragung

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://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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