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

Journal article
(Original article)


Publication Details

Author(s): Sedaghat MA, Bereyhi A, Müller R
Journal: IEEE Transactions on Wireless Communications
Publication year: 2018
Volume: 17
Journal issue: 1
Pages range: 667-679
ISSN: 1536-1276
Language: English


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.


FAU Authors / FAU Editors

Bereyhi, Ali
Lehrstuhl für Digitale Übertragung
Müller, Ralf Prof. Dr.-Ing.
Professur für Informationsübertragung
Sedaghat, Mohammad Ali
Lehrstuhl für Digitale Übertragung


External institutions
NTNU Trondheim - Norwegian University of Science and Technology


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.

BibTeX: 

Last updated on 2019-05-01 at 23:10