Joint Constellation Design for Noncoherent MIMO Multiple-Access Channels
Artikel i vetenskaplig tidskrift, 2022

We consider the joint constellation design problem for the noncoherent multiple-input multiple-output multiple-access channel (MAC). By analyzing the noncoherent maximum-likelihood detection error, we propose novel design criteria so as to minimize the error probability. As a baseline approach, we adapt several existing design criteria for the point-to-point channel to the MAC. Furthermore, we propose new design criteria. Our first proposed design metric is the dominating term in nonasymptotic lower and upper bounds on the pairwise error probability exponent. We give a geometric interpretation of the bound using Riemannian distance in the manifold of Hermitian positive definite matrices. From an analysis of this metric at high signal-to-noise ratio, we obtain further simplified metrics. For any given set of constellation sizes, the proposed metrics can be optimized over the set of constellation symbols. Motivated by the simplified metric, we propose a simple constellation construction consisting in partitioning a single-user constellation. We also provide a generalization of our previously proposed construction based on precoding individual constellations of lower dimensions. For a fixed joint constellation, the design metrics can be further optimized over the per-user transmit power, especially when the users transmit at different rates. Considering unitary space-time modulation, we investigate the option of building each individual constellation as a set of truncated unitary matrices scaled by the respective transmit power. Numerical results show that our proposed metrics are meaningful, and can be used as objectives to generate constellations through numerical optimization that perform better, for the same transmission rate and power constraint, than a common pilot-based scheme and the constellations optimized with existing metrics.

multiple-access channel (MAC)

ML detector

unitary space-time modulation (USTM)

Measurement

Optimization

MIMO communication

Manifolds

Receiving antennas

Symbols

Phase shift keying

Multiple-input multiple-output (MIMO)

noncoherent communications

Författare

Khac-Hoang Ngo

Chalmers, Elektroteknik, Kommunikation, Antenner och Optiska Nätverk

Sheng Yang

Université Paris-Saclay

Maxime Guillaud

Huawei Technologies

Alexis Decurninge

Huawei Technologies

IEEE Transactions on Information Theory

0018-9448 (ISSN) 1557-9654 (eISSN)

Vol. 68 11 7281-7305

Ämneskategorier

Telekommunikation

Kommunikationssystem

Signalbehandling

DOI

10.1109/TIT.2022.3189254

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2024-03-07