Noncoherent MIMO Multiple-Access Channels: A Joint Constellation Design
Paper i proceeding, 2020

We consider the joint constellation design problem for noncoherent multiple-input multiple-output multiple-access channels. By analyzing the noncoherent maximum-likelihood detection error, we propose novel design criteria so as to minimize the error probability. For any given set of constellation sizes, the proposed metrics can be optimized over the set of signal matrices. Based on these criteria, we propose a simple and efficient construction consisting in partitioning a single-user constellation. 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.

unitary space-time modulation

block fading

multiple-access channel

Grassmannian constellation


noncoherent communications


Khac-Hoang Ngo

Chalmers, Elektroteknik, Kommunikations- och antennsystem, Kommunikationssystem

Sheng Yang

Laboratory of Signals and Systems, CentraleSupélec, Paris-Saclay University

Maxime Guillaud

Mathematical and Algorithmic Sciences Laboratory, Huawei Technologies France

Alexis Decurninge

Mathematical and Algorithmic Sciences Laboratory, Huawei Technologies France

IEEE Information Theory Workshop (ITW)
Riva del Garda, Italy,


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