University of Oulu

P. Mursia, I. Atzeni, L. Cottatellucci and D. Gesbert, "Enforcing Statistical Orthogonality in Massive MIMO Systems via Covariance Shaping," in IEEE Transactions on Wireless Communications, vol. 21, no. 10, pp. 8106-8119, Oct. 2022, doi: 10.1109/TWC.2022.3164127.

Enforcing statistical orthogonality in massive MIMO systems via covariance shaping

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Author: Mursia, Placido1,2; Atzeni, Italo3; Cottatellucci, Laura4,5;
Organizations: 1NEC Laboratories Europe GmbH, 69115 Heidelberg, Germany
2Communication Systems Department, EURE- COM, 06904 Biot Sophia Antipolis, France
3Centre for Wireless Communications, University of Oulu, 90570 Oulu, Finland
4Department of Electrical, Electronics, and Communication Engineering, Friedrich-Alexander University Erlangen- Nuremberg, 91054 Erlangen, Germany
5Communication Systems Department, EURECOM, 06904 Biot Sophia Antipolis, France
Format: article
Version: accepted version
Access: open
Online Access: PDF Full Text (PDF, 5.9 MB)
Persistent link:
Language: English
Published: Institute of Electrical and Electronics Engineers, 2022
Publish Date: 2022-11-07


This paper tackles the problem of downlink data transmission in massive multiple-input multiple-output (MIMO) systems where user equipments (UEs) exhibit high spatial correlation and channel estimation is limited by strong pilot contamination. Signal subspace separation among UEs is, in fact, rarely realized in practice and is generally beyond the control of the network designer (as it is dictated by the physical scattering environment). In this context, we propose a novel statistical beamforming technique, referred to as MIMO covariance shaping, that exploits multiple antennas at the UEs and leverages the realistic non-Kronecker structure of massive MIMO channels to target a suitable shaping of the channel statistics performed at the UE-side. To optimize the covariance shaping strategies, we propose a low-complexity block coordinate descent algorithm that is proved to converge to a limit point of the original nonconvex problem. For the two-UE case, this is shown to converge to a stationary point of the original problem. Numerical results illustrate the sum-rate performance gains of the proposed method with respect to spatial multiplexing in scenarios where the spatial selectivity of the base station is not sufficient to separate closely spaced UEs.

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Series: IEEE transactions on wireless communications
ISSN: 1536-1276
ISSN-E: 1558-2248
ISSN-L: 1536-1276
Volume: 21
Issue: 10
Pages: 8106 - 8119
DOI: 10.1109/twc.2022.3164127
Type of Publication: A1 Journal article – refereed
Field of Science: 213 Electronic, automation and communications engineering, electronics
Funding: The work of P. Mursia was supported by the Marie Skłodowska-Curie Actions (MSCA-ITN 722788 SPOTLIGHT). The work of I. Atzeni was supported by the Marie Skłodowska-Curie Actions (MSCA-IF 897938 DELIGHT).
EU Grant Number: (897938) DELIGHT - Device-Centric Low-Complexity High-Frequency Networks
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