University of Oulu

H. Djelouat, M. Leinonen and M. Juntti, "Spatial Correlation Aware Compressed Sensing for User Activity Detection and Channel Estimation in Massive MTC," in IEEE Transactions on Wireless Communications, vol. 21, no. 8, pp. 6402-6416, Aug. 2022, doi: 10.1109/TWC.2022.3149111

Spatial correlation aware compressed sensing for user activity detection and channel estimation in massive MTC

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Author: Djelouat, Hamza1; Leinonen, Markus1; Juntti, Markku1
Organizations: 1Centre for Wireless Communications – Radio Technologies, FI-90014, University of Oulu, Finland
Format: article
Version: published version
Access: open
Online Access: PDF Full Text (PDF, 1.3 MB)
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Language: English
Published: Institute of Electrical and Electronics Engineers, 2022
Publish Date: 2022-04-19


Grant-free access is considered as a key enabler for massive machine-type communications (mMTC) as it promotes energy-efficiency and small signalling overhead. Due to the sporadic user activity in mMTC, joint user identification and channel estimation (JUICE) is a main challenge. This paper addresses the JUICE in single-cell mMTC with single-antenna users and a multi-antenna base station (BS) under spatially correlated fading channels. In particular, by leveraging the sporadic user activity, we solve the JUICE in a multi measurement vector compressed sensing (CS) framework under two different cases, with and without the knowledge of prior channel distribution information (CDI) at the BS. First, for the case without prior information, we formulate the JUICE as an iterative reweighted ℓ2,1-norm minimization problem. Second, when the CDI is known to the BS, we exploit the available information and formulate the JUICE from a Bayesian estimation perspective as a maximum a posteriori probability (MAP) estimation problem. For both JUICE formulations, we derive efficient iterative solutions based on the alternating direction method of multipliers (ADMM). The numerical experiments show that the proposed solutions achieve higher channel estimation quality and activity detection accuracy with shorter pilot sequences compared to existing algorithms.

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Series: IEEE transactions on wireless communications
ISSN: 1536-1276
ISSN-E: 1558-2248
ISSN-L: 1536-1276
Volume: 21
Issue: 8
Pages: 6402 - 6416
DOI: 10.1109/TWC.2022.3149111
Type of Publication: A1 Journal article – refereed
Field of Science: 213 Electronic, automation and communications engineering, electronics
Funding: This work has been financially supported in part by the Academy of Finland (grant 319485) and Academy of Finland 6Genesis Flagship (grant 318927). The work of M. Leinonen has also been financially supported in part by Infotech Oulu and the Academy of Finland (grant 323698). H. Djelouat would like to acknowledge the support of Tauno Tönning Foundation, Riitta ja Jorma J. Takanen Foundation, and Nokia Foundation.
Academy of Finland Grant Number: 323698
Detailed Information: 323698 (Academy of Finland Funding decision)
318927 (Academy of Finland Funding decision)
319485 (Academy of Finland Funding decision)
Copyright information: © The Author(s) 2022. This work is licensed under a Creative Commons Attribution 4.0 License. For more information, see