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Deep learning-based frequency-selective channel estimation for hybrid mm wave MIMO systems

Deep learning-based frequency-selective channel estimation for hybrid mm wave MIMO systems
Deep learning-based frequency-selective channel estimation for hybrid mm wave MIMO systems

Millimeter wave (mmWave) massive multiple-input multiple-output (MIMO) systems typically employ hybrid mixed signal processing to avoid expensive hardware and high training overheads. However, the lack of fully digital beamforming at mmWave bands imposes additional challenges in channel estimation. Prior art on hybrid architectures has mainly focused on greedy optimization algorithms to estimate frequency-flat narrowband mmWave channels, despite the fact that in practice, the large bandwidth associated with mmWave channels results in frequency-selective channels. In this paper, we consider a frequency-selective wideband mmWave system and propose two deep learning (DL) compressive sensing (CS) based algorithms for channel estimation. The proposed algorithms learn critical apriori information from training data to provide highly accurate channel estimates with low training overhead. In the first approach, a DL-CS based algorithm simultaneously estimates the channel supports in the frequency domain, which are then used for channel reconstruction. The second approach exploits the estimated supports to apply a low-complexity multi-resolution fine-tuning method to further enhance the estimation performance. Simulation results demonstrate that the proposed DL-based schemes significantly outperform conventional orthogonal matching pursuit (OMP) techniques in terms of the normalized mean-squared error (NMSE), computational complexity, and spectral efficiency, particularly in the low signal-to-noise ratio regime. When compared to OMP approaches that achieve an NMSE gap of 4-10dB with respect to the Cramer Rao Lower Bound (CRLB), the proposed algorithms reduce the CRLB gap to only 1-1.5dB, while reducing complexity by two orders of magnitude.

channel estimation, compressive sensing, convolutional neural networks, Deep learning, denoising, frequency-selective channel, MIMO, mmWave, sparse recovery
1536-1276
3804-3821
Abdallah, Asmaa
86b80268-48be-4bc8-9577-c989e496e459
Celik, Abdulkadir
f8e72266-763c-4849-b38e-2ea2f50a69d0
Mansour, Mohammad M.
d26c1cf6-ff88-4871-9999-624781b0de3b
Eltawil, Ahmed M.
5eb9e965-5ec8-4da1-baee-c3cab0fb2a72
Abdallah, Asmaa
86b80268-48be-4bc8-9577-c989e496e459
Celik, Abdulkadir
f8e72266-763c-4849-b38e-2ea2f50a69d0
Mansour, Mohammad M.
d26c1cf6-ff88-4871-9999-624781b0de3b
Eltawil, Ahmed M.
5eb9e965-5ec8-4da1-baee-c3cab0fb2a72

Abdallah, Asmaa, Celik, Abdulkadir, Mansour, Mohammad M. and Eltawil, Ahmed M. (2022) Deep learning-based frequency-selective channel estimation for hybrid mm wave MIMO systems. IEEE Transactions on Wireless Communications, 21 (6), 3804-3821. (doi:10.1109/TWC.2021.3124202).

Record type: Article

Abstract

Millimeter wave (mmWave) massive multiple-input multiple-output (MIMO) systems typically employ hybrid mixed signal processing to avoid expensive hardware and high training overheads. However, the lack of fully digital beamforming at mmWave bands imposes additional challenges in channel estimation. Prior art on hybrid architectures has mainly focused on greedy optimization algorithms to estimate frequency-flat narrowband mmWave channels, despite the fact that in practice, the large bandwidth associated with mmWave channels results in frequency-selective channels. In this paper, we consider a frequency-selective wideband mmWave system and propose two deep learning (DL) compressive sensing (CS) based algorithms for channel estimation. The proposed algorithms learn critical apriori information from training data to provide highly accurate channel estimates with low training overhead. In the first approach, a DL-CS based algorithm simultaneously estimates the channel supports in the frequency domain, which are then used for channel reconstruction. The second approach exploits the estimated supports to apply a low-complexity multi-resolution fine-tuning method to further enhance the estimation performance. Simulation results demonstrate that the proposed DL-based schemes significantly outperform conventional orthogonal matching pursuit (OMP) techniques in terms of the normalized mean-squared error (NMSE), computational complexity, and spectral efficiency, particularly in the low signal-to-noise ratio regime. When compared to OMP approaches that achieve an NMSE gap of 4-10dB with respect to the Cramer Rao Lower Bound (CRLB), the proposed algorithms reduce the CRLB gap to only 1-1.5dB, while reducing complexity by two orders of magnitude.

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More information

Published date: 1 June 2022
Additional Information: Publisher Copyright: © 2002-2012 IEEE.
Keywords: channel estimation, compressive sensing, convolutional neural networks, Deep learning, denoising, frequency-selective channel, MIMO, mmWave, sparse recovery

Identifiers

Local EPrints ID: 504482
URI: http://eprints.soton.ac.uk/id/eprint/504482
ISSN: 1536-1276
PURE UUID: df816381-ea6b-4580-9e93-849869a02158
ORCID for Abdulkadir Celik: ORCID iD orcid.org/0000-0001-9007-9979

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Date deposited: 09 Sep 2025 20:13
Last modified: 10 Sep 2025 13:50

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Contributors

Author: Asmaa Abdallah
Author: Abdulkadir Celik ORCID iD
Author: Mohammad M. Mansour
Author: Ahmed M. Eltawil

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