Channel Estimation for Mixed-Analog to Digital Converters Architecture in Massive MIMO Architecture Using Approximate Conjugate Gradient Pursuit Algorithm
DOI:
https://doi.org/10.29194/NJES.28020296Keywords:
Massive MIMO, mmWave, Channel Estimation, 6GAbstract
Millimeter Wave (mmWave) Massive Multiple Input Multiple Out (MIMO) system is a key technology for future wireless transmission. The system's architecture can differ based on the type of Analog-to-Digital Converters (ADCs) used at the receiver, whether they are all low-resolution or a mix of different resolutions (Mixed-ADCs). Mixed-ADCs is a promising solution to achieve better performance than low-resolution ADC-only architectures by leveraging high-resolution ADCs to capture critical signal components while maintaining energy efficiency through low-resolution ADCs. In this paper, the problem of channel estimation for this system architecture is taken into consideration. A novel compressive-sensing based algorithm, that is called Approximate Conjugate Gradient Pursuit (ACGP), is proposed to estimate the channel coefficients. The performance of the proposed algorithm is investigated under varying system parameters, including different Signal-to-Noise Ratios (SNR), Radio Frequency (RF) chains, ADC resolutions, and numbers of observation frames. Matlab software was used to perform numerical simulations. The results demonstrated that mixed-ADCs architecture outperforms low resolutions only in performance. It was found that ACGP achieves lower Minimum Mean Squared Error (MMSE) compared to Orthogonal Matching Pursuit (OMP) and Least Square (LS), particularly in low SNR conditions showcasing its robustness and efficiency in signal reconstruction, achieving an average enhancement of 30% to 50% at moderate SNR levels. While OMP exhibited faster computation times under various number of observation frames, ACGP maintained stable computational performance, with a slight increase in computation time. For applications where accurate channel estimation is required under noisy environment, the proposed algorithm is an effective choice to meet such requirements.
Downloads
References
R. Zhang, L. Yang, M. Tang, W. Tan, and J. Zhao, “Channel Estimation for mmWave Massive MIMO Systems With Mixed-ADC Architecture,” IEEE Open Journal of the Communications Society, vol. 4, pp. 606–613, 2023, doi: 10.1109/OJCOMS.2023.3242668.
H. Wang, P. Xiao, and X. Li, “Channel Parameter Estimation of mmWave MIMO System in Urban Traffic Scene: A Training Channel-Based Method,” IEEE Transactions on Intelligent Transportation Systems, vol. 25, no. 1, pp. 754–762, Jan. 2024, doi: 10.1109/TITS.2022.3145363.
S. Hamid et al., “Hybrid Beamforming in Massive MIMO for Next-Generation Communication Technology,” Sensors, vol. 23, no. 16, 2023, doi: 10.3390/s23167294.
Z. Wan, Z. Gao, B. Shim, K. Yang, G. Mao, and M. S. Alouini, “Compressive Sensing Based Channel Estimation for Millimeter-Wave Full-Dimensional MIMO with Lens-Array,” IEEE Transactions on Vehicular Technology, vol. 69, no. 2, pp. 2337–2342, Feb. 2020, doi: 10.1109/TVT.2019.2962242.
Q. Wan, J. Fang, H. Duan, Z. Chen, and H. Li, “Generalized Bussgang LMMSE Channel Estimation for One-Bit Massive MIMO Systems,” IEEE Transactions on Wireless Communications, vol. 19, no. 6, pp. 4234–4246, Jun. 2020, doi: 10.1109/TWC.2020.2981599.
I. Osama, M. Rihan, M. Elhefnawy, S. Eldolil, and H. A. E. A. Malhat, “A Review on Precoding Techniques for mm-Wave Massive MIMO Wireless Systems,” International Journal of Communication Networks and Information Security, vol. 14, no. 1, 2022, doi: 10.17762/ijcnis.v14i1.5206.
A. Singh and S. Joshi, “A Survey on Hybrid Beamforming in MmWave Massive MIMO System,” Journal of scientific research, vol. 65, no. 01, 2021, doi: 10.37398/jsr.2021.650126.
K. Venugopal, A. Alkhateeb, N. Gonzalez Prelcic, and R. W. Heath, “Channel Estimation for Hybrid Architecture-Based Wideband Millimeter Wave Systems,” IEEE Journal on Selected Areas in Communications, vol. 35, no. 9, pp. 1996–2009, Sep. 2017, doi: 10.1109/JSAC.2017.2720856.
S. Park and R. W. Heath, “Spatial channel covariance estimation for mmWave hybrid MIMO architecture,” 2016 50th Asilomar Conference on Signals, Systems and Computers, Pacific Grove, CA, USA, 2017, pp. 1424–1428. doi: 10.1109/ACSSC.2016.7869611.
Y. Dong, C. Chen, and Y. Jin, “AoAs and AoDs estimation for sparse millimeter wave channels with one-bit ADCs,” 2016 8th International Conference on Wireless Communications & Signal Processing (WCSP), Yangzhou, China, 2016, pp. 1–5, doi: 10.1109/WCSP.2016.7752451.
H. Pirzadeh and A. L. Swindlehurst, “Spectral efficiency of mixed-ADC massive MIMO,” IEEE Transactions on Signal Processing, vol. 66, no. 13, pp. 3599–3613, Jul. 2018, doi: 10.1109/TSP.2018.2833807.
W. Tan, S. Li, and M. Zhou, “Spectral and energy efficiency for uplink massive MIMO systems with mixed-ADC architecture,” Physical Communication, vol. 50, 2022, doi: 10.1016/j.phycom.2021.101516.
J. Lee, G. T. Gil, and Y. H. Lee, “Channel Estimation via Orthogonal Matching Pursuit for Hybrid MIMO Systems in Millimeter Wave Communications,” IEEE Transactions on Communications, vol. 64, no. 6, pp. 2370–2386, Jun. 2016, doi: 10.1109/TCOMM.2016.2557791.
L. Weiland, C. Stockle, M. Wurth, T. Weinberger, and W. Utschick, “OMP with grid-less refinement steps for compressive mmwave MIMO channel estimation,” 2018 IEEE 10th Sensor Array and Multichannel Signal Processing Workshop (SAM), Sheffield, UK, 2018, pp. 543–547, doi: 10.1109/SAM.2018.8448789.
X. Liu et al., “Efficient Channel Estimator with Angle-Division Multiple Access,” IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 66, no. 2, pp. 708–718, Feb. 2019, doi: 10.1109/TCSI.2018.2869783.
H. Kim, G. T. Gil, and Y. H. Lee, “Two-step approach to time-domain channel estimation for wideband millimeter wave systems with hybrid architecture,” IEEE Transactions on Communications, vol. 67, no. 7, pp. 5139–5152, Jul. 2019, doi: 10.1109/TCOMM.2019.2906873.
J. Rodriguez-Fernandez, N. Gonzalez-Prelcic, K. Venugopal, and R. W. Heath, “Frequency-Domain Compressive Channel Estimation for Frequency-Selective Hybrid Millimeter Wave MIMO Systems,” IEEE Transactions on Wireless Communications, vol. 17, no. 5, pp. 2946–2960, May 2018, doi: 10.1109/TWC.2018.2804943.
C. Hu, L. Dai, T. Mir, Z. Gao, and J. Fang, “Super-resolution channel estimation for mmWave massive MIMO with hybrid precoding,” IEEE Transactions on Vehicular Technology, vol. 67, no. 9, pp. 8954–8958, Sep. 2018, doi: 10.1109/TVT.2018.2842724.
T. Wang, C. K. Wen, S. Jin, and G. Y. Li, “Deep Learning-Based CSI Feedback Approach for Time-Varying Massive MIMO Channels,” IEEE Wireless Communications Letters, vol. 8, no. 2, pp. 416–419, Apr. 2019, doi: 10.1109/LWC.2018.2874264.
H. He, C. K. Wen, S. Jin, and G. Y. Li, “Deep Learning-Based Channel Estimation for Beamspace mmWave Massive MIMO Systems,” IEEE Wireless Communications Letters, vol. 7, no. 5, pp. 852–855, Oct. 2018, doi: 10.1109/LWC.2018.2832128.
S. Moon, H. Kim, and I. Hwang, “Deep learning-based channel estimation and tracking for millimeter-wave vehicular communications,” Journal of Communications and Networks, vol. 22, no. 3, pp. 177–184, Jun. 2020, doi: 10.1109/JCN.2020.000012.
T. Blumensath and M. E. Davies, “In Greedy Pursuit of New Directions: (Nearly) Orthogonal Matching Pursuit by Directional Optimisation,” in 2007 15th European Signal Processing Conference, Poznan, Poland, 2007, pp. 340–344.
Y. Azar et al., “28 GHz propagation measurements for outdoor cellular communications using steerable beam antennas in New York city,” 2013 IEEE International Conference on Communications (ICC), Budapest, Hungary, 2013, pp. 5143–5147. doi: 10.1109/ICC.2013.6655399.
M. K. Samimi and T. S. Rappaport, “Ultra-wideband statistical channel model for non-line of sight millimeter-wave urban channels,” in 2014 IEEE Global Communications Conference, Austin, TX, USA, 2014, pp. 3483–3489, doi: 10.1109/GLOCOM.2014.7037347.
J. Sung, J. Choi, and B. L. Evans, “Narrowband Channel Estimation for Hybrid Beamforming Millimeter Wave Communication Systems with One-bit Quantization,” 2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Calgary, AB, 2018, pp. 3914–3918, doi: 10.1109/ICASSP.2018.8462337.
Downloads
Published
Issue
Section
License
Copyright (c) 2025 Yaseen A. Mohammed Obaidi, Anas L. Mahmood

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
The authors retain the copyright of their manuscript by submitting the work to this journal, and all open access articles are distributed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International (CC-BY-NC 4.0), which permits use for any non-commercial purpose, distribution, and reproduction in any medium, provided that the original work is properly cited.