alternating direction method of multipliers; alternating optimization; angle-of-departure estimation; Hybrid beamforming; hybrid precoder; phase shifter; Electrical and Electronic Engineering
Abstract :
[en] Hybrid analog-digital beamforming stands out as a key enabler for future communication systems with a massive number of antennas. In this paper, we investigate the hybrid precoder design problem for angle-of-departure (AoD) estimation, where we take into account the practical constraint on the limited resolution of phase shifters. Our goal is to design a radio-frequency (RF) precoder and a base-band (BB) precoder to estimate AoD of the user with high accuracy. To this end, we propose a two-step strategy where we first obtain the fully digital precoder that minimizes the angle error bound, and then the resulting digital precoder is decomposed into an RF precoder and a BB precoder, based on the alternating optimization and the alternating direction method of multipliers. Furthermore, we derive the quantization error upper bound and provide convergence conditions for the proposed algorithm. Numerical results demonstrate the superior performance of the proposed method over state-of-the-art baselines.
Disciplines :
Electrical & electronics engineering
Author, co-author :
Huang, Huiping ; Chalmers University of Technology, Department of Electrical Engineering, Gothenburg, Sweden
Keskin, Musa Furkan ; Chalmers University of Technology, Department of Electrical Engineering, Gothenburg, Sweden
Wymeersch, Henk ; Chalmers University of Technology, Department of Electrical Engineering, Gothenburg, Sweden
Cai, Xuesong ; Lund University, Department of Electrical and Information Technology, Lund, Sweden
WU, Linlong ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > SPARC
Thunberg, Johan; Lund University, Department of Electrical and Information Technology, Lund, Sweden
Tufvesson, Fredrik ; Lund University, Department of Electrical and Information Technology, Lund, Sweden
External co-authors :
yes
Language :
English
Title :
Hybrid Precoder Design for Angle-of-Departure Estimation with Limited-Resolution Phase Shifters
Publication date :
2024
Journal title :
IEEE Transactions on Communications
ISSN :
0090-6778
eISSN :
1558-0857
Publisher :
Institute of Electrical and Electronics Engineers Inc.
HORIZON EUROPE Marie Sklodowska-Curie Actions VINNOVA Vetenskapsr?det
Funding text :
This paper is supported by the Vinnova B5GPOS Project under Grant 2022-01640, HORIZON-MSCA NEAT-6G Project under Grant 101152670, and the Swedish Research Council grant 2022-03007.
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Bibliography
R. W. Heath, N. González-Prelcic, S. Rangan, W. Roh, and A. M. Sayeed, "An overview of signal processing techniques for millimeter wave MIMO systems," IEEE J. Sel. Top. Signal Process., vol. 10, no. 3, pp. 436-453, April 2016.
Y. Ge, O. Kaltiokallio, H. Kim, J. Talvitie, S. Kim, L. Svensson, M. Valkama, and H. Wymeersch, "MmWave mapping and SLAM for 5G and beyond," in Integrated Sensing and Communications, F. Liu, C. Masouros, and Y. C. Eldar, Eds. Singapore: Springer Nature Singapore, 2023, pp. 445-475.
S. Weng, F. Jiang, and H. Wymeersch, "Wideband mmWave massive MIMO channel estimation and localization," IEEE Wireless Commun. Lett., vol. 12, no. 8, pp. 1314-1318, August 2023.
M. A. Nazari, G. Seco-Granados, P. Johannisson, and H. Wymeersch, "mmWave 6D radio localization with a snapshot observation from a single BS," IEEE Trans. Veh. Technol., vol. 72, no. 7, pp. 8914-8928, July 2023.
H. Chen, H. Sarieddeen, T. Ballal, H. Wymeersch, M.-S. Alouini, and T. Y. Al-Naffouri, "A tutorial on terahertz-band localization for 6G communication systems," IEEE Commun. Surv. Tutor., vol. 24, no. 3, pp. 1780-1815, May 2022.
Z. Chen, X. Ma, B. Zhang, Y. Zhang, Z. Niu, N. Kuang, W. Chen, L. Li, and S. Li, "A survey on terahertz communications," China Commun., vol. 16, no. 2, pp. 1-35, February 2019.
V. Petrov, T. Kurner, and I. Hosako, "IEEE 802.15.3d: First standardization efforts for sub-terahertz band communications toward 6G," IEEE Commun. Mag., vol. 58, no. 11, pp. 28-33, November 2020.
X. Cai, X. Cheng, and F. Tufvesson, "Toward 6G with terahertz communications: Understanding the propagation channels," IEEE Commun. Mag., vol. 62, no. 2, pp. 32-38, February 2024.
C. Studer and G. Durisi, "Quantized massive MU-MIMO-OFDM uplink," IEEE Trans. Commun., vol. 64, no. 6, pp. 2387-2399, June 2016.
S. Jacobsson, G. Durisi, M. Coldrey, T. Goldstein, and C. Studer, "Quantized precoding for massive MU-MIMO," IEEE Trans. Commun., vol. 65, no. 11, pp. 4670-4684, November 2017.
E. Björnson, L. Sanguinetti, H. Wymeersch, J. Hoydis, and T. L. Marzetta, "Massive MIMO is a reality-What is next: Five promising research directions for antenna arrays," Digit. Signal Process., vol. 94, pp. 3-20, November 2019.
M. F. Keskin, C. Marcus, O. Eriksson, A. Alvarado, J. Widmer, and H. Wymeersch, "Integrated sensing and communications with MIMOOTFS: ISI/ICI exploitation and delay-doppler multiplexing," IEEE Trans. Wirel. Commun., vol. 23, no. 8, pp. 10 229-10 246, August 2024.
T. Wei, Z. Cheng, and B. Liao, "Transmit beampattern synthesis for MIMO radar with one-bit digital-to-analog converters," Signal Process., vol. 188, p. 108228, November 2021.
Z. Gao, L. Dai, D. Mi, Z. Wang, M. A. Imran, and M. Z. Shakir, "MmWave massive-MIMO-based wireless backhaul for the 5G ultradense network," IEEE Wirel. Commun., vol. 22, no. 5, pp. 13-21, October 2015.
A. F. Molisch, V. V. Ratnam, S. Han, Z. Li, S. L. H. Nguyen, L. Li, and K. Haneda, "Hybrid beamforming for massive MIMO: A survey," IEEE Commun. Mag., vol. 55, no. 9, pp. 134-141, December 2017.
H. Li, M. Li, and Q. Liu, "Hybrid beamforming with dynamic subarrays and low-resolution PSs for mmWave MU-MISO systems," IEEE Trans. Commun., vol. 68, no. 1, pp. 602-614, January 2020.
S. Lyu, Z. Wang, Z. Gao, H. He, and L. Hanzo, "Lattice-based mmWave hybrid beamforming," IEEE Trans. Commun., vol. 69, no. 7, pp. 4907-4920, July 2021.
J.-C. Chen, "Hybrid beamforming with discrete phase shifters for millimeter-wave massive MIMO systems," IEEE Trans. Veh. Technol., vol. 66, no. 8, pp. 7604-7608, August 2017.
Z. Wang, M. Li, Q. Liu, and A. L. Swindlehurst, "Hybrid precoder and combiner design with low-resolution phase shifters in mmWave MIMO systems," IEEE J. Sel. Top. Signal Process., vol. 12, no. 2, pp. 256-269, May 2018.
A. N. Uwaechia, N. M. Mahyuddin, M. F. Ain, N. M. Abdul Latiff, and N. F. Za'bah, "On the spectral-efficiency of low-complexity and resolution hybrid precoding and combining transceivers for mmWave MIMO systems," IEEE Access, vol. 7, pp. 109 259-109 277, August 2019.
H. Li, M. Li, Q. Liu, and A. L. Swindlehurst, "Dynamic hybrid beamforming with low-resolution PSs for wideband mmWave MIMOOFDM systems," IEEE J. Sel. Areas Commun., vol. 38, no. 9, pp. 2168-2181 September 2020.
X. Zhang, A. Molisch, and S.-Y. Kung, "Variable-phase-shift-based RFbaseband codesign for MIMO antenna selection," IEEE Trans. Signal Process., vol. 53, no. 11, pp. 4091-4103, November 2005.
O. E. Ayach, S. Rajagopal, S. Abu-Surra, Z. Pi, and R. W. Heath, "Spatially sparse precoding in millimeter wave MIMO systems," IEEE Trans. Wirel. Commun., vol. 13, no. 3, pp. 1499-1513, March 2014.
C.-J. Wang, C.-K. Wen, S. Jin, and S.-H. Tsai, "Finite-alphabet precoding for massive MU-MIMO with low-resolution DACs," IEEE Trans. Wirel. Commun., vol. 17, no. 7, pp. 4706-4720, July 2018.
F. Dong, W. Wang, and Z. Wei, "Low-complexity hybrid precoding for multi-user mmWave systems with low-resolution phase shifters," IEEE Trans. Veh. Technol., vol. 68, no. 10, pp. 9774-9784, October 2019.
R. Zhang, W. Zou, Y. Wang, and M. Cui, "Hybrid precoder and combiner design with finite resolution PSs for mmWave MIMO systems," China Commun., vol. 16, no. 2, pp. 95-104, February 2019.
E. Zhang and C. Huang, "On achieving optimal rate of digital precoder by RF-baseband codesign for MIMO systems," in Proc. IEEE Veh. Technol. Conf., Vancouver, Canada September 2014, pp. 1-5.
X. Yu, J.-C. Shen, J. Zhang, and K. B. Letaief, "Alternating minimization algorithms for hybrid precoding in millimeter wave MIMO systems," IEEE J. Sel. Top. Signal Process., vol. 10, no. 3, pp. 485-500, April 2016.
X. Gao, L. Dai, S. Han, C.-L. I, and R. W. Heath, "Energy-efficient hybrid analog and digital precoding for mmWave MIMO systems with large antenna arrays," IEEE J. Sel. Areas Commun., vol. 34, no. 4, pp. 998-1009, April 2016.
F. Sohrabi and W. Yu, "Hybrid beamforming with finite-resolution phase shifters for large-scale MIMO systems," in Proc. IEEE Workshop Signal Process. Adv. Wirel. Commun., Stockholm, Sweden, June 2015, pp. 136-140.
F. Sohrabi and W. Yu, "Hybrid digital and analog beamforming design for large-scale antenna arrays," IEEE J. Sel. Top. Signal Process., vol. 10, no. 3, pp. 501-513, April 2016.
Y.-P. Lin, "On the quantization of phase shifters for hybrid precoding systems," IEEE Trans. Signal Process., vol. 65, no. 9, pp. 2237-2246, May 2017.
L. Babai, "On lovász' lattice reduction and the nearest lattice point problem," Combinatorica, vol. 6, pp. 1-13, March 1986.
N. Boumal, An Introduction to Optimization on Smooth Manifolds. Cambridge University Press, 2023.
P.-A. Absil, R. Mahony, and R. Sepulchre, Optimization Algorithms on Matrix Manifolds. USA: Princeton University Press, 2008.
J. Hu, X. Liu, Z.-W. Wen, and Y.-X. Yuan, "A brief introduction to manifold optimization," J. Oper. Res. Soc. China, vol. 8, pp. 199-248, April 2020.
T. Lin, X. Zhou, Y. Zhu, and Y. Jiang, "Hybrid beamforming optimization for DOA estimation based on the CRB analysis," IEEE Signal Process. Lett., vol. 28, pp. 1490-1494, June 2021.
R. Rajamäki, S. P. Chepuri, and V. Koivunen, "Hybrid beamforming for active sensing using sparse arrays," IEEE Trans. Signal Process., vol. 68, pp. 6402-6417, October 2020.
Z. Cheng, L. Wu, B. Wang, J. Xie, and H. Li, "Relative entropybased constant-envelope beamforming for target detection in large-scale MIMO radar with low-resoultion ADCs," IEEE Trans. Veh. Technol., vol. 72, no. 8, pp. 10 090-10 106, August 2023.
X. Wang, Z. Fei, J. A. Zhang, and J. Xu, "Partially-connected hybrid beamforming design for integrated sensing and communication systems," IEEE Trans. Commun., vol. 70, no. 10, pp. 6648-6660, October 2022.
X. Zhao, T. Lin, Y. Zhu, and J. Zhang, "Partially-connected hybrid beamforming for spectral efficiency maximization via a weighted MMSE equivalence," IEEE Trans. Wirel. Commun., vol. 20, no. 12, pp. 8218-8232, December 2021.
M. Hui, X. Zhao, T. Lin, and Y. Zhu, "Hybrid beamforming for utility maximization in multiuser broadband millimeter wave systems," IEEE Trans. Veh. Technol., vol. 72, no. 12, pp. 16 042-16 057, December 2023.
S. D. Liyanaarachchi, T. Riihonen, C. B. Barneto, and M. Valkama, "Joint MIMO communications and sensing with hybrid beamforming architecture and OFDM waveform optimization," IEEE Trans. Wirel. Commun., vol. 23, no. 2, pp. 1565-1580, February 2024.
Z. Cheng, L.Wu, B.Wang, M. R. B. Shankar, and B. Ottersten, "Doublephase-shifter based hybrid beamforming for mmWave DFRC in the presence of extended target and clutters," IEEE Trans. Wirel. Commun., vol. 22, no. 6, pp. 3671-3686, June 2023.
N. Garcia, H. Wymeersch, and D. T. M. Slock, "Optimal precoders for tracking the AoD and AoA of a mmWave path," IEEE Trans. Signal Process., vol. 66, no. 21, pp. 5718-5729, November 2018.
M. F. Keskin, F. Jiang, F. Munier, G. Seco-Granados, and H. Wymeersch, "Optimal spatial signal design for mmWave positioning under imperfect synchronization," IEEE Trans. Veh. Technol., vol. 71, no. 5, pp. 5558-5563, May 2022.
J. Li, L. Xu, P. Stoica, K. W. Forsythe, and D. W. Bliss, "Range compression and waveform optimization for MIMO radar: A Cramér-Rao bound based study," IEEE Trans. Signal Process., vol. 56, no. 1, pp. 218-232, January 2008.
M. Deng, Z. Cheng, L. Wu, B. Shankar, and Z. He, "One-bit ADCs/DACs based MIMO radar: Performance analysis and joint design," IEEE Trans. Signal Process., vol. 70, pp. 2609-2624, May 2022.
S. Kutty and D. Sen, "Beamforming for millimeter wave communications: An inclusive survey," IEEE Commun. Surveys Tuts., vol. 18, no. 2, pp. 949-973, 2016.
N. Garcia, H. Wymeersch, E. G. Larsson, A. M. Haimovich, and M. Coulon, "Direct localization for massive MIMO," IEEE Trans. Signal Process., vol. 65, no. 10, pp. 2475-2487, May 2017.
M. Hong, Z.-Q. Luo, and M. Razaviyayn, "Convergence analysis of alternating direction method of multipliers for a family of nonconvex problems," SIAM J. Optim., vol. 26, no. 1, pp. 337-364, January 2016.
S. Boyd, N. Parikh, E. Chu, B. Peleato, and J. Eckstein, "Distributed optimization and statistical learning via the alternating direction method of multipliers," Found. Trends Mach. Learn., vol. 3, no. 1, pp. 1-122, January 2011.
K. Huang and N. D. Sidiropoulos, "Consensus-ADMM for general quadratically constrained quadratic programming," IEEE Trans. Signal Process., vol. 64, no. 20, pp. 5297-5310, October 2016.
H. Huang, H. C. So, and A. M. Zoubir, "Sparse array beamformer design via ADMM," IEEE Trans. Signal Process., vol. 71, pp. 3357-3372 September 2023.
H. Huang, H. C. So, and A. M. Zoubir, "Convergence analysis of consensus-ADMM for general QCQP," Signal Process., vol. 208, p. 108991, July 2023.
L. Wu, X. Cheng, H. Huang, D. Ciuonzo, B. Shankar, and B. Ottersten, "Constant-modulus waveform design with polarization-adaptive power allocation in polarimetric radar," IEEE Trans. Signal Process., vol. 71, pp. 2146-2161, June 2023.
A. Fascista, A. Coluccia, H. Wymeersch, and G. Seco-Granados, "Millimeter-wave downlink positioning with a single-antenna receiver," IEEE Trans. Wirel. Commun., vol. 18, no. 9, pp. 4479-4490September 2019.
Q. Hu, Y. Cai, K. Kang, G. Yu, J. Hoydis, and Y. C. Eldar, "Twotimescale end-to-end learning for channel acquisition and hybrid precoding," IEEE J. Sel. Areas Commun., vol. 40, no. 1, pp. 163-181, January 2022.
A. Liu, V. K. N. Lau, and M.-J. Zhao, "Stochastic successive convex optimization for two-timescale hybrid precoding in massive MIMO," IEEE J. Sel. Top. Signal Process., vol. 12, no. 3, pp. 432-444, June 2018.
A. Alkhateeb, O. El Ayach, G. Leus, and R. W. Heath, "Channel estimation and hybrid precoding for millimeter wave cellular systems," IEEE J. Sel. Top. Signal Process., vol. 8, no. 5, pp. 831-846, October 2014.
S. Kay, Fundamentals of Statistical Signal Processing, Volume 3, ser. Fundamentals of statistical signal processing. Prentice Hall PTR, 2017.
H. Anton, Elementary Linear Algebra. Wiley, 1994.
N. Garcia, H. Wymeersch, E. G. Ström, and D. Slock, "Location-aided mm-wave channel estimation for vehicular communication," in Proc. IEEE Workshop Signal Process. Adv. Wirel. Commun., Edinburgh, UK, July 2016, pp. 1-5.
U. Nickel, "Overview of generalized monopulse estimation," IEEE Aerosp. Electron. Syst. Mag., vol. 21, no. 6, pp. 27-56, June 2006.
N. Boumal, B. Mishra, P.-A. Absil, and R. Sepulchre, "Manopt, a Matlab toolbox for optimization on manifolds," J. Mach. Learn. Res., vol. 15, no. 42, pp. 1455-1459, 2014.
W. Rudin, "Chapter 3-Numerical sequences and series," in Principles of mathematical analysis. McGraw-Hill Book C., 1986, pp. 47-78.
E. K. Ryu and S. P. Boyd, "A primer on monotone operator methods," Appl. Comput. Math., vol. 15, no. 1, pp. 3-43, 2016.
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