Hybrid Precoder Design for Angle-of-Departure Estimation With Limited-Resolution Phase Shifters

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 limit...

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Published in:IEEE transactions on communications Vol. 73; no. 6; pp. 4439 - 4453
Main Authors: Huang, Huiping, Furkan Keskin, Musa, Wymeersch, Henk, Cai, Xuesong, Wu, Linlong, Thunberg, Johan, Tufvesson, Fredrik
Format: Journal Article
Language:English
Published: New York IEEE 2025
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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ISSN:0090-6778, 1558-0857, 1558-0857
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Abstract 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.
AbstractList 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.
Author Cai, Xuesong
Wu, Linlong
Tufvesson, Fredrik
Wymeersch, Henk
Furkan Keskin, Musa
Thunberg, Johan
Huang, Huiping
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  surname: Furkan Keskin
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Cites_doi 10.1109/TVT.2023.3294935
10.1109/TWC.2022.3220368
10.1109/TWC.2021.3091524
10.1109/TCOMM.2019.2950905
10.12676/j.cc.2019.02.001
10.1109/JSTSP.2018.2819129
10.1007/BF02579403
10.1109/TVT.2022.3149974
10.1109/TWC.2024.3370501
10.1109/MCOM.001.2000273
10.1109/TSP.2016.2593681
10.1109/TSP.2022.3176953
10.1109/JSAC.2016.2549418
10.1109/SPAWC.2015.7227015
10.1109/TVT.2017.2670638
10.1109/TSP.2016.2646659
10.1109/TWC.2014.011714.130846
10.1109/TSP.2007.901653
10.1016/j.sigpro.2023.108991
10.1017/9781009166164
10.1109/TSP.2023.3315448
10.1109/JSTSP.2016.2523924
10.1109/JSTSP.2014.2334278
10.1016/j.sigpro.2021.108228
10.1109/TVT.2019.2933058
10.1109/TCOMM.2021.3075248
10.1109/JSAC.2020.3000878
10.1007/978-981-99-2501-8_16
10.1109/MCOM.2017.1600400
10.1109/TSP.2020.3032657
10.1109/TWC.2018.2830343
10.1109/VTCFall.2014.6966076
10.1109/TSP.2005.857024
10.1137/140990309
10.1109/TVT.2023.3246303
10.1109/MCOM.001.2200386
10.12676/j.cc.2019.02.007
10.1109/TSP.2018.2870368
10.1109/TCOMM.2016.2558151
10.1109/JSTSP.2016.2520912
10.1109/MAES.2006.1662039
10.1109/JSAC.2021.3126050
10.1109/ACCESS.2019.2933785
10.1109/TWC.2019.2925618
10.1109/TWC.2023.3290326
10.1515/9781400830244
10.1109/TSP.2017.2666779
10.1109/LSP.2021.3092613
10.1561/2200000016
10.1109/TCOMM.2017.2723000
10.1109/MWC.2015.7306533
10.1109/TVT.2023.3253826
10.1016/j.dsp.2019.06.007
10.1109/TSP.2023.3282705
10.1109/COMST.2015.2504600
10.1109/COMST.2022.3178209
10.1109/TCOMM.2022.3202215
10.1007/s40305-020-00295-9
10.1109/SPAWC.2016.7536855
10.1109/JSTSP.2016.2523903
10.1109/JSTSP.2018.2819084
10.1109/LWC.2023.3270160
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References ref13
ref57
ref12
ref56
ref15
ref59
ref14
ref58
ref53
Boumal (ref65) 2014; 15
ref52
ref11
ref55
ref10
ref54
ref17
ref16
ref19
ref18
ref51
ref50
ref46
ref45
ref48
ref47
ref42
ref41
ref44
ref43
ref49
ref8
ref7
ref9
ref4
ref3
ref6
ref5
Rudin (ref66) 1986
ref40
Ryu (ref67) 2016; 15
ref35
ref34
ref37
ref36
ref31
ref30
ref33
ref32
ref2
ref1
ref39
ref38
ref24
ref23
Kay (ref61) 2017; 3
ref26
ref25
ref20
ref64
ref63
ref22
ref21
ref28
ref27
ref29
Anton (ref62) 1994
ref60
References_xml – ident: ref42
  doi: 10.1109/TVT.2023.3294935
– ident: ref44
  doi: 10.1109/TWC.2022.3220368
– ident: ref41
  doi: 10.1109/TWC.2021.3091524
– ident: ref16
  doi: 10.1109/TCOMM.2019.2950905
– volume: 15
  start-page: 1455
  year: 2014
  ident: ref65
  article-title: Manopt, a MATLAB toolbox for optimization on manifolds
  publication-title: J. Mach. Learn. Res.
– ident: ref6
  doi: 10.12676/j.cc.2019.02.001
– volume: 3
  volume-title: Fundamentals of Statistical Signal Processing
  year: 2017
  ident: ref61
– ident: ref19
  doi: 10.1109/JSTSP.2018.2819129
– ident: ref33
  doi: 10.1007/BF02579403
– ident: ref46
  doi: 10.1109/TVT.2022.3149974
– ident: ref12
  doi: 10.1109/TWC.2024.3370501
– ident: ref7
  doi: 10.1109/MCOM.001.2000273
– ident: ref53
  doi: 10.1109/TSP.2016.2593681
– ident: ref48
  doi: 10.1109/TSP.2022.3176953
– ident: ref29
  doi: 10.1109/JSAC.2016.2549418
– ident: ref30
  doi: 10.1109/SPAWC.2015.7227015
– ident: ref18
  doi: 10.1109/TVT.2017.2670638
– ident: ref32
  doi: 10.1109/TSP.2016.2646659
– ident: ref23
  doi: 10.1109/TWC.2014.011714.130846
– ident: ref47
  doi: 10.1109/TSP.2007.901653
– ident: ref55
  doi: 10.1016/j.sigpro.2023.108991
– ident: ref34
  doi: 10.1017/9781009166164
– volume-title: Elementary Linear Algebra
  year: 1994
  ident: ref62
– ident: ref54
  doi: 10.1109/TSP.2023.3315448
– ident: ref1
  doi: 10.1109/JSTSP.2016.2523924
– ident: ref60
  doi: 10.1109/JSTSP.2014.2334278
– ident: ref13
  doi: 10.1016/j.sigpro.2021.108228
– ident: ref25
  doi: 10.1109/TVT.2019.2933058
– ident: ref17
  doi: 10.1109/TCOMM.2021.3075248
– ident: ref21
  doi: 10.1109/JSAC.2020.3000878
– ident: ref2
  doi: 10.1007/978-981-99-2501-8_16
– ident: ref15
  doi: 10.1109/MCOM.2017.1600400
– ident: ref38
  doi: 10.1109/TSP.2020.3032657
– ident: ref24
  doi: 10.1109/TWC.2018.2830343
– ident: ref27
  doi: 10.1109/VTCFall.2014.6966076
– volume: 15
  start-page: 3
  issue: 1
  year: 2016
  ident: ref67
  article-title: A primer on monotone operator methods
  publication-title: Appl. Comput. Math.
– ident: ref22
  doi: 10.1109/TSP.2005.857024
– ident: ref51
  doi: 10.1137/140990309
– ident: ref4
  doi: 10.1109/TVT.2023.3246303
– ident: ref8
  doi: 10.1109/MCOM.001.2200386
– ident: ref26
  doi: 10.12676/j.cc.2019.02.007
– ident: ref45
  doi: 10.1109/TSP.2018.2870368
– ident: ref9
  doi: 10.1109/TCOMM.2016.2558151
– ident: ref31
  doi: 10.1109/JSTSP.2016.2520912
– ident: ref64
  doi: 10.1109/MAES.2006.1662039
– ident: ref58
  doi: 10.1109/JSAC.2021.3126050
– ident: ref20
  doi: 10.1109/ACCESS.2019.2933785
– ident: ref57
  doi: 10.1109/TWC.2019.2925618
– ident: ref43
  doi: 10.1109/TWC.2023.3290326
– ident: ref35
  doi: 10.1515/9781400830244
– ident: ref50
  doi: 10.1109/TSP.2017.2666779
– ident: ref37
  doi: 10.1109/LSP.2021.3092613
– ident: ref52
  doi: 10.1561/2200000016
– ident: ref10
  doi: 10.1109/TCOMM.2017.2723000
– ident: ref14
  doi: 10.1109/MWC.2015.7306533
– ident: ref39
  doi: 10.1109/TVT.2023.3253826
– ident: ref11
  doi: 10.1016/j.dsp.2019.06.007
– ident: ref56
  doi: 10.1109/TSP.2023.3282705
– ident: ref49
  doi: 10.1109/COMST.2015.2504600
– ident: ref5
  doi: 10.1109/COMST.2022.3178209
– ident: ref40
  doi: 10.1109/TCOMM.2022.3202215
– ident: ref36
  doi: 10.1007/s40305-020-00295-9
– ident: ref63
  doi: 10.1109/SPAWC.2016.7536855
– start-page: 47
  volume-title: Principles of Mathematical Analysis
  year: 1986
  ident: ref66
  article-title: Numerical sequences and series
– ident: ref28
  doi: 10.1109/JSTSP.2016.2523903
– ident: ref59
  doi: 10.1109/JSTSP.2018.2819084
– ident: ref3
  doi: 10.1109/LWC.2023.3270160
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Snippet 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...
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SubjectTerms Accuracy
alternating direction method of multipliers
alternating optimization
angle-of-departure estimation
Antennas
Array signal processing
Beamforming
Communications systems
Electrical Engineering, Electronic Engineering, Information Engineering
Elektroteknik och elektronik
Engineering and Technology
Estimation
Geometry
Hybrid beamforming
hybrid precoder
Millimeter wave communication
Optimization
phase shifter
Phase shifters
Phased arrays
Radio frequency
Signal Processing
Signalbehandling
Teknik
Upper bounds
Title Hybrid Precoder Design for Angle-of-Departure Estimation With Limited-Resolution Phase Shifters
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