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...
Saved in:
| Published in: | IEEE transactions on communications Vol. 73; no. 6; pp. 4439 - 4453 |
|---|---|
| Main Authors: | , , , , , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
New York
IEEE
2025
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subjects: | |
| ISSN: | 0090-6778, 1558-0857, 1558-0857 |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| 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 |
| Author_xml | – sequence: 1 givenname: Huiping orcidid: 0000-0002-9505-3767 surname: Huang fullname: Huang, Huiping email: huiping@chalmers.se organization: Department of Electrical Engineering, Chalmers University of Technology, Gothenburg, Sweden – sequence: 2 givenname: Musa orcidid: 0000-0002-7718-8377 surname: Furkan Keskin fullname: Furkan Keskin, Musa email: furkan@chalmers.se organization: Department of Electrical Engineering, Chalmers University of Technology, Gothenburg, Sweden – sequence: 3 givenname: Henk orcidid: 0000-0002-1298-6159 surname: Wymeersch fullname: Wymeersch, Henk email: henkw@chalmers.se organization: Department of Electrical Engineering, Chalmers University of Technology, Gothenburg, Sweden – sequence: 4 givenname: Xuesong orcidid: 0000-0001-7759-7448 surname: Cai fullname: Cai, Xuesong email: xuesong.cai@eit.lth.se organization: Department of Electrical and Information Technology, Lund University, Lund, Sweden – sequence: 5 givenname: Linlong orcidid: 0000-0003-4521-2026 surname: Wu fullname: Wu, Linlong email: linlong.wu@uni.lu organization: Interdisciplinary Centre for Security, Reliability and Trust (SnT), University of Luxembourg, Luxembourg, Luxembourg – sequence: 6 givenname: Johan orcidid: 0000-0002-9738-4148 surname: Thunberg fullname: Thunberg, Johan email: johan.thunberg@eit.lth.se organization: Department of Electrical and Information Technology, Lund University, Lund, Sweden – sequence: 7 givenname: Fredrik orcidid: 0000-0003-1072-0784 surname: Tufvesson fullname: Tufvesson, Fredrik email: fredrik.tufvesson@eit.lth.se organization: Department of Electrical and Information Technology, Lund University, Lund, Sweden |
| BackLink | https://research.chalmers.se/publication/546613$$DView record from Swedish Publication Index (Chalmers tekniska högskola) |
| BookMark | eNp9kl9rFDEUxQep4Lb6BcSHAZ9nTSbJJHks22qFLS224uMlf266KbMza5JB-u2d3a0ogj4Fwvmdc-_lnFYnwzhgVb2lZEkp0R_uVzfX18uWtHzJuJKCyhfVggqhGqKEPKkWhGjSdFKqV9Vpzo-EEE4YW1Rw9WRT9PVtQjd6TPUF5vgw1GFM9fnw0GMzhuYCdyaVKWF9mUvcmhLHof4Wy6Zex20s6JsvmMd-OvzfbkzG-m4TQ8GUX1cvg-kzvnl-z6qvHy_vV1fN-ubT59X5unG8a0sTXLCae6-d7khAbihRzvNO0tZS21HDBbHcBqZ4qxz3xDmGbWg7aoVCieysujv65h-4myzs0jxneoLRREiY0SS3Abcx_XYeCjKCVh0NOghAjhR4QAGK6RaQeuFEt88Ts6v5p-tuTMX0v837aW87q_roDhfKIKU3FIkDQxnOGZKA7oIFb4OXRFmthZoz3h8zdmn8PmEu8DhOaZiPBaylWinVaTar1FHl0phzwgAulkNMSSb2QAnsiwCHIsC-CPBchBlt_0J_rfFf6N0Rioj4ByCZ5Fyxn-iQw_8 |
| CODEN | IECMBT |
| CitedBy_id | crossref_primary_10_3390_rs17020198 |
| 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 |
| ContentType | Journal Article |
| Copyright | Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2025 |
| Copyright_xml | – notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2025 |
| CorporateAuthor | Lunds universitets profilområden Lunds universitet LTH profilområden Profile areas and other strong research environments Faculty of Engineering, LTH Lunds Tekniska Högskola LU profilområde: Naturlig och artificiell kognition Lund University LU Profile Area: Natural and Artificial Cognition LTH Profile areas ELLIIT: the Linköping-Lund initiative on IT and mobile communication Lund University Profile areas Strategiska forskningsområden (SFO) LTH Profile Area: AI and Digitalization Strategic research areas (SRA) LTH profilområde: AI och digitalisering Profilområden och andra starka forskningsmiljöer |
| CorporateAuthor_xml | – name: ELLIIT: the Linköping-Lund initiative on IT and mobile communication – name: Strategiska forskningsområden (SFO) – name: LU Profile Area: Natural and Artificial Cognition – name: LTH Profile Area: AI and Digitalization – name: Strategic research areas (SRA) – name: Lunds Tekniska Högskola – name: Lunds universitet – name: Lunds universitets profilområden – name: Faculty of Engineering, LTH – name: Lund University Profile areas – name: Profilområden och andra starka forskningsmiljöer – name: LTH Profile areas – name: LTH profilområden – name: Lund University – name: LTH profilområde: AI och digitalisering – name: LU profilområde: Naturlig och artificiell kognition – name: Profile areas and other strong research environments |
| DBID | 97E RIA RIE AAYXX CITATION 7SP 8FD L7M ADTPV AGCHP AOWAS D8T D95 ZZAVC ABBSD F1S |
| DOI | 10.1109/TCOMM.2024.3487517 |
| DatabaseName | IEEE Xplore (IEEE) IEEE All-Society Periodicals Package (ASPP) 1998–Present IEEE Electronic Library (IEL) CrossRef Electronics & Communications Abstracts Technology Research Database Advanced Technologies Database with Aerospace SwePub SWEPUB Lunds universitet full text SwePub Articles SWEPUB Freely available online SWEPUB Lunds universitet SwePub Articles full text SWEPUB Chalmers tekniska högskola full text SWEPUB Chalmers tekniska högskola |
| DatabaseTitle | CrossRef Technology Research Database Advanced Technologies Database with Aerospace Electronics & Communications Abstracts |
| DatabaseTitleList | Technology Research Database |
| Database_xml | – sequence: 1 dbid: RIE name: IEEE Electronic Library (IEL) url: https://ieeexplore.ieee.org/ sourceTypes: Publisher |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EISSN | 1558-0857 |
| EndPage | 4453 |
| ExternalDocumentID | oai_research_chalmers_se_9861f9f5_e4e1_4fe5_8392_e1d5c56450b5 oai_portal_research_lu_se_publications_77da1e0c_a13e_4f70_96fb_dbfd708b9958 10_1109_TCOMM_2024_3487517 10737448 |
| Genre | orig-research |
| GrantInformation_xml | – fundername: Vinnova B5GPOS Project grantid: 2022-01640 – fundername: HORIZON-MSCA NEAT-6G Project grantid: 101152670 – fundername: Strategic Research Area Excellence Center at Linköping–Lund in Information Technology (ELLIIT) – fundername: Swedish Research Council grantid: 2022-03007 – fundername: Wallenberg AI, Autonomous Systems and Software Program (WASP) – fundername: FNR CORE INTER Project SENCOM grantid: C20/IS/14799710/SENCOM – fundername: Knut and Alice Wallenberg Foundation, the Swedish Research Council grantid: 2022-04691 |
| GroupedDBID | -~X .DC 0R~ 29I 3EH 4.4 5GY 5VS 6IK 85S 97E AAJGR AARMG AASAJ AAWTH ABAZT ABFSI ABQJQ ABVLG ACGFO ACGFS ACIWK ACKIV ACNCT AENEX AETIX AGQYO AGSQL AHBIQ AI. AIBXA AKJIK AKQYR ALLEH ALMA_UNASSIGNED_HOLDINGS ASUFR ATWAV BEFXN BFFAM BGNUA BKEBE BPEOZ CS3 DU5 E.L EBS EJD HZ~ H~9 IAAWW IBMZZ ICLAB IES IFIPE IFJZH IPLJI JAVBF LAI M43 MS~ O9- OCL P2P RIA RIE RNS TAE TN5 VH1 ZCA ZCG AAYXX CITATION 7SP 8FD L7M ADTPV AGCHP AOWAS D8T D95 ZZAVC ABBSD F1S |
| ID | FETCH-LOGICAL-c462t-fcfb94dd9c960fe4a108cd46712b1b61a450b4bf38428c4d0cc3e2f261b58e7e3 |
| IEDL.DBID | RIE |
| ISICitedReferencesCount | 0 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001511660800004&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0090-6778 1558-0857 |
| IngestDate | Wed Nov 05 04:10:59 EST 2025 Fri Nov 28 03:14:51 EST 2025 Fri Sep 26 01:10:45 EDT 2025 Tue Nov 18 20:57:54 EST 2025 Sat Nov 29 07:49:53 EST 2025 Wed Aug 27 01:45:54 EDT 2025 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 6 |
| Language | English |
| License | https://ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html https://doi.org/10.15223/policy-029 https://doi.org/10.15223/policy-037 |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c462t-fcfb94dd9c960fe4a108cd46712b1b61a450b4bf38428c4d0cc3e2f261b58e7e3 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ORCID | 0000-0002-9738-4148 0000-0001-7759-7448 0000-0002-7718-8377 0000-0002-1298-6159 0000-0003-4521-2026 0000-0002-9505-3767 0000-0003-1072-0784 |
| OpenAccessLink | https://research.chalmers.se/publication/546613 |
| PQID | 3219888693 |
| PQPubID | 85472 |
| PageCount | 15 |
| ParticipantIDs | swepub_primary_oai_portal_research_lu_se_publications_77da1e0c_a13e_4f70_96fb_dbfd708b9958 crossref_citationtrail_10_1109_TCOMM_2024_3487517 crossref_primary_10_1109_TCOMM_2024_3487517 ieee_primary_10737448 swepub_primary_oai_research_chalmers_se_9861f9f5_e4e1_4fe5_8392_e1d5c56450b5 proquest_journals_3219888693 |
| PublicationCentury | 2000 |
| PublicationDate | 2025 |
| PublicationDateYYYYMMDD | 2025-01-01 |
| PublicationDate_xml | – year: 2025 text: 2025 |
| PublicationDecade | 2020 |
| PublicationPlace | New York |
| PublicationPlace_xml | – name: New York |
| PublicationTitle | IEEE transactions on communications |
| PublicationTitleAbbrev | TCOMM |
| PublicationYear | 2025 |
| Publisher | IEEE The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher_xml | – name: IEEE – name: The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| 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 |
| SSID | ssj0004033 |
| Score | 2.4697552 |
| 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... |
| SourceID | swepub proquest crossref ieee |
| SourceType | Open Access Repository Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 4439 |
| 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 |
| URI | https://ieeexplore.ieee.org/document/10737448 https://www.proquest.com/docview/3219888693 https://research.chalmers.se/publication/546613 |
| Volume | 73 |
| WOSCitedRecordID | wos001511660800004&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVIEE databaseName: IEEE Electronic Library (IEL) customDbUrl: eissn: 1558-0857 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0004033 issn: 1558-0857 databaseCode: RIE dateStart: 19720101 isFulltext: true titleUrlDefault: https://ieeexplore.ieee.org/ providerName: IEEE |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1Lb9QwELZoxQEOPIu6UJAP3FCKHduxfaz6UA-0rEQRFRcrtsdkpdUu2gcS_56xk90uEiBxy8GePMaTmW_smY-Qt1xmyve2qdAVy0omwytrW4UKkaxFxGXraArZhL6-Nre3djwUq5daGAAoh8_gOF-Wvfw4D-ucKkML10Ijntgje1o3fbHWXREkE0PLyXyeXZtNhQyz729OP15dIRas5bHIAXphJ7vzQoVW5fcIc7draPE0F4__8xmfkEdDSElP-jXwlNyD2TPycKfR4HPiLn_myiw6zvg3woKelYMbFCNWejL7NoVqnqoz9EyLvKFAz9Hu-5JG-mWy6uhQBVXlXH-_Uum4Q_dHP3WTzDG-PCCfL85vTi-rgVqhCrKpV1UKyVsZow2IYBLIlrPMYtRoXnvuG95Kxbz0SRiEJ0FGFoKAOiHc8sqABvGC7M_mMzgkFCRGNDVLGFpGqVrpjQLeRjDCm2iYHBG--dQuDH3HM_3F1BX8wawr6nFZPW5Qz4i828753nfd-Ofog6yHnZG9CkbkaKNSN1jm0gn8ReMabKwYka-9mrcTc6vtHvW4odVS56Zrt0TROzlUp3VsObDgWi7AyaSZs03yLvoUNTPeWoX3_vAH4VupoSvsOMss25qGJ5uUAwkcxYFyOWp1wKMKudkP8-rlX17xFXlQZ0LikhM6IvurxRpek_vhx2qyXLwpBvILbxAPJA |
| linkProvider | IEEE |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1Lj9MwELZgQQIOPBdtYQEfuKEsdmzH9nG1DxXRlkoUseJixfaYVKpa1MdK_HtsJ-0WCZC45WBPHuPJzDf2zIfQW8oT5XtdFdEV84IHRQutaxEVwkkdEZcuvcpkE3I0UldXetwVq-daGADIh8_gJF3mvXy_cJuUKosWLpmMeOI2uiM4L0lbrnVTBklY13QynWiXalsjQ_T7ydmn4TCiwZKfsBSiZ36yGz-UiVV-jzH3-4ZmX3P56D-f8jF62AWV-LRdBU_QLZg_RQ_2Wg0-Q6b_M9Vm4XFCwB6W-Dwf3cAxZsWn8-8zKBahOI--aZm2FPBFtPy2qBF_na4b3NVBFSnb365VPG6iA8Sfm2liGV8doi-XF5OzftGRKxSOV-W6CC5Yzb3XLmKYALymJPEYVZKWltqK1lwQy21gKgIUxz1xjkEZIuCyQoEE9hwdzBdzOEIYeIxpShJicOm5qLlVAmjtQTGrvCK8h-j2UxvXdR5PBBgzkxEI0SarxyT1mE49PfRuN-dH23fjn6MPkx72RrYq6KHjrUpNZ5srw-JPOq7CSrMe-taqeTcxNdtucY_pmi01ZrYxqyh6L4tqpPQ1BeJMTRkYHiQxugrWeBu8JMpqLeK9B38QvpPqmsyPs0qytapo0EEY4ECjOBAmxa0GqBcutfshVrz4yyu-Qff6k-HADD6MPr5E98tET5wzRMfoYL3cwCt0112vp6vl62wsvwCgGxJr |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Hybrid+Precoder+Design+for+Angle-of-Departure+Estimation+with+Limited-Resolution+Phase+Shifters&rft.jtitle=IEEE+transactions+on+communications&rft.au=Huang%2C+Huiping&rft.au=Keskin%2C+Musa+Furkan&rft.au=Wymeersch%2C+Henk&rft.au=Cai%2C+Xuesong&rft.date=2025&rft.issn=1558-0857&rft.volume=73&rft.issue=6&rft.spage=4439&rft_id=info:doi/10.1109%2FTCOMM.2024.3487517&rft.externalDocID=oai_research_chalmers_se_9861f9f5_e4e1_4fe5_8392_e1d5c56450b5 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0090-6778&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0090-6778&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0090-6778&client=summon |