Robust Downlink Beamforming for BDMA Massive MIMO System
In this paper, we design robust downlink beamforming against the imperfect channel state information (CSI) for beam division multiple access (BDMA) massive multiple-input multiple output (MIMO) systems. Following a worst-case deterministic model, the proposed design is formulated as minimizing the p...
Gespeichert in:
| Veröffentlicht in: | IEEE transactions on communications 2018-04, Vol.66 (4), p.1496-1507 |
|---|---|
| Hauptverfasser: | , , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 1507 |
|---|---|
| container_issue | 4 |
| container_start_page | 1496 |
| container_title | IEEE transactions on communications |
| container_volume | 66 |
| creator | Zhu, Fengchao Gao, Feifei Jin, Shi Lin, Hai Yao, Minli |
| description | In this paper, we design robust downlink beamforming against the imperfect channel state information (CSI) for beam division multiple access (BDMA) massive multiple-input multiple output (MIMO) systems. Following a worst-case deterministic model, the proposed design is formulated as minimizing the power consumption of base station (BS) under different signal-to-interference-plus-noise ratio (SINR) constraints. The S-Procedure and semi-definite relaxation (SDR) are used to convert the initial non-convex optimization to a convex semi-definite programming problem. Then the optimality of SDR is strictly proved by showing the rank-one property of the optimal beamforming thanks to the orthogonal channels under BDMA scheme. More importantly, we make one step further by deriving the optimal beamforming directions and optimal beamforming power allocation of the SDR in closed-form, which greatly reduces the optimization complexity and makes the proposed design practical for a real word massive MIMO system. Simulation results are then provided to verify the efficiency of the proposed robust beamforming algorithm. |
| doi_str_mv | 10.1109/TCOMM.2017.2787582 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_RIE</sourceid><recordid>TN_cdi_ieee_primary_8240715</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><ieee_id>8240715</ieee_id><sourcerecordid>2174488919</sourcerecordid><originalsourceid>FETCH-LOGICAL-c295t-8ae878032d4e6923d43034f386846aa0ed5e1b7598921740063eacb56f1f06773</originalsourceid><addsrcrecordid>eNo9kMtOwzAQRS0EEqXwA7CxxDpl_IrHyz54VGpUCcraclsHpTRJsRNQ_56UVqzu5p47o0PILYMBY2AeFuN5lg04MD3gGrVCfkZ6TClMAJU-Jz0AA0mqNV6Sqxg3ACBBiB7B13rZxoZO6p9qW1SfdORdmdehLKoP2iUdTbIhzVyMxben2TSb07d9bHx5TS5yt43-5pR98v70uBi_JLP583Q8nCUrblSToPOoEQRfS58aLtZSgJC5wBRl6hz4tfJsqZVBw5mWAKnwbrVUac5y6P4VfXJ_3N2F-qv1sbGbug1Vd9IeAIlomOla_NhahTrG4HO7C0Xpwt4ysAdD9s-QPRiyJ0MddHeECu_9P4BcgmZK_AIF5l8d</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2174488919</pqid></control><display><type>article</type><title>Robust Downlink Beamforming for BDMA Massive MIMO System</title><source>IEEE Electronic Library (IEL)</source><creator>Zhu, Fengchao ; Gao, Feifei ; Jin, Shi ; Lin, Hai ; Yao, Minli</creator><creatorcontrib>Zhu, Fengchao ; Gao, Feifei ; Jin, Shi ; Lin, Hai ; Yao, Minli</creatorcontrib><description>In this paper, we design robust downlink beamforming against the imperfect channel state information (CSI) for beam division multiple access (BDMA) massive multiple-input multiple output (MIMO) systems. Following a worst-case deterministic model, the proposed design is formulated as minimizing the power consumption of base station (BS) under different signal-to-interference-plus-noise ratio (SINR) constraints. The S-Procedure and semi-definite relaxation (SDR) are used to convert the initial non-convex optimization to a convex semi-definite programming problem. Then the optimality of SDR is strictly proved by showing the rank-one property of the optimal beamforming thanks to the orthogonal channels under BDMA scheme. More importantly, we make one step further by deriving the optimal beamforming directions and optimal beamforming power allocation of the SDR in closed-form, which greatly reduces the optimization complexity and makes the proposed design practical for a real word massive MIMO system. Simulation results are then provided to verify the efficiency of the proposed robust beamforming algorithm.</description><identifier>ISSN: 0090-6778</identifier><identifier>EISSN: 1558-0857</identifier><identifier>DOI: 10.1109/TCOMM.2017.2787582</identifier><identifier>CODEN: IECMBT</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Array signal processing ; beam division multiple access (BDMA) ; Beamforming ; closed-form solutions ; Computational geometry ; Computer simulation ; Convexity ; Division ; massive MIMO ; MIMO (control systems) ; MIMO communication ; Optimization ; Power consumption ; Power management ; Robust beamforming ; Robustness ; semi-definite programming (SDP) ; Software radio</subject><ispartof>IEEE transactions on communications, 2018-04, Vol.66 (4), p.1496-1507</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2018</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c295t-8ae878032d4e6923d43034f386846aa0ed5e1b7598921740063eacb56f1f06773</citedby><cites>FETCH-LOGICAL-c295t-8ae878032d4e6923d43034f386846aa0ed5e1b7598921740063eacb56f1f06773</cites><orcidid>0000-0002-0867-5470 ; 0000-0002-6364-348X ; 0000-0003-0271-6021 ; 0000-0001-8896-352X</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/8240715$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,796,27924,27925,54758</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/8240715$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Zhu, Fengchao</creatorcontrib><creatorcontrib>Gao, Feifei</creatorcontrib><creatorcontrib>Jin, Shi</creatorcontrib><creatorcontrib>Lin, Hai</creatorcontrib><creatorcontrib>Yao, Minli</creatorcontrib><title>Robust Downlink Beamforming for BDMA Massive MIMO System</title><title>IEEE transactions on communications</title><addtitle>TCOMM</addtitle><description>In this paper, we design robust downlink beamforming against the imperfect channel state information (CSI) for beam division multiple access (BDMA) massive multiple-input multiple output (MIMO) systems. Following a worst-case deterministic model, the proposed design is formulated as minimizing the power consumption of base station (BS) under different signal-to-interference-plus-noise ratio (SINR) constraints. The S-Procedure and semi-definite relaxation (SDR) are used to convert the initial non-convex optimization to a convex semi-definite programming problem. Then the optimality of SDR is strictly proved by showing the rank-one property of the optimal beamforming thanks to the orthogonal channels under BDMA scheme. More importantly, we make one step further by deriving the optimal beamforming directions and optimal beamforming power allocation of the SDR in closed-form, which greatly reduces the optimization complexity and makes the proposed design practical for a real word massive MIMO system. Simulation results are then provided to verify the efficiency of the proposed robust beamforming algorithm.</description><subject>Array signal processing</subject><subject>beam division multiple access (BDMA)</subject><subject>Beamforming</subject><subject>closed-form solutions</subject><subject>Computational geometry</subject><subject>Computer simulation</subject><subject>Convexity</subject><subject>Division</subject><subject>massive MIMO</subject><subject>MIMO (control systems)</subject><subject>MIMO communication</subject><subject>Optimization</subject><subject>Power consumption</subject><subject>Power management</subject><subject>Robust beamforming</subject><subject>Robustness</subject><subject>semi-definite programming (SDP)</subject><subject>Software radio</subject><issn>0090-6778</issn><issn>1558-0857</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNo9kMtOwzAQRS0EEqXwA7CxxDpl_IrHyz54VGpUCcraclsHpTRJsRNQ_56UVqzu5p47o0PILYMBY2AeFuN5lg04MD3gGrVCfkZ6TClMAJU-Jz0AA0mqNV6Sqxg3ACBBiB7B13rZxoZO6p9qW1SfdORdmdehLKoP2iUdTbIhzVyMxben2TSb07d9bHx5TS5yt43-5pR98v70uBi_JLP583Q8nCUrblSToPOoEQRfS58aLtZSgJC5wBRl6hz4tfJsqZVBw5mWAKnwbrVUac5y6P4VfXJ_3N2F-qv1sbGbug1Vd9IeAIlomOla_NhahTrG4HO7C0Xpwt4ysAdD9s-QPRiyJ0MddHeECu_9P4BcgmZK_AIF5l8d</recordid><startdate>20180401</startdate><enddate>20180401</enddate><creator>Zhu, Fengchao</creator><creator>Gao, Feifei</creator><creator>Jin, Shi</creator><creator>Lin, Hai</creator><creator>Yao, Minli</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>8FD</scope><scope>L7M</scope><orcidid>https://orcid.org/0000-0002-0867-5470</orcidid><orcidid>https://orcid.org/0000-0002-6364-348X</orcidid><orcidid>https://orcid.org/0000-0003-0271-6021</orcidid><orcidid>https://orcid.org/0000-0001-8896-352X</orcidid></search><sort><creationdate>20180401</creationdate><title>Robust Downlink Beamforming for BDMA Massive MIMO System</title><author>Zhu, Fengchao ; Gao, Feifei ; Jin, Shi ; Lin, Hai ; Yao, Minli</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c295t-8ae878032d4e6923d43034f386846aa0ed5e1b7598921740063eacb56f1f06773</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Array signal processing</topic><topic>beam division multiple access (BDMA)</topic><topic>Beamforming</topic><topic>closed-form solutions</topic><topic>Computational geometry</topic><topic>Computer simulation</topic><topic>Convexity</topic><topic>Division</topic><topic>massive MIMO</topic><topic>MIMO (control systems)</topic><topic>MIMO communication</topic><topic>Optimization</topic><topic>Power consumption</topic><topic>Power management</topic><topic>Robust beamforming</topic><topic>Robustness</topic><topic>semi-definite programming (SDP)</topic><topic>Software radio</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zhu, Fengchao</creatorcontrib><creatorcontrib>Gao, Feifei</creatorcontrib><creatorcontrib>Jin, Shi</creatorcontrib><creatorcontrib>Lin, Hai</creatorcontrib><creatorcontrib>Yao, Minli</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>IEEE transactions on communications</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Zhu, Fengchao</au><au>Gao, Feifei</au><au>Jin, Shi</au><au>Lin, Hai</au><au>Yao, Minli</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Robust Downlink Beamforming for BDMA Massive MIMO System</atitle><jtitle>IEEE transactions on communications</jtitle><stitle>TCOMM</stitle><date>2018-04-01</date><risdate>2018</risdate><volume>66</volume><issue>4</issue><spage>1496</spage><epage>1507</epage><pages>1496-1507</pages><issn>0090-6778</issn><eissn>1558-0857</eissn><coden>IECMBT</coden><abstract>In this paper, we design robust downlink beamforming against the imperfect channel state information (CSI) for beam division multiple access (BDMA) massive multiple-input multiple output (MIMO) systems. Following a worst-case deterministic model, the proposed design is formulated as minimizing the power consumption of base station (BS) under different signal-to-interference-plus-noise ratio (SINR) constraints. The S-Procedure and semi-definite relaxation (SDR) are used to convert the initial non-convex optimization to a convex semi-definite programming problem. Then the optimality of SDR is strictly proved by showing the rank-one property of the optimal beamforming thanks to the orthogonal channels under BDMA scheme. More importantly, we make one step further by deriving the optimal beamforming directions and optimal beamforming power allocation of the SDR in closed-form, which greatly reduces the optimization complexity and makes the proposed design practical for a real word massive MIMO system. Simulation results are then provided to verify the efficiency of the proposed robust beamforming algorithm.</abstract><cop>New York</cop><pub>IEEE</pub><doi>10.1109/TCOMM.2017.2787582</doi><tpages>12</tpages><orcidid>https://orcid.org/0000-0002-0867-5470</orcidid><orcidid>https://orcid.org/0000-0002-6364-348X</orcidid><orcidid>https://orcid.org/0000-0003-0271-6021</orcidid><orcidid>https://orcid.org/0000-0001-8896-352X</orcidid></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | ISSN: 0090-6778 |
| ispartof | IEEE transactions on communications, 2018-04, Vol.66 (4), p.1496-1507 |
| issn | 0090-6778 1558-0857 |
| language | eng |
| recordid | cdi_ieee_primary_8240715 |
| source | IEEE Electronic Library (IEL) |
| subjects | Array signal processing beam division multiple access (BDMA) Beamforming closed-form solutions Computational geometry Computer simulation Convexity Division massive MIMO MIMO (control systems) MIMO communication Optimization Power consumption Power management Robust beamforming Robustness semi-definite programming (SDP) Software radio |
| title | Robust Downlink Beamforming for BDMA Massive MIMO System |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-23T09%3A32%3A37IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_RIE&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Robust%20Downlink%20Beamforming%20for%20BDMA%20Massive%20MIMO%20System&rft.jtitle=IEEE%20transactions%20on%20communications&rft.au=Zhu,%20Fengchao&rft.date=2018-04-01&rft.volume=66&rft.issue=4&rft.spage=1496&rft.epage=1507&rft.pages=1496-1507&rft.issn=0090-6778&rft.eissn=1558-0857&rft.coden=IECMBT&rft_id=info:doi/10.1109/TCOMM.2017.2787582&rft_dat=%3Cproquest_RIE%3E2174488919%3C/proquest_RIE%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2174488919&rft_id=info:pmid/&rft_ieee_id=8240715&rfr_iscdi=true |