{"id":"https://openalex.org/W1971550838","doi":"https://doi.org/10.1109/twc.2014.2333523","title":"An Eigen Approach to Transmit Beamforming in Wireless Networks With Single Antenna Receivers","display_name":"An Eigen Approach to Transmit Beamforming in Wireless Networks With Single Antenna Receivers","publication_year":2014,"publication_date":"2014-06-26","ids":{"openalex":"https://openalex.org/W1971550838","doi":"https://doi.org/10.1109/twc.2014.2333523","mag":"1971550838"},"language":"en","primary_location":{"id":"doi:10.1109/twc.2014.2333523","is_oa":false,"landing_page_url":"https://doi.org/10.1109/twc.2014.2333523","pdf_url":null,"source":{"id":"https://openalex.org/S63459445","display_name":"IEEE Transactions on Wireless Communications","issn_l":"1536-1276","issn":["1536-1276","1558-2248"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Wireless Communications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081916827","display_name":"Dinesh Dileep Gaurav","orcid":null},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Dinesh Dileep Gaurav","raw_affiliation_strings":["Statistical Signal Processing Laboratory, Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore, India","Dept. of Electr. Commun. Eng., Indian Inst. of Sci., Bangalore, India"],"affiliations":[{"raw_affiliation_string":"Statistical Signal Processing Laboratory, Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore, India","institution_ids":["https://openalex.org/I59270414"]},{"raw_affiliation_string":"Dept. of Electr. Commun. Eng., Indian Inst. of Sci., Bangalore, India","institution_ids":["https://openalex.org/I59270414"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011729287","display_name":"K.V.S. Hari","orcid":"https://orcid.org/0000-0002-8300-9291"},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"K. V. S. Hari","raw_affiliation_strings":["Statistical Signal Processing Laboratory, Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore, India","Dept. of Electr. Commun. Eng., Indian Inst. of Sci., Bangalore, India"],"affiliations":[{"raw_affiliation_string":"Statistical Signal Processing Laboratory, Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore, India","institution_ids":["https://openalex.org/I59270414"]},{"raw_affiliation_string":"Dept. of Electr. Commun. Eng., Indian Inst. of Sci., Bangalore, India","institution_ids":["https://openalex.org/I59270414"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5081916827"],"corresponding_institution_ids":["https://openalex.org/I59270414"],"apc_list":null,"apc_paid":null,"fwci":0.2124,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57089612,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"13","issue":"11","first_page":"6431","last_page":"6443"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12791","display_name":"Full-Duplex Wireless Communications","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.781059980392456},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.6071837544441223},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5865191221237183},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.580715000629425},{"id":"https://openalex.org/keywords/precoding","display_name":"Precoding","score":0.5797345638275146},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5207569599151611},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5018963813781738},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.49627238512039185},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.46576428413391113},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.44113898277282715},{"id":"https://openalex.org/keywords/wireless-network","display_name":"Wireless network","score":0.43459370732307434},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.43447771668434143},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.40306493639945984},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36863893270492554},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3552074432373047},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.2687172293663025},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.26843491196632385}],"concepts":[{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.781059980392456},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.6071837544441223},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5865191221237183},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.580715000629425},{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.5797345638275146},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5207569599151611},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5018963813781738},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.49627238512039185},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.46576428413391113},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.44113898277282715},{"id":"https://openalex.org/C108037233","wikidata":"https://www.wikidata.org/wiki/Q11375","display_name":"Wireless network","level":3,"score":0.43459370732307434},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.43447771668434143},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.40306493639945984},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36863893270492554},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3552074432373047},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.2687172293663025},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.26843491196632385},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/twc.2014.2333523","is_oa":false,"landing_page_url":"https://doi.org/10.1109/twc.2014.2333523","pdf_url":null,"source":{"id":"https://openalex.org/S63459445","display_name":"IEEE Transactions on Wireless Communications","issn_l":"1536-1276","issn":["1536-1276","1558-2248"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Wireless Communications","raw_type":"journal-article"},{"id":"pmh:oai:eprints.iisc.ac.in:50530","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196309","display_name":"NOT FOUND REPOSITORY (Indian Institute of Science Bangalore)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I59270414","host_organization_name":"Indian Institute of Science Bangalore","host_organization_lineage":["https://openalex.org/I59270414"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1488435683","https://openalex.org/W1545861347","https://openalex.org/W1642407538","https://openalex.org/W1965514580","https://openalex.org/W1981044874","https://openalex.org/W1996215314","https://openalex.org/W2002497815","https://openalex.org/W2020869491","https://openalex.org/W2021195188","https://openalex.org/W2025829033","https://openalex.org/W2030421949","https://openalex.org/W2060224784","https://openalex.org/W2097888543","https://openalex.org/W2108927308","https://openalex.org/W2121233130","https://openalex.org/W2129477191","https://openalex.org/W2130945166","https://openalex.org/W2131350052","https://openalex.org/W2132070196","https://openalex.org/W2145486800","https://openalex.org/W2148279115","https://openalex.org/W2150764210","https://openalex.org/W2159081591","https://openalex.org/W2161473225","https://openalex.org/W2167282237","https://openalex.org/W2169363112","https://openalex.org/W2169501582","https://openalex.org/W2610857016","https://openalex.org/W2912522929","https://openalex.org/W3105381404","https://openalex.org/W6610930706"],"related_works":["https://openalex.org/W4281688526","https://openalex.org/W2152088989","https://openalex.org/W2756419127","https://openalex.org/W4366493479","https://openalex.org/W2401571617","https://openalex.org/W4328011863","https://openalex.org/W4200589288","https://openalex.org/W4236087151","https://openalex.org/W4302353319","https://openalex.org/W2761543104"],"abstract_inverted_index":{"In":[0,21],"this":[1],"paper,":[2],"we":[3],"propose":[4],"an":[5,72,119],"eigen":[6],"framework":[7],"for":[8,11,71],"transmit":[9],"beamforming":[10],"single-hop":[12],"and":[13,45,108,132],"dual-hop":[14],"network":[15],"models":[16],"with":[17,49],"single":[18],"antenna":[19],"receivers.":[20],"cases":[22],"where":[23],"number":[24],"of":[25,41,43,69,80,129],"receivers":[26],"is":[27,36,57,96,112],"not":[28],"more":[29],"than":[30],"three,":[31],"the":[32,50,59,76,86,93,106,109,123,127,130],"proposed":[33,131],"Eigen":[34],"approach":[35],"vastly":[37],"superior":[38],"in":[39,75],"terms":[40],"ease":[42],"implementation":[44],"computational":[46],"complexity":[47],"compared":[48],"existing":[51,133],"convex-relaxation-based":[52],"approaches.":[53],"The":[54],"essential":[55],"premise":[56],"that":[58,85,100,117],"precoding":[60],"problems":[61,68],"can":[62],"be":[63],"posed":[64],"as":[65],"equivalent":[66],"optimization":[67],"searching":[70],"optimal":[73],"vector":[74],"joint":[77],"numerical":[78,136],"range":[79],"Hermitian":[81],"matrices.":[82],"We":[83,125],"show":[84],"latter":[87],"problem":[88],"has":[89],"two":[90],"convex":[91],"approximations:":[92],"first":[94],"one":[95,111],"a":[97,102,113],"semi-definite":[98],"program":[99],"yields":[101,118],"lower":[103],"bound":[104,121],"on":[105,122],"solution,":[107],"second":[110],"linear":[114],"matrix":[115],"inequality":[116],"upper":[120],"solution.":[124],"study":[126],"performance":[128],"techniques":[134],"using":[135],"simulations.":[137]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}