{"id":"https://openalex.org/W2976675632","doi":"https://doi.org/10.1109/isit.2019.8849336","title":"Orthogonal Precoder for Integer-Forcing MIMO","display_name":"Orthogonal Precoder for Integer-Forcing MIMO","publication_year":2019,"publication_date":"2019-07-01","ids":{"openalex":"https://openalex.org/W2976675632","doi":"https://doi.org/10.1109/isit.2019.8849336","mag":"2976675632"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2019.8849336","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2019.8849336","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-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/A5012216412","display_name":"Mohammad Nur Hasan","orcid":"https://orcid.org/0000-0002-0014-1626"},"institutions":[{"id":"https://openalex.org/I177738480","display_name":"Japan Advanced Institute of Science and Technology","ror":"https://ror.org/03frj4r98","country_code":"JP","type":"education","lineage":["https://openalex.org/I177738480"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Mohammad Nur Hasan","raw_affiliation_strings":["School of Information Science, Japan Advanced Institute of Science and Technology (JAIST)"],"affiliations":[{"raw_affiliation_string":"School of Information Science, Japan Advanced Institute of Science and Technology (JAIST)","institution_ids":["https://openalex.org/I177738480"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004778561","display_name":"Brian M. Kurkoski","orcid":"https://orcid.org/0000-0003-4328-8684"},"institutions":[{"id":"https://openalex.org/I177738480","display_name":"Japan Advanced Institute of Science and Technology","ror":"https://ror.org/03frj4r98","country_code":"JP","type":"education","lineage":["https://openalex.org/I177738480"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Brian M. Kurkoski","raw_affiliation_strings":["School of Information Science, Japan Advanced Institute of Science and Technology (JAIST)"],"affiliations":[{"raw_affiliation_string":"School of Information Science, Japan Advanced Institute of Science and Technology (JAIST)","institution_ids":["https://openalex.org/I177738480"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057144969","display_name":"Amin Sakzad","orcid":"https://orcid.org/0000-0003-4569-3384"},"institutions":[{"id":"https://openalex.org/I56590836","display_name":"Monash University","ror":"https://ror.org/02bfwt286","country_code":"AU","type":"education","lineage":["https://openalex.org/I56590836"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Amin Sakzad","raw_affiliation_strings":["Faculty of Information Technology, Monash University"],"affiliations":[{"raw_affiliation_string":"Faculty of Information Technology, Monash University","institution_ids":["https://openalex.org/I56590836"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043667125","display_name":"Emanuele Viterbo","orcid":"https://orcid.org/0000-0002-5861-2873"},"institutions":[{"id":"https://openalex.org/I56590836","display_name":"Monash University","ror":"https://ror.org/02bfwt286","country_code":"AU","type":"education","lineage":["https://openalex.org/I56590836"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Emanuele Viterbo","raw_affiliation_strings":["Department of Electrical and Computer Systems Engineering, Monash University"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Systems Engineering, Monash University","institution_ids":["https://openalex.org/I56590836"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5012216412"],"corresponding_institution_ids":["https://openalex.org/I177738480"],"apc_list":null,"apc_paid":null,"fwci":0.1853,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.56337339,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1187","last_page":"1191"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998000264167786,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9995999932289124,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9987000226974487,"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/precoding","display_name":"Precoding","score":0.9400374889373779},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6304512023925781},{"id":"https://openalex.org/keywords/zero-forcing-precoding","display_name":"Zero-forcing precoding","score":0.630251407623291},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.5949636101722717},{"id":"https://openalex.org/keywords/qam","display_name":"QAM","score":0.5588005781173706},{"id":"https://openalex.org/keywords/unitary-matrix","display_name":"Unitary matrix","score":0.5144441723823547},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4739905893802643},{"id":"https://openalex.org/keywords/quadrature-amplitude-modulation","display_name":"Quadrature amplitude modulation","score":0.4635068476200104},{"id":"https://openalex.org/keywords/orthogonality","display_name":"Orthogonality","score":0.45400261878967285},{"id":"https://openalex.org/keywords/orthogonal-matrix","display_name":"Orthogonal matrix","score":0.4401411712169647},{"id":"https://openalex.org/keywords/lattice-reduction","display_name":"Lattice reduction","score":0.4197905659675598},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4115406274795532},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35072559118270874},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.3100193738937378},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3096192479133606},{"id":"https://openalex.org/keywords/bit-error-rate","display_name":"Bit error rate","score":0.24714165925979614},{"id":"https://openalex.org/keywords/orthogonal-basis","display_name":"Orthogonal basis","score":0.24381259083747864},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.19490715861320496},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.12609365582466125},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0652323067188263},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0649779736995697}],"concepts":[{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.9400374889373779},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6304512023925781},{"id":"https://openalex.org/C155437304","wikidata":"https://www.wikidata.org/wiki/Q8069444","display_name":"Zero-forcing precoding","level":5,"score":0.630251407623291},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.5949636101722717},{"id":"https://openalex.org/C59030546","wikidata":"https://www.wikidata.org/wiki/Q7265371","display_name":"QAM","level":5,"score":0.5588005781173706},{"id":"https://openalex.org/C96214315","wikidata":"https://www.wikidata.org/wiki/Q727103","display_name":"Unitary matrix","level":3,"score":0.5144441723823547},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4739905893802643},{"id":"https://openalex.org/C32409245","wikidata":"https://www.wikidata.org/wiki/Q749753","display_name":"Quadrature amplitude modulation","level":4,"score":0.4635068476200104},{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.45400261878967285},{"id":"https://openalex.org/C44292817","wikidata":"https://www.wikidata.org/wiki/Q333871","display_name":"Orthogonal matrix","level":3,"score":0.4401411712169647},{"id":"https://openalex.org/C44274781","wikidata":"https://www.wikidata.org/wiki/Q6497132","display_name":"Lattice reduction","level":4,"score":0.4197905659675598},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4115406274795532},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35072559118270874},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.3100193738937378},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3096192479133606},{"id":"https://openalex.org/C56296756","wikidata":"https://www.wikidata.org/wiki/Q840922","display_name":"Bit error rate","level":3,"score":0.24714165925979614},{"id":"https://openalex.org/C187064257","wikidata":"https://www.wikidata.org/wiki/Q3306808","display_name":"Orthogonal basis","level":2,"score":0.24381259083747864},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.19490715861320496},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.12609365582466125},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0652323067188263},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0649779736995697},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2019.8849336","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2019.8849336","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1556310567","https://openalex.org/W1598705702","https://openalex.org/W1964299858","https://openalex.org/W2001093624","https://openalex.org/W2035266863","https://openalex.org/W2053037153","https://openalex.org/W2062555860","https://openalex.org/W2076159682","https://openalex.org/W2111136894","https://openalex.org/W2111992817","https://openalex.org/W2123859926","https://openalex.org/W2125665779","https://openalex.org/W2141040012","https://openalex.org/W2164644282","https://openalex.org/W2564237603","https://openalex.org/W2939059431","https://openalex.org/W2964303560","https://openalex.org/W2989183357","https://openalex.org/W4243055393","https://openalex.org/W6633240241","https://openalex.org/W6635749265","https://openalex.org/W6761195787"],"related_works":["https://openalex.org/W3089119089","https://openalex.org/W4287662092","https://openalex.org/W3135389212","https://openalex.org/W1995289652","https://openalex.org/W4386942119","https://openalex.org/W2092337681","https://openalex.org/W1608679641","https://openalex.org/W1565227169","https://openalex.org/W1986117758","https://openalex.org/W4299511809"],"abstract_inverted_index":{"This":[0],"paper":[1],"focuses":[2],"on":[3,99],"orthogonal":[4,31,46,129],"precoding":[5,20,26,47,50,70],"for":[6,39,137],"integer-forcing":[7],"linear":[8],"receiver":[9],"and":[10,56,78,95,106,117],"shows":[11],"it":[12,62,73],"has":[13],"two":[14,93],"advantages":[15],"over":[16],"unitary":[17,25,37,49],"precoding.":[18],"Orthogonal":[19],"exhibits":[21],"lower":[22],"complexity":[23,116],"than":[24],"because":[27,72],"the":[28,68,79,89,100,127],"dimension":[29],"of":[30,36,43,53],"matrices":[32,38,71],"is":[33,63],"half":[34],"that":[35],"a":[40,107],"fixed":[41],"number":[42],"antennas.":[44],"Moreover,":[45],"outperforms":[48,131],"in":[51],"terms":[52],"achievable":[54],"rate":[55],"error-rate.":[57],"Despite":[58],"its":[59],"promising":[60],"advantages,":[61],"not":[64],"easy":[65],"to":[66,120],"find":[67],"optimal":[69],"involves":[74],"an":[75],"orthogonality":[76],"constraint":[77],"shortest":[80],"lattice":[81],"vector":[82],"problem.":[83],"To":[84],"solve":[85],"this,":[86],"we":[87],"separate":[88],"optimization":[90],"problem":[91],"into":[92],"sub-problems":[94],"propose":[96],"methods":[97,113],"based":[98],"steepest":[101],"gradient":[102],"with":[103],"Lie":[104],"groups":[105],"random":[108],"search":[109],"algorithm.":[110],"The":[111],"proposed":[112,128],"have":[114],"low":[115],"are":[118,134],"applicable":[119],"any":[121],"MIMO":[122],"dimension.":[123],"For":[124],"high-order":[125],"QAM,":[126],"precoder":[130],"X-precoders":[132],"which":[133],"designed":[135],"specifically":[136],"QAM.":[138]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2025-10-10T00:00:00"}