{"id":"https://openalex.org/W2760752055","doi":"https://doi.org/10.1109/tvt.2017.2758028","title":"ASER Analysis of Hexagonal and Rectangular QAM Schemes in Multiple-Relay Networks","display_name":"ASER Analysis of Hexagonal and Rectangular QAM Schemes in Multiple-Relay Networks","publication_year":2017,"publication_date":"2017-09-29","ids":{"openalex":"https://openalex.org/W2760752055","doi":"https://doi.org/10.1109/tvt.2017.2758028","mag":"2760752055"},"language":"en","primary_location":{"id":"doi:10.1109/tvt.2017.2758028","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2017.2758028","pdf_url":null,"source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"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 Vehicular Technology","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/A5101864987","display_name":"Nagendra Kumar","orcid":"https://orcid.org/0000-0003-0429-0060"},"institutions":[{"id":"https://openalex.org/I64295750","display_name":"Indian Institute of Technology Indore","ror":"https://ror.org/01hhf7w52","country_code":"IN","type":"education","lineage":["https://openalex.org/I64295750"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Nagendra Kumar","raw_affiliation_strings":["Discipline of Electrical Engineering, Indian Institute of Technology Indore, Indore, India"],"raw_orcid":"https://orcid.org/0000-0003-0429-0060","affiliations":[{"raw_affiliation_string":"Discipline of Electrical Engineering, Indian Institute of Technology Indore, Indore, India","institution_ids":["https://openalex.org/I64295750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028180746","display_name":"Praveen Kumar Singya","orcid":"https://orcid.org/0000-0003-1602-3525"},"institutions":[{"id":"https://openalex.org/I64295750","display_name":"Indian Institute of Technology Indore","ror":"https://ror.org/01hhf7w52","country_code":"IN","type":"education","lineage":["https://openalex.org/I64295750"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Praveen Kumar Singya","raw_affiliation_strings":["Discipline of Electrical Engineering, Indian Institute of Technology Indore, Indore, India"],"raw_orcid":"https://orcid.org/0000-0003-1602-3525","affiliations":[{"raw_affiliation_string":"Discipline of Electrical Engineering, Indian Institute of Technology Indore, Indore, India","institution_ids":["https://openalex.org/I64295750"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050580025","display_name":"Vimal Bhatia","orcid":"https://orcid.org/0000-0001-5148-6643"},"institutions":[{"id":"https://openalex.org/I64295750","display_name":"Indian Institute of Technology Indore","ror":"https://ror.org/01hhf7w52","country_code":"IN","type":"education","lineage":["https://openalex.org/I64295750"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Vimal Bhatia","raw_affiliation_strings":["Discipline of Electrical Engineering, Indian Institute of Technology Indore, Indore, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Discipline of Electrical Engineering, Indian Institute of Technology Indore, Indore, India","institution_ids":["https://openalex.org/I64295750"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I64295750"],"apc_list":null,"apc_paid":null,"fwci":4.6279,"has_fulltext":false,"cited_by_count":51,"citation_normalized_percentile":{"value":0.95477441,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"67","issue":"2","first_page":"1815","last_page":"1819"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":1.0,"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":1.0,"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/T11458","display_name":"Advanced Wireless Communication Technologies","score":0.998199999332428,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9975000023841858,"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/quadrature-amplitude-modulation","display_name":"Quadrature amplitude modulation","score":0.8223563432693481},{"id":"https://openalex.org/keywords/qam","display_name":"QAM","score":0.8058298230171204},{"id":"https://openalex.org/keywords/nakagami-distribution","display_name":"Nakagami distribution","score":0.7723832130432129},{"id":"https://openalex.org/keywords/fading","display_name":"Fading","score":0.7321592569351196},{"id":"https://openalex.org/keywords/phase-shift-keying","display_name":"Phase-shift keying","score":0.687177300453186},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5947834253311157},{"id":"https://openalex.org/keywords/cumulative-distribution-function","display_name":"Cumulative distribution function","score":0.4861909747123718},{"id":"https://openalex.org/keywords/modulation","display_name":"Modulation (music)","score":0.47346535325050354},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.4353805184364319},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41856321692466736},{"id":"https://openalex.org/keywords/bit-error-rate","display_name":"Bit error rate","score":0.3838702440261841},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3729953169822693},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.36003607511520386},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.3210833966732025},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.29460209608078003},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2687723636627197},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.2030385136604309},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14373555779457092},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.10162892937660217},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08469530940055847},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07711637020111084}],"concepts":[{"id":"https://openalex.org/C32409245","wikidata":"https://www.wikidata.org/wiki/Q749753","display_name":"Quadrature amplitude modulation","level":4,"score":0.8223563432693481},{"id":"https://openalex.org/C59030546","wikidata":"https://www.wikidata.org/wiki/Q7265371","display_name":"QAM","level":5,"score":0.8058298230171204},{"id":"https://openalex.org/C115098869","wikidata":"https://www.wikidata.org/wiki/Q3258347","display_name":"Nakagami distribution","level":4,"score":0.7723832130432129},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.7321592569351196},{"id":"https://openalex.org/C186378180","wikidata":"https://www.wikidata.org/wiki/Q4874866","display_name":"Phase-shift keying","level":4,"score":0.687177300453186},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5947834253311157},{"id":"https://openalex.org/C103784038","wikidata":"https://www.wikidata.org/wiki/Q386228","display_name":"Cumulative distribution function","level":3,"score":0.4861909747123718},{"id":"https://openalex.org/C123079801","wikidata":"https://www.wikidata.org/wiki/Q750240","display_name":"Modulation (music)","level":2,"score":0.47346535325050354},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.4353805184364319},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41856321692466736},{"id":"https://openalex.org/C56296756","wikidata":"https://www.wikidata.org/wiki/Q840922","display_name":"Bit error rate","level":3,"score":0.3838702440261841},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3729953169822693},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.36003607511520386},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.3210833966732025},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.29460209608078003},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2687723636627197},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.2030385136604309},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14373555779457092},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.10162892937660217},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08469530940055847},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07711637020111084},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tvt.2017.2758028","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2017.2758028","pdf_url":null,"source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"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 Vehicular Technology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1965149283","https://openalex.org/W1968918251","https://openalex.org/W1993045988","https://openalex.org/W2029238825","https://openalex.org/W2047621499","https://openalex.org/W2062895513","https://openalex.org/W2091696547","https://openalex.org/W2110757521","https://openalex.org/W2112111592","https://openalex.org/W2151186246","https://openalex.org/W2514367933","https://openalex.org/W3008609509","https://openalex.org/W4300223101"],"related_works":["https://openalex.org/W2142618516","https://openalex.org/W2781120465","https://openalex.org/W2147334234","https://openalex.org/W2085207364","https://openalex.org/W2159438609","https://openalex.org/W2893995248","https://openalex.org/W3196902411","https://openalex.org/W2064534496","https://openalex.org/W2901356766","https://openalex.org/W1967099468"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"analytical":[3],"lower":[4],"bound":[5],"expressions":[6,53],"of":[7],"average":[8],"symbol":[9],"error":[10],"rate":[11],"(ASER)":[12],"for":[13,27,54,69,80],"general-order":[14],"hexagonal":[15],"quadrature":[16],"amplitude":[17],"modulation":[18,65],"(QAM)":[19],"and":[20,34,63],"rectangular":[21],"QAM":[22],"(RQAM)":[23],"schemes":[24,66],"are":[25,67,95],"derived":[26,68,79],"multiple":[28],"amplify-and-forward":[29],"relay":[30],"networks":[31],"over":[32],"independent":[33],"nonidentically":[35],"distributed":[36],"Nakagami-m":[37],"fading":[38,43],"channels":[39],"with":[40],"an":[41],"integer-valued":[42],"parameter":[44],"using":[45],"a":[46],"well-known":[47],"cumulative":[48],"distribution-function-based":[49],"approach.":[50],"Furthermore,":[51],"ASER":[52,75],"32-cross":[55],"QAM,":[56],"differentially":[57],"encoded":[58],"quadriphase":[59],"shift":[60],"keying":[61],"(QPSK),":[62],"\u03c0/4-QPSK":[64],"the":[70,81],"considered":[71],"systems.":[72],"The":[73],"asymptotic":[74],"expression":[76],"is":[77,85],"also":[78],"RQAM":[82],"scheme,":[83],"which":[84],"useful":[86],"to":[87],"examine":[88],"system's":[89],"diversity":[90],"order.":[91],"Numerically":[92],"evaluated":[93],"results":[94],"verified":[96],"by":[97],"Monte":[98],"Carlo":[99],"simulation.":[100]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
