{"id":"https://openalex.org/W4214519865","doi":"https://doi.org/10.1109/tcomm.2022.3153474","title":"Rayleigh Fading Channel Capacity for Coherent Signaling With Asymmetric Constellations","display_name":"Rayleigh Fading Channel Capacity for Coherent Signaling With Asymmetric Constellations","publication_year":2022,"publication_date":"2022-02-22","ids":{"openalex":"https://openalex.org/W4214519865","doi":"https://doi.org/10.1109/tcomm.2022.3153474"},"language":"en","primary_location":{"id":"doi:10.1109/tcomm.2022.3153474","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2022.3153474","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 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/A5041985939","display_name":"Ranjan K. Mallik","orcid":"https://orcid.org/0000-0002-0210-5282"},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Ranjan K. Mallik","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology Delhi, Hauz Khas, New Delhi, India"],"raw_orcid":"https://orcid.org/0000-0002-0210-5282","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology Delhi, Hauz Khas, New Delhi, India","institution_ids":["https://openalex.org/I68891433"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004541948","display_name":"Ross Murch","orcid":"https://orcid.org/0000-0002-2527-7693"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Ross Murch","raw_affiliation_strings":["Department of Electronic and Computer Engineering, The Hong Kong University of Science and Technology, Kowloon, Hong Kong"],"raw_orcid":"https://orcid.org/0000-0002-2527-7693","affiliations":[{"raw_affiliation_string":"Department of Electronic and Computer Engineering, The Hong Kong University of Science and Technology, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I200769079"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4008,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.59085008,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"70","issue":"4","first_page":"2342","last_page":"2357"},"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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":0.6923887729644775},{"id":"https://openalex.org/keywords/qam","display_name":"QAM","score":0.6456509232521057},{"id":"https://openalex.org/keywords/rayleigh-fading","display_name":"Rayleigh fading","score":0.632208526134491},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5890920162200928},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.5638001561164856},{"id":"https://openalex.org/keywords/amplitude-shift-keying","display_name":"Amplitude-shift keying","score":0.4956413507461548},{"id":"https://openalex.org/keywords/fading","display_name":"Fading","score":0.4937022626399994},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4446212947368622},{"id":"https://openalex.org/keywords/constellation-diagram","display_name":"Constellation diagram","score":0.43100547790527344},{"id":"https://openalex.org/keywords/antenna","display_name":"Antenna (radio)","score":0.4185279607772827},{"id":"https://openalex.org/keywords/signal-to-noise-ratio","display_name":"Signal-to-noise ratio (imaging)","score":0.4176423251628876},{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.4157540798187256},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.36711961030960083},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3616703152656555},{"id":"https://openalex.org/keywords/phase-shift-keying","display_name":"Phase-shift keying","score":0.31936824321746826},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.31611335277557373},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.3032153248786926},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2865756154060364},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.23673087358474731},{"id":"https://openalex.org/keywords/bit-error-rate","display_name":"Bit error rate","score":0.14268752932548523},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.13017287850379944},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09960365295410156}],"concepts":[{"id":"https://openalex.org/C32409245","wikidata":"https://www.wikidata.org/wiki/Q749753","display_name":"Quadrature amplitude modulation","level":4,"score":0.6923887729644775},{"id":"https://openalex.org/C59030546","wikidata":"https://www.wikidata.org/wiki/Q7265371","display_name":"QAM","level":5,"score":0.6456509232521057},{"id":"https://openalex.org/C56985126","wikidata":"https://www.wikidata.org/wiki/Q854039","display_name":"Rayleigh fading","level":4,"score":0.632208526134491},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5890920162200928},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.5638001561164856},{"id":"https://openalex.org/C2777973058","wikidata":"https://www.wikidata.org/wiki/Q477284","display_name":"Amplitude-shift keying","level":5,"score":0.4956413507461548},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.4937022626399994},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4446212947368622},{"id":"https://openalex.org/C185837786","wikidata":"https://www.wikidata.org/wiki/Q1782940","display_name":"Constellation diagram","level":4,"score":0.43100547790527344},{"id":"https://openalex.org/C21822782","wikidata":"https://www.wikidata.org/wiki/Q131214","display_name":"Antenna (radio)","level":2,"score":0.4185279607772827},{"id":"https://openalex.org/C13944312","wikidata":"https://www.wikidata.org/wiki/Q7512748","display_name":"Signal-to-noise ratio (imaging)","level":2,"score":0.4176423251628876},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.4157540798187256},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.36711961030960083},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3616703152656555},{"id":"https://openalex.org/C186378180","wikidata":"https://www.wikidata.org/wiki/Q4874866","display_name":"Phase-shift keying","level":4,"score":0.31936824321746826},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.31611335277557373},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.3032153248786926},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2865756154060364},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.23673087358474731},{"id":"https://openalex.org/C56296756","wikidata":"https://www.wikidata.org/wiki/Q840922","display_name":"Bit error rate","level":3,"score":0.14268752932548523},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.13017287850379944},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09960365295410156},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tcomm.2022.3153474","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2022.3153474","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications","raw_type":"journal-article"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-117309","is_oa":false,"landing_page_url":"http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=LinksAMR&SrcApp=PARTNER_APP&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000782801000016","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:repository.ust.hk:1783.1-117309","is_oa":false,"landing_page_url":"http://repository.ust.hk/ir/Record/1783.1-117309","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334771","display_name":"Science and Engineering Research Board","ror":"https://ror.org/03ffdsr55"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1667950888","https://openalex.org/W1971805247","https://openalex.org/W2045929172","https://openalex.org/W2062125962","https://openalex.org/W2095440459","https://openalex.org/W2097463269","https://openalex.org/W2098567664","https://openalex.org/W2098969228","https://openalex.org/W2106749358","https://openalex.org/W2107080958","https://openalex.org/W2110659753","https://openalex.org/W2111715132","https://openalex.org/W2116334496","https://openalex.org/W2121606987","https://openalex.org/W2130509920","https://openalex.org/W2132820211","https://openalex.org/W2136493079","https://openalex.org/W2143042905","https://openalex.org/W3171351598"],"related_works":["https://openalex.org/W2121323749","https://openalex.org/W1801046103","https://openalex.org/W2380145154","https://openalex.org/W2776889143","https://openalex.org/W3139451426","https://openalex.org/W2103491754","https://openalex.org/W2737715209","https://openalex.org/W2253476804","https://openalex.org/W2561907769","https://openalex.org/W1976196557"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,36,38,52,58,71,76,102,111,117,120,128,131,146,149,160,163,184],"channel":[4],"capacity":[5,39,112,132,150],"of":[6,63,110,148,162],"coherent":[7],"reception":[8],"with":[9,30,92,179],"antenna":[10],"diversity":[11],"in":[12,61,123],"Rayleigh":[13],"fading":[14],"using":[15,127],"asymmetric":[16],"constellations,":[17],"such":[18],"as":[19],"nonbinary":[20],"two-sided":[21,89],"amplitude-shift":[22],"keying":[23],"(ASK)":[24],"and":[25,75,95,104,119,130,186],"quadrature":[26],"amplitude":[27],"modulation":[28],"(QAM)":[29],"&#x2265;":[31],"8":[32],"levels.":[33],"Due":[34],"to":[35,192],"asymmetries,":[37],"achieving":[40,113,133,151],"input":[41,72,114,134,153,165],"or":[42],"a":[43,67],"priori":[44],"probability":[45,115,135,154,166],"distributions":[46],"deviate":[47],"from":[48],"uniformity.":[49],"To":[50],"perform":[51],"investigation,":[53],"an":[54,64],"analytical":[55,97],"expression":[56],"for":[57,101,177],"mutual":[59,124],"information,":[60],"terms":[62],"integral":[65],"over":[66,159],"single":[68],"variable,":[69],"between":[70],"(transmitted":[73],"symbol)":[74],"output":[77],"(received":[78],"signal":[79],"vector":[80],"comprising":[81],"signals":[82],"at":[83,143,169],"receive":[84,181],"antennas),":[85],"is":[86,174],"derived.":[87],"For":[88],"ASK,":[90],"8-QAM":[91],"cross":[93],"constellation,":[94],"16-QAM,":[96],"closed":[98],"form":[99],"expressions":[100],"high":[103,170,185],"low":[105,144,187],"signal-to-noise":[106],"(SNR)":[107],"approximations,":[108],"respectively,":[109],"distribution,":[116,167],"capacity,":[118],"relative":[121],"gain":[122],"information":[125],"(between":[126],"uniform":[129,164],"distributions)":[136],"are":[137,190],"obtained.":[138],"Numerical":[139],"results":[140],"show":[141],"that":[142],"SNRs,":[145,171],"use":[147,161],"nonuniform":[152],"distribution":[155],"offers":[156],"significant":[157,175],"advantage":[158,173],"while":[168],"this":[172],"only":[176],"configurations":[178],"one":[180],"antenna.":[182],"Furthermore,":[183],"SNR":[188],"approximations":[189],"shown":[191],"be":[193],"reasonably":[194],"accurate.":[195]},"counts_by_year":[{"year":2025,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
