{"id":"https://openalex.org/W2049853892","doi":"https://doi.org/10.1109/tit.2014.2333746","title":"Fading Channels With Arbitrary Inputs: Asymptotics of the Constrained Capacity and Information and Estimation Measures","display_name":"Fading Channels With Arbitrary Inputs: Asymptotics of the Constrained Capacity and Information and Estimation Measures","publication_year":2014,"publication_date":"2014-06-27","ids":{"openalex":"https://openalex.org/W2049853892","doi":"https://doi.org/10.1109/tit.2014.2333746","mag":"2049853892"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2014.2333746","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2333746","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","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/A5060049808","display_name":"Alberto Gil C. P. Ramos","orcid":null},"institutions":[{"id":"https://openalex.org/I4210120471","display_name":"Instituto de Telecomunica\u00e7\u00f5es","ror":"https://ror.org/02ht4fk33","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210120471"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Alberto Gil C. P. Ramos","raw_affiliation_strings":["Instituto de Telecomunica\u00e7\u00f5es, Porto, Portugal"],"affiliations":[{"raw_affiliation_string":"Instituto de Telecomunica\u00e7\u00f5es, Porto, Portugal","institution_ids":["https://openalex.org/I4210120471"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044634366","display_name":"Miguel R. D. Rodrigues","orcid":"https://orcid.org/0000-0002-8908-847X"},"institutions":[{"id":"https://openalex.org/I4210120471","display_name":"Instituto de Telecomunica\u00e7\u00f5es","ror":"https://ror.org/02ht4fk33","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210120471"]},{"id":"https://openalex.org/I182534213","display_name":"Universidade do Porto","ror":"https://ror.org/043pwc612","country_code":"PT","type":"education","lineage":["https://openalex.org/I182534213"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Miguel R. D. Rodrigues","raw_affiliation_strings":["Departamento de Ci\u00eancia de Computadores, Universidade do Porto, Porto, Portugal","Instituto de Telecomunica\u00e7\u00f5es, Porto, Portugal"],"affiliations":[{"raw_affiliation_string":"Departamento de Ci\u00eancia de Computadores, Universidade do Porto, Porto, Portugal","institution_ids":["https://openalex.org/I182534213"]},{"raw_affiliation_string":"Instituto de Telecomunica\u00e7\u00f5es, Porto, Portugal","institution_ids":["https://openalex.org/I4210120471"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5060049808"],"corresponding_institution_ids":["https://openalex.org/I4210120471"],"apc_list":null,"apc_paid":null,"fwci":0.2093,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.59289718,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"60","issue":"9","first_page":"5653","last_page":"5672"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","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/T10125","display_name":"Advanced Wireless Communication Techniques","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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9994999766349792,"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":0.9990000128746033,"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/fading","display_name":"Fading","score":0.8621877431869507},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6750733852386475},{"id":"https://openalex.org/keywords/channel-state-information","display_name":"Channel state information","score":0.6616532802581787},{"id":"https://openalex.org/keywords/additive-white-gaussian-noise","display_name":"Additive white Gaussian noise","score":0.6074853539466858},{"id":"https://openalex.org/keywords/rayleigh-fading","display_name":"Rayleigh fading","score":0.5581592917442322},{"id":"https://openalex.org/keywords/fading-distribution","display_name":"Fading distribution","score":0.5048404335975647},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.4643341302871704},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.454850971698761},{"id":"https://openalex.org/keywords/nakagami-distribution","display_name":"Nakagami distribution","score":0.4384942650794983},{"id":"https://openalex.org/keywords/minimum-mean-square-error","display_name":"Minimum mean square error","score":0.42617374658584595},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.4250679314136505},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.4142410457134247},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41244742274284363},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3843769431114197},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.34097832441329956},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2666134238243103},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.24574854969978333},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.23711520433425903},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.22039178013801575},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.2126215100288391},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.11083167791366577},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.10600870847702026}],"concepts":[{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.8621877431869507},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6750733852386475},{"id":"https://openalex.org/C148063708","wikidata":"https://www.wikidata.org/wiki/Q5072511","display_name":"Channel state information","level":3,"score":0.6616532802581787},{"id":"https://openalex.org/C169334058","wikidata":"https://www.wikidata.org/wiki/Q353292","display_name":"Additive white Gaussian noise","level":3,"score":0.6074853539466858},{"id":"https://openalex.org/C56985126","wikidata":"https://www.wikidata.org/wiki/Q854039","display_name":"Rayleigh fading","level":4,"score":0.5581592917442322},{"id":"https://openalex.org/C161126049","wikidata":"https://www.wikidata.org/wiki/Q5429266","display_name":"Fading distribution","level":5,"score":0.5048404335975647},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.4643341302871704},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.454850971698761},{"id":"https://openalex.org/C115098869","wikidata":"https://www.wikidata.org/wiki/Q3258347","display_name":"Nakagami distribution","level":4,"score":0.4384942650794983},{"id":"https://openalex.org/C90652560","wikidata":"https://www.wikidata.org/wiki/Q11091747","display_name":"Minimum mean square error","level":3,"score":0.42617374658584595},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.4250679314136505},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.4142410457134247},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41244742274284363},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3843769431114197},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.34097832441329956},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2666134238243103},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.24574854969978333},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.23711520433425903},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.22039178013801575},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.2126215100288391},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.11083167791366577},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.10600870847702026},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2014.2333746","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2333746","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","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":26,"referenced_works":["https://openalex.org/W2080450804","https://openalex.org/W2097695636","https://openalex.org/W2098234850","https://openalex.org/W2102313708","https://openalex.org/W2102591969","https://openalex.org/W2104072072","https://openalex.org/W2109310734","https://openalex.org/W2111616148","https://openalex.org/W2113341230","https://openalex.org/W2113991281","https://openalex.org/W2114404076","https://openalex.org/W2116485279","https://openalex.org/W2129766733","https://openalex.org/W2130192438","https://openalex.org/W2136464164","https://openalex.org/W2137736549","https://openalex.org/W2147431204","https://openalex.org/W2157638198","https://openalex.org/W2167455364","https://openalex.org/W2168089577","https://openalex.org/W2170833470","https://openalex.org/W2295513759","https://openalex.org/W4246941166","https://openalex.org/W4248218040","https://openalex.org/W4248676392","https://openalex.org/W4388254181"],"related_works":["https://openalex.org/W2048738685","https://openalex.org/W2099103262","https://openalex.org/W44456549","https://openalex.org/W2151261174","https://openalex.org/W2333604467","https://openalex.org/W2154562606","https://openalex.org/W2100512474","https://openalex.org/W2356860210","https://openalex.org/W2156188675","https://openalex.org/W2198113376"],"abstract_inverted_index":{"We":[0,157],"consider":[1],"the":[2,5,9,23,26,32,36,52,58,86,89,106,123,126,131,136,143,162,165,168],"characterization":[3],"of":[4,8,44,51,82,101,114,125,135,142,148,161,167,171,174],"asymptotic":[6,56,112],"behavior":[7],"average":[10,90,127,137],"minimum":[11],"mean-squared":[12],"error":[13],"(MMSE)":[14],"in":[15,57,140],"scalar":[16],"and":[17,72,77],"vector":[18],"fading":[19,28,37,71,178],"coherent":[20,63,177],"channels,":[21],"where":[22],"receiver":[24],"knows":[25,34],"exact":[27],"channel":[29,38],"state":[30],"but":[31],"transmitter":[33],"only":[35],"distribution,":[39],"driven":[40,73,180],"by":[41,74,181],"a":[42,99,110,149,172],"range":[43],"inputs.":[45,79,184],"In":[46],"particular,":[47],"we":[48],"construct":[49],"expansions":[50,84,124,134],"quantities":[53],"that":[54,88],"are":[55],"signal-to-noise":[59],"ratio":[60],"(snr)":[61],"for":[62],"channels":[64,179],"subject":[65],"to":[66,108,122,164],"Rayleigh,":[67],"Ricean":[68],"or":[69],"Nakagami":[70],"discrete":[75,183],"inputs":[76],"continuous":[78],"The":[80],"construction":[81],"these":[83],"leverages":[85],"fact":[87],"MMSE":[91,128,147],"can":[92],"be":[93],"seen":[94],"as":[95],"an":[96],"\u03c8-transform":[97],"with":[98,159],"kernel":[100],"monotonic":[102],"argument:":[103],"this":[104],"offers":[105],"means":[107],"use":[109],"powerful":[111],"expansion":[113],"integrals":[115],"technique-the":[116],"Mellin":[117],"transform":[118],"method-that":[119],"leads":[120],"immediately":[121],"and-":[129],"via":[130],"I-MMSE":[132],"relationship-to":[133],"mutual":[138],"information,":[139],"terms":[141],"so":[144],"called":[145],"canonical":[146],"standard":[150],"additive":[151],"white":[152],"Gaussian":[153],"noise":[154],"(AWGN)":[155],"channel.":[156],"conclude":[158],"applications":[160],"results":[163],"optimization":[166],"constrained":[169],"capacity":[170],"bank":[173],"parallel":[175],"independent":[176],"arbitrary":[182]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
