{"id":"https://openalex.org/W2775081215","doi":"https://doi.org/10.1109/tit.2020.2998464","title":"On Capacity-Achieving Distributions for Complex AWGN Channels Under Nonlinear Power Constraints and Their Applications to SWIPT","display_name":"On Capacity-Achieving Distributions for Complex AWGN Channels Under Nonlinear Power Constraints and Their Applications to SWIPT","publication_year":2020,"publication_date":"2020-05-30","ids":{"openalex":"https://openalex.org/W2775081215","doi":"https://doi.org/10.1109/tit.2020.2998464","mag":"2775081215"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2020.2998464","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2020.2998464","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":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1712.01226","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055427031","display_name":"Morteza Varasteh","orcid":"https://orcid.org/0000-0002-1163-5074"},"institutions":[{"id":"https://openalex.org/I110002522","display_name":"University of Essex","ror":"https://ror.org/02nkf1q06","country_code":"GB","type":"education","lineage":["https://openalex.org/I110002522"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Morteza Varasteh","raw_affiliation_strings":["School of Computer Science and Electronic Engineering, University of Essex, Colchester, U.K","[School of Computer Science and Electronic Engineering, University of Essex, Colchester, U.K.]"],"raw_orcid":"https://orcid.org/0000-0002-1163-5074","affiliations":[{"raw_affiliation_string":"School of Computer Science and Electronic Engineering, University of Essex, Colchester, U.K","institution_ids":["https://openalex.org/I110002522"]},{"raw_affiliation_string":"[School of Computer Science and Electronic Engineering, University of Essex, Colchester, U.K.]","institution_ids":["https://openalex.org/I110002522"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090651472","display_name":"Borzoo Rassouli","orcid":"https://orcid.org/0000-0002-1171-8507"},"institutions":[{"id":"https://openalex.org/I110002522","display_name":"University of Essex","ror":"https://ror.org/02nkf1q06","country_code":"GB","type":"education","lineage":["https://openalex.org/I110002522"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Borzoo Rassouli","raw_affiliation_strings":["School of Computer Science and Electronic Engineering, University of Essex, Colchester, U.K","[School of Computer Science and Electronic Engineering, University of Essex, Colchester, U.K.]"],"raw_orcid":"https://orcid.org/0000-0002-1171-8507","affiliations":[{"raw_affiliation_string":"School of Computer Science and Electronic Engineering, University of Essex, Colchester, U.K","institution_ids":["https://openalex.org/I110002522"]},{"raw_affiliation_string":"[School of Computer Science and Electronic Engineering, University of Essex, Colchester, U.K.]","institution_ids":["https://openalex.org/I110002522"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070530952","display_name":"Bruno Clerckx","orcid":"https://orcid.org/0000-0001-5949-6459"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Bruno Clerckx","raw_affiliation_strings":["Imperial College London, London, U.K","Department of Electrical and Electronic Engineering, Imperial college London, London, U.K"],"raw_orcid":"https://orcid.org/0000-0001-5949-6459","affiliations":[{"raw_affiliation_string":"Imperial College London, London, U.K","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Imperial college London, London, U.K","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":0.0974,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.46637361,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"66","issue":"10","first_page":"6488","last_page":"6508"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11392","display_name":"Energy Harvesting in Wireless Networks","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/T11392","display_name":"Energy Harvesting in Wireless Networks","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/T11249","display_name":"Wireless Power Transfer Systems","score":0.9998000264167786,"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":0.9994000196456909,"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/additive-white-gaussian-noise","display_name":"Additive white Gaussian noise","score":0.8804409503936768},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.6131740808486938},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.6034319400787354},{"id":"https://openalex.org/keywords/maximum-power-transfer-theorem","display_name":"Maximum power transfer theorem","score":0.5516899824142456},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.5498261451721191},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.5324068665504456},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49557387828826904},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.46566319465637207},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.45690953731536865},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.430868923664093},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4272356927394867},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4139673113822937},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3880113959312439},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3556990623474121},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.27550286054611206},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.18055900931358337},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09765094518661499}],"concepts":[{"id":"https://openalex.org/C169334058","wikidata":"https://www.wikidata.org/wiki/Q353292","display_name":"Additive white Gaussian noise","level":3,"score":0.8804409503936768},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.6131740808486938},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6034319400787354},{"id":"https://openalex.org/C67186554","wikidata":"https://www.wikidata.org/wiki/Q17103352","display_name":"Maximum power transfer theorem","level":3,"score":0.5516899824142456},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.5498261451721191},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.5324068665504456},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49557387828826904},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.46566319465637207},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.45690953731536865},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.430868923664093},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4272356927394867},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4139673113822937},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3880113959312439},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3556990623474121},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.27550286054611206},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.18055900931358337},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09765094518661499},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tit.2020.2998464","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2020.2998464","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"},{"id":"pmh:oai:arXiv.org:1712.01226","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1712.01226","pdf_url":"https://arxiv.org/pdf/1712.01226","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"mag:2775081215","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1712.01226.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1712.01226","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1712.01226","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1712.01226","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1712.01226","pdf_url":"https://arxiv.org/pdf/1712.01226","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.6100000143051147}],"awards":[{"id":"https://openalex.org/G4472532370","display_name":null,"funder_award_id":"EP/P003885/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5423394294","display_name":"M2WPT - a large-scale Multi-antenna Multi-sine Wireless Power Transfer architecture","funder_award_id":"EP/P003885/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2775081215.pdf","grobid_xml":"https://content.openalex.org/works/W2775081215.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W578326062","https://openalex.org/W1494099594","https://openalex.org/W1534416612","https://openalex.org/W1639951707","https://openalex.org/W1969589212","https://openalex.org/W1995875735","https://openalex.org/W1998896473","https://openalex.org/W2031724611","https://openalex.org/W2032372805","https://openalex.org/W2061325568","https://openalex.org/W2090696688","https://openalex.org/W2101506680","https://openalex.org/W2110098571","https://openalex.org/W2111930879","https://openalex.org/W2118427197","https://openalex.org/W2133401839","https://openalex.org/W2142901448","https://openalex.org/W2144317756","https://openalex.org/W2147942702","https://openalex.org/W2149558668","https://openalex.org/W2154750699","https://openalex.org/W2170263567","https://openalex.org/W2336227589","https://openalex.org/W2556373857","https://openalex.org/W2565206597","https://openalex.org/W2593319849","https://openalex.org/W2597863109","https://openalex.org/W2962676728","https://openalex.org/W2962749998","https://openalex.org/W2962986521","https://openalex.org/W2963003103","https://openalex.org/W2963061380","https://openalex.org/W3014693365","https://openalex.org/W3098531328","https://openalex.org/W3099675104","https://openalex.org/W3136746979","https://openalex.org/W4300840296"],"related_works":["https://openalex.org/W3029318916","https://openalex.org/W2962986521","https://openalex.org/W2907195792","https://openalex.org/W2801657325","https://openalex.org/W2957284259","https://openalex.org/W2918460908","https://openalex.org/W1990002387","https://openalex.org/W1984604932","https://openalex.org/W1906294684","https://openalex.org/W1842604617","https://openalex.org/W2964676317","https://openalex.org/W2954046685","https://openalex.org/W2557308185","https://openalex.org/W2400075630","https://openalex.org/W3080577932","https://openalex.org/W2979472825","https://openalex.org/W2938340399","https://openalex.org/W2795480441","https://openalex.org/W2950934110","https://openalex.org/W2415023907"],"abstract_inverted_index":{"The":[0,29,237,256],"capacity":[1,59,78,95],"of":[2,39,42,45,60,79,136,153,239,285],"a":[3,52,101,111,120,193],"complex":[4,163],"and":[5,23,68,114,124,166,192,198,210,243,250,271,289],"discrete-time":[6],"memoryless":[7],"additive":[8],"white":[9],"Gaussian":[10,102,112,164,184,234],"noise":[11],"(AWGN)":[12],"channel":[13,47,63,82,155],"under":[14,64,83],"three":[15],"constraints,":[16,93],"namely,":[17],"input":[18,21,48,220,235,245],"average":[19,38,66,85],"power,":[20],"amplitude":[22],"output":[24,30],"delivered":[25,31,70,146,174,199,226],"power":[26,32,67,71,86,125,147,175,200,206],"is":[27,34,55,73,129,139,142,201,217],"studied.":[28],"constraint":[33],"modelled":[35],"as":[36,76],"the":[37,46,58,74,77,91,94,137,145,154,167,173,179,186,225,240,259,264,283],"linear":[40],"combination":[41],"even":[43],"moments":[44,152],"being":[49],"larger":[50,229],"than":[51],"threshold.":[53],"It":[54,141],"shown":[56,143],"that":[57,144,219],"an":[61,80,84,118,132],"AWGN":[62,81],"transmit":[65],"receiver":[69],"constraints":[72],"same":[75],"constraint.":[87],"However,":[88],"depending":[89],"on":[90,149,162,170,269,276],"two":[92],"can":[96],"be":[97],"either":[98],"achieved":[99],"by":[100,107,203,223,263],"distribution":[103,113],"or":[104],"arbitrarily":[105],"approached":[106],"using":[108],"time-sharing":[109],"between":[110,195,208],"On-Off":[115],"Keying.":[116],"As":[117],"application,":[119],"simultaneous":[121],"wireless":[122],"information":[123,197],"transfer":[126],"(SWIPT)":[127],"problem":[128],"studied,":[130],"where":[131],"experimentally-validated":[133],"nonlinear":[134],"model":[135],"harvester":[138,266],"used.":[140],"depends":[148],"higher":[150],"order":[151],"input.":[156],"Two":[157],"inner":[158],"bounds,":[159],"one":[160],"based":[161,169],"inputs":[165,188],"other":[168],"further":[171],"restricting":[172,224],"are":[176,189,247],"obtained":[177],"for":[178],"Rate-Power":[180],"(RP)":[181],"region.":[182],"For":[183],"inputs,":[185],"optimal":[187],"zero":[190],"mean":[191],"tradeoff":[194],"transmitted":[196],"recognized":[202],"considering":[204],"asymmetric":[205],"allocations":[207],"inphase":[209],"quadrature":[211],"subchannels.":[212],"Through":[213],"numerical":[214],"algorithms,":[215],"it":[216],"observed":[218],"distributions":[221,246],"(obtained":[222],"power)":[227],"attain":[228],"RP":[230],"region":[231],"compared":[232],"to":[233,278],"counterparts.":[236],"benefits":[238],"newly":[241],"developed":[242],"optimized":[244],"also":[248],"confirmed":[249],"validated":[251],"through":[252],"realistic":[253],"circuit":[254],"simulations.":[255],"results":[257],"reveal":[258],"crucial":[260],"role":[261],"played":[262],"energy":[265],"(EH)":[267],"nonlinearity":[268,281],"SWIPT":[270,286],"provide":[272],"new":[273],"engineering":[274],"guidelines":[275],"how":[277],"exploit":[279],"this":[280],"in":[282],"design":[284],"modulation,":[287],"signal":[288],"architecture.":[290]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}