{"id":"https://openalex.org/W1975425149","doi":"https://doi.org/10.1109/tit.2012.2208550","title":"Distributed Optimization in an Energy-Constrained Network: Analog Versus Digital Communication Schemes","display_name":"Distributed Optimization in an Energy-Constrained Network: Analog Versus Digital Communication Schemes","publication_year":2012,"publication_date":"2012-07-13","ids":{"openalex":"https://openalex.org/W1975425149","doi":"https://doi.org/10.1109/tit.2012.2208550","mag":"1975425149"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2012.2208550","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2208550","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/A5113666403","display_name":"Alireza Razavi","orcid":null},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alireza Razavi","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN, USA","Dept. of Electr. & Comput. Eng, Univ. of Minnesota, Minneapolis, MN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN, USA","institution_ids":["https://openalex.org/I130238516"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng, Univ. of Minnesota, Minneapolis, MN, USA","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100398451","display_name":"Wenbo Zhang","orcid":"https://orcid.org/0000-0002-0866-6902"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenbo Zhang","raw_affiliation_strings":["School of Science, Beijing University of Posts and Telecommunications, Beijing, China","Sch. of Sci., Beijing Univ. of Posts & Telecommun., Beijing, , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Beijing University of Posts and Telecommunications, Beijing, China","institution_ids":["https://openalex.org/I139759216"]},{"raw_affiliation_string":"Sch. of Sci., Beijing Univ. of Posts & Telecommun., Beijing, , China","institution_ids":["https://openalex.org/I139759216"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101766226","display_name":"Zhi\u2010Quan Luo","orcid":"https://orcid.org/0000-0003-3995-914X"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhi-Quan Luo","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN, USA","Dept. of Electr. & Comput. Eng, Univ. of Minnesota, Minneapolis, MN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN, USA","institution_ids":["https://openalex.org/I130238516"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng, Univ. of Minnesota, Minneapolis, MN, USA","institution_ids":["https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7981,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.77216816,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"59","issue":"3","first_page":"1803","last_page":"1817"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998999834060669,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998999834060669,"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/T11392","display_name":"Energy Harvesting in Wireless Networks","score":0.9991000294685364,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9979000091552734,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5108842253684998},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49351656436920166},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3897289037704468},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.32605552673339844}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5108842253684998},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49351656436920166},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3897289037704468},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32605552673339844},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2012.2208550","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2208550","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":[{"display_name":"Affordable and clean energy","score":0.44999998807907104,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W139031692","https://openalex.org/W1552282155","https://openalex.org/W1603765807","https://openalex.org/W1971942712","https://openalex.org/W1994616650","https://openalex.org/W2006600108","https://openalex.org/W2093590551","https://openalex.org/W2107396783","https://openalex.org/W2108970807","https://openalex.org/W2114085163","https://openalex.org/W2117412539","https://openalex.org/W2117905067","https://openalex.org/W2120613449","https://openalex.org/W2124541940","https://openalex.org/W2129580240","https://openalex.org/W2140655807","https://openalex.org/W2148164553","https://openalex.org/W2154834860","https://openalex.org/W2169817159","https://openalex.org/W3149063592","https://openalex.org/W4231039697","https://openalex.org/W4252806349","https://openalex.org/W6685026744"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2478288626","https://openalex.org/W4391913857"],"abstract_inverted_index":{"We":[0],"consider":[1,78],"a":[2,7,21,50,160],"distributed":[3],"optimization":[4],"problem":[5,60],"whereby":[6],"network":[8],"of":[9,52,58,71,86,98,137],"n":[10],"nodes,":[11],"S\u2113,":[12],"\u2113":[13],"\u2208":[14],"{1,":[15],"...,":[16],"n},":[17],"wishes":[18],"to":[19,104,125],"minimize":[20],"common":[22],"strongly":[23],"convex":[24,145],"function":[25],"f(x),":[26],"x=[x1,...,xn]T,":[27],"under":[28],"the":[29,65,69,84,95,110,122,135,151],"constraint":[30],"that":[31,121,150],"nodeS\u2113controls":[32],"variablex\u2113only.":[33],"The":[34],"nodes":[35,103],"locally":[36],"update":[37],"their":[38,44,47],"respective":[39],"variables":[40],"and":[41,68,82,139],"periodically":[42],"exchange":[43],"values":[45],"with":[46],"neighbors":[48],"over":[49],"set":[51],"predefined":[53],"communication":[54,80,87,99,117,123,163],"channels.":[55],"Previous":[56],"studies":[57],"this":[59,75,140],"have":[61],"focused":[62],"mainly":[63],"on":[64,89],"convergence":[66,72],"issue":[67],"analysis":[70],"rate.":[73],"In":[74,91],"study,":[76],"we":[77,93,119,148],"noisy":[79],"channels":[81],"study":[83,94],"impact":[85],"energy":[88,100,124,153],"convergence.":[90],"particular,":[92],"minimum":[96],"amount":[97],"required":[101],"for":[102],"obtain":[105,126],"an":[106,127],"\u03b5-minimizer":[107,128],"off(x)":[108,129],"in":[109],"mean":[111],"square":[112],"sense.":[113],"For":[114],"linear":[115],"analog":[116],"schemes,":[118],"prove":[120],"must":[130],"grow":[131],"at":[132,134],"least":[133],"rate":[136],"\u03a9(1/\u03b5),":[138],"bound":[141],"is":[142,165],"tight":[143],"whenfis":[144],"quadratic.":[146],"Furthermore,":[147],"show":[149],"same":[152],"requirement":[154],"can":[155],"be":[156],"reduced":[157],"toO(log21/\u03b5)":[158],"if":[159],"suitable":[161],"digital":[162],"scheme":[164],"used.":[166]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}