{"id":"https://openalex.org/W2119895058","doi":"https://doi.org/10.1109/tsp.2009.2014275","title":"A Generalized Iterative Water-Filling Algorithm for Distributed Power Control in the Presence of a Jammer","display_name":"A Generalized Iterative Water-Filling Algorithm for Distributed Power Control in the Presence of a Jammer","publication_year":2009,"publication_date":"2009-02-09","ids":{"openalex":"https://openalex.org/W2119895058","doi":"https://doi.org/10.1109/tsp.2009.2014275","mag":"2119895058"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2009.2014275","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2009.2014275","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","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/A5103057542","display_name":"Ramy H. Gohary","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"]},{"id":"https://openalex.org/I1322298273","display_name":"Innovation, Science and Economic Development Canada","ror":"https://ror.org/03zp01h17","country_code":"CA","type":"government","lineage":["https://openalex.org/I1322298273"]}],"countries":["CA","US"],"is_corresponding":true,"raw_author_name":"R.H. Gohary","raw_affiliation_strings":["Communications Research Centre, Industry Canada, Ottawa, ONT, Canada","Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN, USA"],"affiliations":[{"raw_affiliation_string":"Communications Research Centre, Industry Canada, Ottawa, ONT, Canada","institution_ids":["https://openalex.org/I1322298273"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN, USA","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006077874","display_name":"Yao Huang","orcid":"https://orcid.org/0000-0001-6923-4903"},"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":"Yao Huang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN, USA","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"middle","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"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN, USA","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002789695","display_name":"Jong\u2010Shi Pang","orcid":"https://orcid.org/0000-0002-2224-6787"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jong-Shi Pang","raw_affiliation_strings":["Department of Industrial and Enterprise Systems Engineering, University of Illinois, Urbana-Champaign, IL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Industrial and Enterprise Systems Engineering, University of Illinois, Urbana-Champaign, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5103057542"],"corresponding_institution_ids":["https://openalex.org/I130238516","https://openalex.org/I1322298273"],"apc_list":null,"apc_paid":null,"fwci":4.4861,"has_fulltext":false,"cited_by_count":72,"citation_normalized_percentile":{"value":0.94696378,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"57","issue":"7","first_page":"2660","last_page":"2674"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T10579","display_name":"Cognitive Radio Networks and Spectrum Sensing","score":0.9991999864578247,"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/T11498","display_name":"Security in Wireless Sensor Networks","score":0.9969000220298767,"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/nash-equilibrium","display_name":"Nash equilibrium","score":0.7336028218269348},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6554321050643921},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.6285271644592285},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6255093812942505},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6081364154815674},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5029022097587585},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.49765923619270325},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.4850403666496277},{"id":"https://openalex.org/keywords/jamming","display_name":"Jamming","score":0.47682350873947144},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.46423593163490295},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.43746769428253174},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.42605268955230713},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4224441349506378},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4184093475341797},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.4146592617034912},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33972108364105225},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11476010084152222}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.7336028218269348},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6554321050643921},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.6285271644592285},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6255093812942505},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6081364154815674},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5029022097587585},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.49765923619270325},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.4850403666496277},{"id":"https://openalex.org/C2779079576","wikidata":"https://www.wikidata.org/wiki/Q17092823","display_name":"Jamming","level":2,"score":0.47682350873947144},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.46423593163490295},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.43746769428253174},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.42605268955230713},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4224441349506378},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4184093475341797},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.4146592617034912},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33972108364105225},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11476010084152222},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","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/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2009.2014275","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2009.2014275","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Clean water and sanitation","score":0.7799999713897705,"id":"https://metadata.un.org/sdg/6"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W12587253","https://openalex.org/W186118836","https://openalex.org/W1488022194","https://openalex.org/W1488435683","https://openalex.org/W1495235237","https://openalex.org/W1543439990","https://openalex.org/W1603765807","https://openalex.org/W1987179348","https://openalex.org/W1989873462","https://openalex.org/W2002937495","https://openalex.org/W2071707134","https://openalex.org/W2086114280","https://openalex.org/W2091237335","https://openalex.org/W2099111195","https://openalex.org/W2107413438","https://openalex.org/W2108680348","https://openalex.org/W2111933819","https://openalex.org/W2124409123","https://openalex.org/W2132242363","https://openalex.org/W2144369278","https://openalex.org/W2167032653","https://openalex.org/W2168847332","https://openalex.org/W2275826847","https://openalex.org/W4249365614"],"related_works":["https://openalex.org/W4200319726","https://openalex.org/W2037619003","https://openalex.org/W2351377961","https://openalex.org/W1942228078","https://openalex.org/W2086942802","https://openalex.org/W4385270631","https://openalex.org/W2046073294","https://openalex.org/W4389741222","https://openalex.org/W2170408898","https://openalex.org/W2164136545"],"abstract_inverted_index":{"Consider":[0],"a":[1,8,11,44,84,112,132,140,160,185,199],"scenario":[2],"in":[3,42,82,131,171],"which":[4,152],"K":[5],"users":[6,20,62,123],"and":[7,21,63,124,180],"jammer":[9,23,126,200],"share":[10],"common":[12],"spectrum":[13],"of":[14,30,60,90,99,115,139,143,163,198],"N":[15,40],"orthogonal":[16],"tones.":[17],"Both":[18],"the":[19,22,39,48,58,64,74,88,91,96,100,104,116,122,125,137,153,164,177,191,196],"have":[24],"limited":[25],"power":[26,37,81,129],"budgets.":[27],"The":[28,71,166],"goal":[29],"each":[31],"user":[32],"is":[33],"to":[34,78,159,209],"allocate":[35,79],"its":[36,80],"across":[38],"tones":[41],"such":[43,83],"way":[45,85],"that":[46,52,86,94,168,189],"maximizes":[47],"total":[49,97],"sum":[50,98],"rate":[51],"he/she":[53],"can":[54,182,201],"achieve,":[55],"while":[56],"treating":[57],"interference":[59],"other":[61,75],"jammer's":[65],"signal":[66],"as":[67,147,149],"additive":[68],"Gaussian":[69],"noise.":[70],"jammer,":[72],"on":[73,176],"hand,":[76],"wishes":[77],"minimizes":[87],"utility":[89],"whole":[92],"system;":[93],"being":[95],"rates":[101],"communicated":[102],"over":[103],"network.":[105],"For":[106],"this":[107,144,172],"noncooperative":[108,145],"game,":[109],"we":[110,169],"propose":[111],"generalized":[113,154],"version":[114],"existing":[117],"iterative":[118,155,206],"water-filling":[119,156,207],"algorithm":[120,157,208],"whereby":[121],"update":[127],"their":[128],"allocations":[130],"greedy":[133],"manner.":[134],"We":[135],"study":[136],"existence":[138],"Nash":[141,161],"equilibrium":[142,162],"game":[146],"well":[148],"conditions":[150,167,193],"under":[151],"converges":[158],"game.":[165],"derive":[170],"paper":[173],"depend":[174],"only":[175],"system":[178],"parameters,":[179],"hence":[181],"be":[183],"checked":[184],"priori.":[186],"Simulations":[187],"show":[188],"when":[190],"convergence":[192],"are":[194],"violated,":[195],"presence":[197],"cause":[202],"the,":[203],"otherwise":[204],"convergent,":[205],"oscillate.":[210]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}