{"id":"https://openalex.org/W2087518575","doi":"https://doi.org/10.1109/dyspan.2012.6478132","title":"A closed-form solution to the power minimization problem over two orthogonal frequency bands under QoS and Cognitive Radio interference constraints","display_name":"A closed-form solution to the power minimization problem over two orthogonal frequency bands under QoS and Cognitive Radio interference constraints","publication_year":2012,"publication_date":"2012-10-01","ids":{"openalex":"https://openalex.org/W2087518575","doi":"https://doi.org/10.1109/dyspan.2012.6478132","mag":"2087518575"},"language":"en","primary_location":{"id":"doi:10.1109/dyspan.2012.6478132","is_oa":false,"landing_page_url":"https://doi.org/10.1109/dyspan.2012.6478132","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Symposium on Dynamic Spectrum Access Networks","raw_type":"proceedings-article"},"type":"preprint","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/A5040731611","display_name":"Raouia Masmoudi Ghodhbane","orcid":"https://orcid.org/0000-0002-2913-3507"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I142899784","display_name":"University of Sfax","ror":"https://ror.org/04d4sd432","country_code":"TN","type":"education","lineage":["https://openalex.org/I142899784"]},{"id":"https://openalex.org/I4210142324","display_name":"CY Cergy Paris Universit\u00e9","ror":"https://ror.org/043htjv09","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210142324"]},{"id":"https://openalex.org/I86175216","display_name":"\u00c9cole Nationale Sup\u00e9rieure de l'\u00c9lectronique et de ses Applications","ror":"https://ror.org/03qeacd72","country_code":"FR","type":"education","lineage":["https://openalex.org/I86175216"]}],"countries":["FR","TN"],"is_corresponding":true,"raw_author_name":"Raouia Masmoudi","raw_affiliation_strings":["ETIS/ ENSEA, CNRS, Universit\u00e9 Cergy-Pontoise, Cergy-Pontoise, France","LETI, ENIS, University of Sfax, Sfax, Tunisia"],"affiliations":[{"raw_affiliation_string":"ETIS/ ENSEA, CNRS, Universit\u00e9 Cergy-Pontoise, Cergy-Pontoise, France","institution_ids":["https://openalex.org/I86175216","https://openalex.org/I4210142324","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LETI, ENIS, University of Sfax, Sfax, Tunisia","institution_ids":["https://openalex.org/I142899784"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043248870","display_name":"E. Veronica Belmega","orcid":"https://orcid.org/0000-0003-4336-4704"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210142324","display_name":"CY Cergy Paris Universit\u00e9","ror":"https://ror.org/043htjv09","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210142324"]},{"id":"https://openalex.org/I86175216","display_name":"\u00c9cole Nationale Sup\u00e9rieure de l'\u00c9lectronique et de ses Applications","ror":"https://ror.org/03qeacd72","country_code":"FR","type":"education","lineage":["https://openalex.org/I86175216"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"E. Veronica Belmega","raw_affiliation_strings":["ETIS/ ENSEA, CNRS, Universit\u00e9 Cergy-Pontoise, Cergy-Pontoise, France"],"affiliations":[{"raw_affiliation_string":"ETIS/ ENSEA, CNRS, Universit\u00e9 Cergy-Pontoise, Cergy-Pontoise, France","institution_ids":["https://openalex.org/I86175216","https://openalex.org/I4210142324","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082806200","display_name":"Inbar Fijalkow","orcid":"https://orcid.org/0000-0002-7322-6794"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210142324","display_name":"CY Cergy Paris Universit\u00e9","ror":"https://ror.org/043htjv09","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210142324"]},{"id":"https://openalex.org/I86175216","display_name":"\u00c9cole Nationale Sup\u00e9rieure de l'\u00c9lectronique et de ses Applications","ror":"https://ror.org/03qeacd72","country_code":"FR","type":"education","lineage":["https://openalex.org/I86175216"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Inbar Fijalkow","raw_affiliation_strings":["ETIS/ ENSEA, CNRS, Universit\u00e9 Cergy-Pontoise, Cergy-Pontoise, France"],"affiliations":[{"raw_affiliation_string":"ETIS/ ENSEA, CNRS, Universit\u00e9 Cergy-Pontoise, Cergy-Pontoise, France","institution_ids":["https://openalex.org/I86175216","https://openalex.org/I4210142324","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011305950","display_name":"Noura Sellami","orcid":"https://orcid.org/0000-0003-4349-3557"},"institutions":[{"id":"https://openalex.org/I142899784","display_name":"University of Sfax","ror":"https://ror.org/04d4sd432","country_code":"TN","type":"education","lineage":["https://openalex.org/I142899784"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"Noura Sellami","raw_affiliation_strings":["LETI, ENIS, University of Sfax, Sfax, Tunisia"],"affiliations":[{"raw_affiliation_string":"LETI, ENIS, University of Sfax, Sfax, Tunisia","institution_ids":["https://openalex.org/I142899784"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5040731611"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I142899784","https://openalex.org/I4210142324","https://openalex.org/I86175216"],"apc_list":null,"apc_paid":null,"fwci":1.1176,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.80427229,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"212","last_page":"222"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10579","display_name":"Cognitive Radio Networks and Spectrum Sensing","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/T10579","display_name":"Cognitive Radio Networks and Spectrum Sensing","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/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"}},{"id":"https://openalex.org/T12146","display_name":"Power Line Communications and Noise","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"}}],"keywords":[{"id":"https://openalex.org/keywords/cognitive-radio","display_name":"Cognitive radio","score":0.872299075126648},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.7379462122917175},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6375960111618042},{"id":"https://openalex.org/keywords/quality-of-service","display_name":"Quality of service","score":0.635979413986206},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5693134665489197},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5511934757232666},{"id":"https://openalex.org/keywords/radio-spectrum","display_name":"Radio spectrum","score":0.5457881689071655},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5374776124954224},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.483481228351593},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.47423475980758667},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44815078377723694},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3696134686470032},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.33112502098083496},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2877042889595032},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.18599268794059753},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11321726441383362},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10451623797416687}],"concepts":[{"id":"https://openalex.org/C149946192","wikidata":"https://www.wikidata.org/wiki/Q3235733","display_name":"Cognitive radio","level":3,"score":0.872299075126648},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.7379462122917175},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6375960111618042},{"id":"https://openalex.org/C5119721","wikidata":"https://www.wikidata.org/wiki/Q220501","display_name":"Quality of service","level":2,"score":0.635979413986206},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5693134665489197},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5511934757232666},{"id":"https://openalex.org/C92545706","wikidata":"https://www.wikidata.org/wiki/Q902174","display_name":"Radio spectrum","level":2,"score":0.5457881689071655},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5374776124954224},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.483481228351593},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.47423475980758667},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44815078377723694},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3696134686470032},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.33112502098083496},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2877042889595032},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.18599268794059753},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11321726441383362},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10451623797416687},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/dyspan.2012.6478132","is_oa":false,"landing_page_url":"https://doi.org/10.1109/dyspan.2012.6478132","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Symposium on Dynamic Spectrum Access Networks","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/12","display_name":"Responsible consumption and production","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W2058994941","https://openalex.org/W2103630930","https://openalex.org/W2122549035","https://openalex.org/W2157858960","https://openalex.org/W2166977026","https://openalex.org/W2167032653","https://openalex.org/W2787523326","https://openalex.org/W2949075259","https://openalex.org/W3139791590","https://openalex.org/W4250589301","https://openalex.org/W6683108228"],"related_works":["https://openalex.org/W2236567279","https://openalex.org/W2188389332","https://openalex.org/W4225341666","https://openalex.org/W3046087850","https://openalex.org/W1988869880","https://openalex.org/W185479762","https://openalex.org/W3161816731","https://openalex.org/W2224800885","https://openalex.org/W2392764151","https://openalex.org/W2153872761"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"a":[3,10,15,40,63,86,94],"Cognitive":[4],"Radio":[5],"(CR)":[6],"channel":[7],"composed":[8],"of":[9,21,43,66,82,97,100],"secondary":[11],"user":[12,17],"(SU)":[13],"and":[14,49,93,113],"primary":[16],"(PU).":[18],"An":[19],"analysis":[20,96,118],"the":[22,31,35,53,80,98,117],"power":[23],"minimization":[24],"over":[25],"several":[26],"orthogonal":[27,84],"frequency":[28],"bands":[29,85],"at":[30],"SU":[32],"level":[33],"under":[34],"following":[36],"constraints":[37,103],"is":[38,62,104],"provided:":[39],"minimum":[41],"Quality":[42],"Service":[44],"(QoS)":[45],"constraint,":[46],"maximum":[47],"peak":[48],"average":[50],"interference":[51],"to":[52],"PU":[54],"constraints.":[55],"The":[56],"general":[57],"solution,":[58],"when":[59],"it":[60],"exists,":[61],"water-filling":[64],"type":[65],"solution":[67,89],"which":[68],"can":[69,90],"be":[70,91],"computed":[71],"via":[72],"iterative":[73],"algorithms.":[74],"It":[75],"turns":[76],"out":[77],"that,":[78],"in":[79,106],"case":[81],"two":[83],"closed-form":[87],"analytical":[88],"found":[92],"complete":[95],"feasibility":[99],"these":[101],"opposing":[102],"presented":[105],"details.":[107],"Several":[108],"numerical":[109],"results":[110],"that":[111],"sustain":[112],"give":[114],"inside":[115],"into":[116],"are":[119],"also":[120],"discussed.":[121]},"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-17T18:11:37.981687","created_date":"2025-10-10T00:00:00"}