{"id":"https://openalex.org/W3189531057","doi":"https://doi.org/10.1109/icc42927.2021.9500655","title":"Energy Correlation Coefficient in Wirelessly Powered Networks with Energy Beamforming","display_name":"Energy Correlation Coefficient in Wirelessly Powered Networks with Energy Beamforming","publication_year":2021,"publication_date":"2021-06-01","ids":{"openalex":"https://openalex.org/W3189531057","doi":"https://doi.org/10.1109/icc42927.2021.9500655","mag":"3189531057"},"language":"en","primary_location":{"id":"doi:10.1109/icc42927.2021.9500655","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icc42927.2021.9500655","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICC 2021 - IEEE International Conference on Communications","raw_type":"proceedings-article"},"type":"conference-paper","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/A5010826342","display_name":"Na Deng","orcid":"https://orcid.org/0000-0002-9565-559X"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Na Deng","raw_affiliation_strings":["School of Information & Communication Engineering, Dalian University of Technology, Dalian, Liaoning, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information & Communication Engineering, Dalian University of Technology, Dalian, Liaoning, China","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003896287","display_name":"Martin Haenggi","orcid":"https://orcid.org/0000-0001-8547-0607"},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Martin Haenggi","raw_affiliation_strings":["Dept. of Electrical Engineering, University of Notre Dame, Notre Dame, IN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electrical Engineering, University of Notre Dame, Notre Dame, IN, USA","institution_ids":["https://openalex.org/I107639228"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9991999864578247,"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/T10069","display_name":"Antenna Design and Analysis","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/beamforming","display_name":"Beamforming","score":0.7653235197067261},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.6208876371383667},{"id":"https://openalex.org/keywords/poisson-point-process","display_name":"Poisson point process","score":0.5981411933898926},{"id":"https://openalex.org/keywords/correlation-coefficient","display_name":"Correlation coefficient","score":0.5688319802284241},{"id":"https://openalex.org/keywords/energy-harvesting","display_name":"Energy harvesting","score":0.5456708669662476},{"id":"https://openalex.org/keywords/spatial-correlation","display_name":"Spatial correlation","score":0.5339248180389404},{"id":"https://openalex.org/keywords/antenna","display_name":"Antenna (radio)","score":0.514358639717102},{"id":"https://openalex.org/keywords/stochastic-geometry","display_name":"Stochastic geometry","score":0.5092371702194214},{"id":"https://openalex.org/keywords/radio-frequency","display_name":"Radio frequency","score":0.46589767932891846},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43630820512771606},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.43531185388565063},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.42429062724113464},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.3920140266418457},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3462895154953003},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3069736361503601},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.30524778366088867},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.22062647342681885},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.20959997177124023},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.17821598052978516},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15338462591171265}],"concepts":[{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.7653235197067261},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.6208876371383667},{"id":"https://openalex.org/C16757284","wikidata":"https://www.wikidata.org/wiki/Q1145117","display_name":"Poisson point process","level":3,"score":0.5981411933898926},{"id":"https://openalex.org/C2780092901","wikidata":"https://www.wikidata.org/wiki/Q3433612","display_name":"Correlation coefficient","level":2,"score":0.5688319802284241},{"id":"https://openalex.org/C101518730","wikidata":"https://www.wikidata.org/wiki/Q930236","display_name":"Energy harvesting","level":3,"score":0.5456708669662476},{"id":"https://openalex.org/C150060386","wikidata":"https://www.wikidata.org/wiki/Q7574054","display_name":"Spatial correlation","level":2,"score":0.5339248180389404},{"id":"https://openalex.org/C21822782","wikidata":"https://www.wikidata.org/wiki/Q131214","display_name":"Antenna (radio)","level":2,"score":0.514358639717102},{"id":"https://openalex.org/C31243852","wikidata":"https://www.wikidata.org/wiki/Q1666739","display_name":"Stochastic geometry","level":2,"score":0.5092371702194214},{"id":"https://openalex.org/C74064498","wikidata":"https://www.wikidata.org/wiki/Q3396184","display_name":"Radio frequency","level":2,"score":0.46589767932891846},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43630820512771606},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.43531185388565063},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.42429062724113464},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.3920140266418457},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3462895154953003},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3069736361503601},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.30524778366088867},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.22062647342681885},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.20959997177124023},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.17821598052978516},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15338462591171265},{"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/icc42927.2021.9500655","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icc42927.2021.9500655","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICC 2021 - IEEE International Conference on Communications","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.9100000262260437}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W631335369","https://openalex.org/W1916723779","https://openalex.org/W1953553238","https://openalex.org/W2058705882","https://openalex.org/W2068499153","https://openalex.org/W2102413189","https://openalex.org/W2418526078","https://openalex.org/W2604977971","https://openalex.org/W2605069299","https://openalex.org/W2797684510","https://openalex.org/W3012028907","https://openalex.org/W3033505077"],"related_works":["https://openalex.org/W2023833916","https://openalex.org/W2963230071","https://openalex.org/W1607049962","https://openalex.org/W2342335616","https://openalex.org/W2799837476","https://openalex.org/W2430493507","https://openalex.org/W2751265095","https://openalex.org/W2170716293","https://openalex.org/W2947805744","https://openalex.org/W2949860582"],"abstract_inverted_index":{"The":[0],"spatial":[1],"correlation":[2,40,45,151,182],"of":[3,21,108,175],"the":[4,18,38,43,81,92,106,109,115,121,132,143,150,153,158,161,173,180],"energy":[5,11,39,44,69,134,181,186],"harvested":[6,133],"from":[7,183],"RF":[8,52],"transmitters,":[9],"named":[10],"correlation,":[12,140],"plays":[13],"a":[14,49,59,84],"key":[15],"role":[16],"in":[17,33,83,99,129,152,160],"performance":[19],"evaluation":[20],"wirelessly":[22],"powered":[23],"networks.":[24],"This":[25],"paper":[26],"introduces":[27],"an":[28,95],"analytical":[29],"framework":[30],"with":[31,118],"foundations":[32],"stochastic":[34],"geometry":[35],"to":[36,58,67,94,120,148],"characterize":[37],"based":[41],"on":[42,73,179],"coefficient":[46],"(ECC).":[47],"For":[48],"model":[50],"where":[51],"power":[53,78,89],"sources":[54],"are":[55],"distributed":[56],"according":[57],"Poisson":[60],"point":[61],"process":[62],"and":[63,112,141],"employ":[64],"beamforming":[65],"techniques":[66],"transfer":[68],"directionally,":[70],"we":[71],"focus":[72],"two":[74,110,136],"cases:":[75],"i)":[76],"each":[77,88],"source":[79,90],"points":[80,91],"beam":[82,93],"random":[85],"direction;":[86],"ii)":[87],"RF-powered":[96],"node":[97],"located":[98],"its":[100],"Voronoi":[101],"cell.":[102],"We":[103],"first":[104,154],"analyze":[105],"ECC":[107],"cases,":[111],"then":[113],"give":[114,169],"asymptotic":[116],"results":[117,168],"respect":[119],"antenna":[122,144],"array":[123,145],"size.":[124],"It":[125],"turns":[126],"out":[127],"that":[128],"both":[130],"cases":[131],"at":[135],"locations":[137],"exhibit":[138],"positive":[139],"when":[142],"size":[146],"tends":[147],"infinity,":[149],"case":[155,163],"vanishes":[156],"while":[157],"one":[159],"second":[162],"is":[164],"still":[165],"positive.":[166],"Numerical":[167],"useful":[170],"insights":[171],"into":[172],"effect":[174],"several":[176],"system":[177],"parameters":[178],"directed":[184],"wireless":[185],"transfer.":[187]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
