{"id":"https://openalex.org/W2165562206","doi":"https://doi.org/10.1186/1687-6180-2013-20","title":"Dimension expansion and customized spring potentials for sensor localization","display_name":"Dimension expansion and customized spring potentials for sensor localization","publication_year":2013,"publication_date":"2013-02-15","ids":{"openalex":"https://openalex.org/W2165562206","doi":"https://doi.org/10.1186/1687-6180-2013-20","mag":"2165562206"},"language":"en","primary_location":{"id":"doi:10.1186/1687-6180-2013-20","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1687-6180-2013-20","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1186/1687-6180-2013-20","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1186/1687-6180-2013-20","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017710618","display_name":"Jieqi Yu","orcid":null},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jieqi Yu","raw_affiliation_strings":["Department of Electrical Engineering, Princeton University, Princeton, NJ, 08544, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University, Princeton, NJ, 08544, USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053530986","display_name":"Sanjeev R. Kulkarni","orcid":"https://orcid.org/0000-0002-5308-5250"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sanjeev R Kulkarni","raw_affiliation_strings":["Department of Electrical Engineering, Princeton University, Princeton, NJ, 08544, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University, Princeton, NJ, 08544, USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042307561","display_name":"H. Vincent Poor","orcid":"https://orcid.org/0000-0002-2062-131X"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"H Vincent Poor","raw_affiliation_strings":["Department of Electrical Engineering, Princeton University, Princeton, NJ, 08544, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University, Princeton, NJ, 08544, USA","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5017710618"],"corresponding_institution_ids":["https://openalex.org/I20089843"],"apc_list":{"value":1140,"currency":"GBP","value_usd":1398},"apc_paid":{"value":1140,"currency":"GBP","value_usd":1398},"fwci":0.4798,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.71764668,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"2013","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10326","display_name":"Indoor and Outdoor Localization Technologies","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/T10326","display_name":"Indoor and Outdoor Localization Technologies","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/T11192","display_name":"Underwater Vehicles and Communication Systems","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/T10080","display_name":"Energy Efficient Wireless Sensor Networks","score":0.9839000105857849,"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/maxima-and-minima","display_name":"Maxima and minima","score":0.766302227973938},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7044334411621094},{"id":"https://openalex.org/keywords/spring","display_name":"Spring (device)","score":0.6279200315475464},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5940835475921631},{"id":"https://openalex.org/keywords/wireless-sensor-network","display_name":"Wireless sensor network","score":0.5815052390098572},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5745931267738342},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5504534840583801},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5044978857040405},{"id":"https://openalex.org/keywords/radius-of-convergence","display_name":"Radius of convergence","score":0.47474604845046997},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4624588191509247},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4319824278354645},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.42419883608818054},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3347674012184143},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2108464241027832},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1527806520462036},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09927371144294739}],"concepts":[{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.766302227973938},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7044334411621094},{"id":"https://openalex.org/C2778712887","wikidata":"https://www.wikidata.org/wiki/Q102836","display_name":"Spring (device)","level":2,"score":0.6279200315475464},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5940835475921631},{"id":"https://openalex.org/C24590314","wikidata":"https://www.wikidata.org/wiki/Q336038","display_name":"Wireless sensor network","level":2,"score":0.5815052390098572},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5745931267738342},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5504534840583801},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5044978857040405},{"id":"https://openalex.org/C155568369","wikidata":"https://www.wikidata.org/wiki/Q1428097","display_name":"Radius of convergence","level":3,"score":0.47474604845046997},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4624588191509247},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4319824278354645},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.42419883608818054},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3347674012184143},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2108464241027832},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1527806520462036},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09927371144294739},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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:10.1186/1687-6180-2013-20","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1687-6180-2013-20","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1186/1687-6180-2013-20","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1186/1687-6180-2013-20","is_oa":true,"landing_page_url":"https://doi.org/10.1186/1687-6180-2013-20","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1186/1687-6180-2013-20","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1687-6172","issn":["1687-6172","1687-6180"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.41999998688697815}],"awards":[{"id":"https://openalex.org/G1739869781","display_name":null,"funder_award_id":"CCF-0939370","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2811237814","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G3540950588","display_name":null,"funder_award_id":"Grant N00014-12-1-0767","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G4246297169","display_name":null,"funder_award_id":"CCF-093937","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5783829085","display_name":null,"funder_award_id":"W911NF-07-1-0185","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G6244900323","display_name":null,"funder_award_id":"0939370","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7452299184","display_name":null,"funder_award_id":"W911NF","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G7685818843","display_name":null,"funder_award_id":"N00014-12-1","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8876996369","display_name":null,"funder_award_id":"N00014","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G8998121839","display_name":null,"funder_award_id":"911NF","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2165562206.pdf","grobid_xml":"https://content.openalex.org/works/W2165562206.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1485071356","https://openalex.org/W1965665622","https://openalex.org/W1988543519","https://openalex.org/W2012197287","https://openalex.org/W2027340862","https://openalex.org/W2038946940","https://openalex.org/W2054692776","https://openalex.org/W2100456966","https://openalex.org/W2101968848","https://openalex.org/W2104689338","https://openalex.org/W2104900626","https://openalex.org/W2110407935","https://openalex.org/W2111336388","https://openalex.org/W2116790923","https://openalex.org/W2120273661","https://openalex.org/W2123696099","https://openalex.org/W2137303972","https://openalex.org/W2156668452","https://openalex.org/W2161249924","https://openalex.org/W3117652987"],"related_works":["https://openalex.org/W2375684291","https://openalex.org/W2354676191","https://openalex.org/W3188646203","https://openalex.org/W136674370","https://openalex.org/W2909957174","https://openalex.org/W2105527480","https://openalex.org/W4320035781","https://openalex.org/W2052387497","https://openalex.org/W4246278799","https://openalex.org/W2050203848"],"abstract_inverted_index":{"The":[0,86],"spring":[1,24,55,73,102,144],"model":[2,25,56,145],"algorithm":[3,8,26,57],"is":[4,40,64,79,93,116,125],"an":[5],"important":[6],"distributed":[7],"for":[9,27],"solving":[10,28],"wireless":[11],"sensor":[12],"network":[13],"(WSN)":[14],"localization":[15,30,38],"problems.":[16],"This":[17,47],"article":[18],"proposes":[19],"several":[20],"improvements":[21],"on":[22],"the":[23,35,54,71,110,119,123,129,138,143],"WSN":[29],"problems":[31],"with":[32,159],"anchors.":[33],"First,":[34],"two-dimensional":[36],"(2D)":[37],"problem":[39],"solved":[41],"in":[42,156],"a":[43,100,157],"three-dimensional":[44],"(3D)":[45],"space.":[46],"\"dimension":[48],"expansion\"":[49],"technique":[50],"can":[51,135],"effectively":[52],"prevent":[53],"from":[58],"falling":[59],"into":[60,81],"local":[61],"minima,":[62],"which":[63,105],"verified":[65],"both":[66],"theoretically":[67],"and":[68,140],"empirically.":[69],"Second,":[70],"Hooke":[72],"force,":[74],"or":[75],"quadratic":[76],"potential":[77,84],"function,":[78,104],"generalized":[80],"L":[82],"p":[83,92],"functions.":[85],"optimality":[87],"of":[88,91,122,131,142,162],"different":[89,96],"values":[90],"considered":[94],"under":[95],"noise":[97],"environments.":[98],"Third,":[99],"customized":[101],"force":[103],"has":[106],"larger":[107],"strength":[108],"when":[109],"estimated":[111],"distance":[112],"between":[113],"two":[114],"sensors":[115],"close":[117],"to":[118,127],"true":[120],"length":[121],"spring,":[124],"proposed":[126],"increase":[128],"speed":[130],"convergence.":[132],"These":[133],"techniques":[134],"significantly":[136],"improve":[137],"robustness":[139],"efficiency":[141],"algorithm,":[146],"as":[147],"demonstrated":[148],"by":[149],"multiple":[150],"simulations.":[151],"They":[152],"are":[153],"particularly":[154],"effective":[155],"scenario":[158],"anchor":[160],"points":[161],"longer":[163],"broadcasting":[164],"radius":[165],"than":[166],"other":[167],"sensors.":[168]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}