{"id":"https://openalex.org/W3195068536","doi":"https://doi.org/10.1109/tsp.2021.3106115","title":"Over-the-Air Computation in Correlated Channels","display_name":"Over-the-Air Computation in Correlated Channels","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3195068536","doi":"https://doi.org/10.1109/tsp.2021.3106115","mag":"3195068536"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2021.3106115","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2021.3106115","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2007.02648","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001013322","display_name":"Matthias Frey","orcid":"https://orcid.org/0000-0003-3016-2644"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Matthias Frey","raw_affiliation_strings":["Network Information Theory Group, Technische Universitt Berlin, 26524 Berlin, Berlin, Germany, 10587 (e-mail: matthias.frey@tu-berlin.de)","Technische Universit\u00e4t Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Network Information Theory Group, Technische Universitt Berlin, 26524 Berlin, Berlin, Germany, 10587 (e-mail: matthias.frey@tu-berlin.de)","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"Technische Universit\u00e4t Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064460928","display_name":"Igor Bjelakovi\u0107","orcid":"https://orcid.org/0000-0002-4588-6357"},"institutions":[{"id":"https://openalex.org/I2800274787","display_name":"Fraunhofer Institute for Telecommunications, Heinrich Hertz Institute","ror":"https://ror.org/02tbr6331","country_code":"DE","type":"facility","lineage":["https://openalex.org/I2800274787","https://openalex.org/I4923324"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Igor Bjelakovic","raw_affiliation_strings":["Fraunhofer Heinrich Hertz Institute, Berlin, Germany, (e-mail: igor.bjelakovic@hhi.fraunhofer.de)","Fraunhofer Heinrich Hertz Institute, Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Fraunhofer Heinrich Hertz Institute, Berlin, Germany, (e-mail: igor.bjelakovic@hhi.fraunhofer.de)","institution_ids":["https://openalex.org/I2800274787"]},{"raw_affiliation_string":"Fraunhofer Heinrich Hertz Institute, Berlin, Germany","institution_ids":["https://openalex.org/I2800274787"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068274314","display_name":"S\u0142awomir Sta\u0144czak","orcid":"https://orcid.org/0000-0003-3829-4668"},"institutions":[{"id":"https://openalex.org/I2800274787","display_name":"Fraunhofer Institute for Telecommunications, Heinrich Hertz Institute","ror":"https://ror.org/02tbr6331","country_code":"DE","type":"facility","lineage":["https://openalex.org/I2800274787","https://openalex.org/I4923324"]},{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Slawomir Stanczak","raw_affiliation_strings":["Fraunhofer Heinrich Hertz Institute, Berlin, Berlin, Germany, 10587 (e-mail: stanczak@ieee.org)","Fraunhofer Heinrich Hertz Institute, Berlin, Germany","Technische Universit\u00e4t Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Fraunhofer Heinrich Hertz Institute, Berlin, Berlin, Germany, 10587 (e-mail: stanczak@ieee.org)","institution_ids":["https://openalex.org/I2800274787"]},{"raw_affiliation_string":"Fraunhofer Heinrich Hertz Institute, Berlin, Germany","institution_ids":["https://openalex.org/I2800274787"]},{"raw_affiliation_string":"Technische Universit\u00e4t Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5001013322"],"corresponding_institution_ids":["https://openalex.org/I4577782"],"apc_list":null,"apc_paid":null,"fwci":1.829,"has_fulltext":true,"cited_by_count":21,"citation_normalized_percentile":{"value":0.85353991,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"69","issue":null,"first_page":"5739","last_page":"5755"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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"}},{"id":"https://openalex.org/T10761","display_name":"Vehicular Ad Hoc Networks (VANETs)","score":0.9958999752998352,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.994700014591217,"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/computation","display_name":"Computation","score":0.5567293167114258},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5017483234405518},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3560776710510254}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5567293167114258},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5017483234405518},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3560776710510254}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/tsp.2021.3106115","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2021.3106115","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"},{"id":"pmh:oai:arXiv.org:2007.02648","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2007.02648","pdf_url":"https://arxiv.org/pdf/2007.02648","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:arXiv.org:2101.04690","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2101.04690","pdf_url":"https://arxiv.org/pdf/2101.04690","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:fraunhofer.de:N-642074","is_oa":false,"landing_page_url":"http://publica.fraunhofer.de/documents/N-642074.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400801","display_name":"Publikationsdatenbank der Fraunhofer-Gesellschaft (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fraunhofer HHI","raw_type":"Journal Article"},{"id":"pmh:oai:null:publica/270269","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/270269","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"journal article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2007.02648","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2007.02648","pdf_url":"https://arxiv.org/pdf/2007.02648","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1055339152","display_name":null,"funder_award_id":"SPP 1914","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G3633743130","display_name":null,"funder_award_id":"SPP 1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6052429835","display_name":null,"funder_award_id":"(DFG)","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6743243744","display_name":null,"funder_award_id":"unknown","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G858061833","display_name":null,"funder_award_id":"SPP 1798","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320309480","display_name":"Nvidia","ror":"https://ror.org/03jdj4y14"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3195068536.pdf","grobid_xml":"https://content.openalex.org/works/W3195068536.grobid-xml"},"referenced_works_count":54,"referenced_works":["https://openalex.org/W628907222","https://openalex.org/W1482235099","https://openalex.org/W1552282155","https://openalex.org/W1809190717","https://openalex.org/W1973851222","https://openalex.org/W1995889201","https://openalex.org/W1998249287","https://openalex.org/W2005196269","https://openalex.org/W2025603103","https://openalex.org/W2027531092","https://openalex.org/W2087039524","https://openalex.org/W2101234009","https://openalex.org/W2123973657","https://openalex.org/W2128011496","https://openalex.org/W2137775453","https://openalex.org/W2140227342","https://openalex.org/W2154089176","https://openalex.org/W2165155912","https://openalex.org/W2169807982","https://openalex.org/W2170597157","https://openalex.org/W2171998198","https://openalex.org/W2535838896","https://openalex.org/W2538577282","https://openalex.org/W2541884796","https://openalex.org/W2565589031","https://openalex.org/W2907379776","https://openalex.org/W2912213068","https://openalex.org/W2921683186","https://openalex.org/W2959501060","https://openalex.org/W2963627329","https://openalex.org/W2969343398","https://openalex.org/W2981138228","https://openalex.org/W2991308345","https://openalex.org/W2999074226","https://openalex.org/W3003771358","https://openalex.org/W3003959415","https://openalex.org/W3006919779","https://openalex.org/W3028318515","https://openalex.org/W3041971333","https://openalex.org/W3045657448","https://openalex.org/W3048433592","https://openalex.org/W3081130510","https://openalex.org/W3087747475","https://openalex.org/W3102172735","https://openalex.org/W3104672023","https://openalex.org/W4245577611","https://openalex.org/W4250594701","https://openalex.org/W4255333822","https://openalex.org/W4297687186","https://openalex.org/W4318619660","https://openalex.org/W6633636181","https://openalex.org/W6675354045","https://openalex.org/W6684630565","https://openalex.org/W6728757088"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109"],"abstract_inverted_index":{"OTA":[0,61,78,193,232],"(Over-the-Air)":[1],"computation":[2,29,79,233],"is":[3,199,215],"the":[4,14,17,37,46,50,56,121,157,163,188,192],"problem":[5],"of":[6,9,16,45,52,84,99,115,123,187,191,229],"computing":[7],"functions":[8,59,64,85,89,95],"distributed":[10,189,249],"data":[11,18],"without":[12],"transmitting":[13],"entirety":[15],"to":[19],"a":[20,33,82,226,235],"central":[21],"point.":[22],"By":[23],"avoiding":[24],"such":[25,65,96,138,244],"costly":[26],"transmissions,":[27],"\\gls{ota}":[28],"schemes":[30],"can":[31,153],"achieve":[32],"better-than-linear":[34],"(depending":[35],"on":[36,183],"function,":[38],"often":[39],"logarithmic":[40],"or":[41,209],"even":[42],"constant)":[43],"scaling":[44],"communication":[47,240],"cost":[48,241],"as":[49,66,90,92,97,139,245],"number":[51,228],"transmitters":[53],"grows.":[54],"Among":[55],"most":[57],"common":[58],"computed":[60,194],"are":[62,107,205,223],"linear":[63,88],"weighted":[67],"sums.":[68],"In":[69,150],"this":[70,259],"work,":[71],"we":[72],"propose":[73],"and":[74,112,117,144,159,174,217],"analyze":[75],"an":[76],"analog":[77],"scheme":[80],"for":[81,109,169,225,238],"class":[83,122,127],"that":[86,106,162,202,222],"contains":[87],"well":[91],"some":[93],"nonlinear":[94],"p-norms":[98],"vectors.":[100],"We":[101,179,257],"prove":[102],"error":[103,220],"bound":[104],"guarantees":[105],"valid":[108,224],"fast-fading":[110],"channels":[111,173,175],"all":[113],"distributions":[114],"fading":[116,145,158,172],"noise":[118,143,160],"contained":[119],"in":[120,156,196,242,252],"sub-Gaussian":[124],"distributions.":[125,212],"This":[126],"includes":[128],"Gaussian":[129],"distributions,":[130],"but":[131],"also":[132,166],"many":[133],"other":[134],"practically":[135],"relevant":[136],"cases":[137],"Class":[140],"A":[141],"Middleton":[142],"with":[146,176],"dominant":[147],"line-of-sight":[148],"components.":[149],"addition,":[151],"there":[152,198],"be":[154],"correlations":[155],"so":[161],"presented":[164],"results":[165],"apply":[167],"to,":[168],"example,":[170],"block":[171],"bursty":[177],"interference.":[178],"do":[180],"not":[181],"rely":[182],"any":[184],"stochastic":[185],"characterization":[186],"arguments":[190,204],"function;":[195],"particular,":[197],"no":[200],"assumption":[201],"these":[203],"drawn":[206],"from":[207],"identical":[208],"independent":[210],"probability":[211],"Our":[213],"analysis":[214],"nonasymptotic":[216],"therefore":[218],"provides":[219],"bounds":[221],"finite":[227],"channel":[230],"uses.":[231],"has":[234],"huge":[236],"potential":[237,260],"reducing":[239],"applications":[243],"Machine":[246],"Learning":[247],"(ML)-based":[248],"anomaly":[250],"detection":[251],"large":[253],"wireless":[254],"sensor":[255],"networks.":[256],"illustrate":[258],"through":[261],"extensive":[262],"numerical":[263],"simulations.":[264]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}