{"id":"https://openalex.org/W2033753692","doi":"https://doi.org/10.1109/allerton.2014.7028522","title":"A deterministic view on the capacity of bandlimited functions","display_name":"A deterministic view on the capacity of bandlimited functions","publication_year":2014,"publication_date":"2014-09-01","ids":{"openalex":"https://openalex.org/W2033753692","doi":"https://doi.org/10.1109/allerton.2014.7028522","mag":"2033753692"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2014.7028522","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2014.7028522","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 52nd Annual Allerton Conference on Communication, Control, and Computing (Allerton)","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/A5025871702","display_name":"Taehyung J. Lim","orcid":null},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Taehyung J. Lim","raw_affiliation_strings":["Dep. of Electrical & Computer Engineering, University of California, San Diego, CA","Dep. of Electrical & Computer Engineering, University of California at San Diego, La Jolla, CA, 92093-0407"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dep. of Electrical & Computer Engineering, University of California, San Diego, CA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"Dep. of Electrical & Computer Engineering, University of California at San Diego, La Jolla, CA, 92093-0407","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031065643","display_name":"Massimo Franceschcetti","orcid":null},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Massimo Franceschcetti","raw_affiliation_strings":["Dep. of Electrical & Computer Engineering, University of California, San Diego, CA","Dep. of Electrical & Computer Engineering, University of California at San Diego, La Jolla, CA, 92093-0407"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dep. of Electrical & Computer Engineering, University of California, San Diego, CA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"Dep. of Electrical & Computer Engineering, University of California at San Diego, La Jolla, CA, 92093-0407","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I36258959"],"apc_list":null,"apc_paid":null,"fwci":1.6316,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.81691624,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"44","issue":null,"first_page":"691","last_page":"698"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9973999857902527,"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":0.9973999857902527,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9904000163078308,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bandlimiting","display_name":"Bandlimiting","score":0.7237199544906616},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.7088930010795593},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5941734910011292},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.5657671689987183},{"id":"https://openalex.org/keywords/additive-white-gaussian-noise","display_name":"Additive white Gaussian noise","score":0.5651717185974121},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5511988997459412},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5164263844490051},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.505021870136261},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4936271905899048},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.47750920057296753},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47462213039398193},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.44033175706863403},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.43552589416503906},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.427865207195282},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.380222350358963},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34073472023010254},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.24216991662979126},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18302765488624573},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1719900667667389},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.1317385733127594},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1290234923362732}],"concepts":[{"id":"https://openalex.org/C129997835","wikidata":"https://www.wikidata.org/wiki/Q806263","display_name":"Bandlimiting","level":3,"score":0.7237199544906616},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.7088930010795593},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5941734910011292},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.5657671689987183},{"id":"https://openalex.org/C169334058","wikidata":"https://www.wikidata.org/wiki/Q353292","display_name":"Additive white Gaussian noise","level":3,"score":0.5651717185974121},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5511988997459412},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5164263844490051},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.505021870136261},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4936271905899048},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.47750920057296753},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47462213039398193},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.44033175706863403},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.43552589416503906},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.427865207195282},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.380222350358963},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34073472023010254},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.24216991662979126},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18302765488624573},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1719900667667389},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.1317385733127594},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1290234923362732},{"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/allerton.2014.7028522","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2014.7028522","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 52nd Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W18961980","https://openalex.org/W1965720095","https://openalex.org/W1972649231","https://openalex.org/W1977306104","https://openalex.org/W1995875735","https://openalex.org/W2001962595","https://openalex.org/W2004485838","https://openalex.org/W2020961882","https://openalex.org/W2021778537","https://openalex.org/W2056963858","https://openalex.org/W2074518966","https://openalex.org/W2090744237","https://openalex.org/W2104866660","https://openalex.org/W2114715837","https://openalex.org/W2135479785","https://openalex.org/W2296008594","https://openalex.org/W2316762840","https://openalex.org/W3112961938","https://openalex.org/W4239022279","https://openalex.org/W4252713891","https://openalex.org/W4254268944","https://openalex.org/W4299000130","https://openalex.org/W4299521717"],"related_works":["https://openalex.org/W1974392290","https://openalex.org/W2164596805","https://openalex.org/W1911817635","https://openalex.org/W3090071501","https://openalex.org/W2074565401","https://openalex.org/W2810224748","https://openalex.org/W2353656796","https://openalex.org/W2011915004","https://openalex.org/W3103566292","https://openalex.org/W1607924090"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,12,31,50,53,56,67,70,85,88],"relationship":[4],"between":[5,66],"Kolmogorov's":[6],"capacity":[7,10,33,54],"and":[8,27,69,73],"Shannon's":[9],"in":[11],"context":[13],"of":[14,44,52,55,87],"communication":[15,76],"with":[16],"square-intgrable,":[17],"bandlimited":[18],"signals":[19],"subject":[20],"to":[21,49],"additive":[22,57],"noise":[23,60],"is":[24,47],"illustrated.":[25],"Upper":[26],"lower":[28],"bounds":[29,46],"on":[30],"Kolmogorov":[32],"are":[34,78],"derived,":[35],"that":[36,75,83],"improve":[37],"upon":[38],"previous":[39],"results.":[40],"The":[41],"functional":[42],"form":[43],"these":[45],"analogous":[48],"one":[51],"white":[58],"Gaussian":[59],"channel,":[61],"showing":[62],"an":[63],"essential":[64],"similarity":[65],"deterministic":[68],"stochastic":[71],"approaches,":[72],"suggesting":[74],"limits":[77],"a":[79],"fundamental":[80],"physical":[81],"concept":[82],"transcends":[84],"details":[86],"specific":[89],"mathematical":[90],"description":[91],"chosen":[92],"for":[93],"their":[94],"representation.":[95]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
