{"id":"https://openalex.org/W2524130724","doi":"https://doi.org/10.15439/2016f455","title":"Error analysis for the first-order Gaussian recursive filter operator","display_name":"Error analysis for the first-order Gaussian recursive filter operator","publication_year":2016,"publication_date":"2016-10-02","ids":{"openalex":"https://openalex.org/W2524130724","doi":"https://doi.org/10.15439/2016f455","mag":"2524130724"},"language":"en","primary_location":{"id":"doi:10.15439/2016f455","is_oa":true,"landing_page_url":"https://doi.org/10.15439/2016f455","pdf_url":"https://annals-csis.org/proceedings/2016/pliks/455.pdf","source":{"id":"https://openalex.org/S4220651875","display_name":"Annals of Computer Science and Information Systems","issn_l":"2300-5963","issn":["2300-5963"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4310317484","host_organization_name":"Polskie Towarzystwo Informatyczne","host_organization_lineage":["https://openalex.org/P4310317484"],"host_organization_lineage_names":["Polskie Towarzystwo Informatyczne"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Computer Science and Information Systems","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://annals-csis.org/proceedings/2016/pliks/455.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070800537","display_name":"Ardelio Galletti","orcid":"https://orcid.org/0000-0002-5208-6219"},"institutions":[{"id":"https://openalex.org/I183638586","display_name":"Parthenope University of Naples","ror":"https://ror.org/05pcv4v03","country_code":"IT","type":"education","lineage":["https://openalex.org/I183638586"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Ardelio Galletti","raw_affiliation_strings":["Department of Science and Technology Centro Direzionale, Isola C4, 80143, Naples, Italy","University of Naples \"Parthenope\""],"affiliations":[{"raw_affiliation_string":"Department of Science and Technology Centro Direzionale, Isola C4, 80143, Naples, Italy","institution_ids":[]},{"raw_affiliation_string":"University of Naples \"Parthenope\"","institution_ids":["https://openalex.org/I183638586"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075869833","display_name":"Giulio Giunta","orcid":"https://orcid.org/0000-0003-0101-6154"},"institutions":[{"id":"https://openalex.org/I183638586","display_name":"Parthenope University of Naples","ror":"https://ror.org/05pcv4v03","country_code":"IT","type":"education","lineage":["https://openalex.org/I183638586"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giulio Giunta","raw_affiliation_strings":["Department of Science and Technology Centro Direzionale, Isola C4, 80143, Naples, Italy","University of Naples \"Parthenope\""],"affiliations":[{"raw_affiliation_string":"Department of Science and Technology Centro Direzionale, Isola C4, 80143, Naples, Italy","institution_ids":[]},{"raw_affiliation_string":"University of Naples \"Parthenope\"","institution_ids":["https://openalex.org/I183638586"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5070800537"],"corresponding_institution_ids":["https://openalex.org/I183638586"],"apc_list":null,"apc_paid":null,"fwci":0.5045,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.7822327,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"8","issue":null,"first_page":"673","last_page":"678"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/gaussian-filter","display_name":"Gaussian filter","score":0.6778606176376343},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.6757121086120605},{"id":"https://openalex.org/keywords/truncation-error","display_name":"Truncation error","score":0.6718045473098755},{"id":"https://openalex.org/keywords/recursive-filter","display_name":"Recursive filter","score":0.6635516285896301},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.6040226221084595},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5983715653419495},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.5535394549369812},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5430487990379333},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4925101697444916},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4733429253101349},{"id":"https://openalex.org/keywords/filter-design","display_name":"Filter design","score":0.4628628194332123},{"id":"https://openalex.org/keywords/adaptive-filter","display_name":"Adaptive filter","score":0.46187806129455566},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.424378901720047},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33434638381004333},{"id":"https://openalex.org/keywords/root-raised-cosine-filter","display_name":"Root-raised-cosine filter","score":0.1822693943977356},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1385992467403412},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1162269115447998}],"concepts":[{"id":"https://openalex.org/C65892221","wikidata":"https://www.wikidata.org/wiki/Q1113935","display_name":"Gaussian filter","level":3,"score":0.6778606176376343},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6757121086120605},{"id":"https://openalex.org/C104942944","wikidata":"https://www.wikidata.org/wiki/Q3434686","display_name":"Truncation error","level":2,"score":0.6718045473098755},{"id":"https://openalex.org/C70518719","wikidata":"https://www.wikidata.org/wiki/Q16928317","display_name":"Recursive filter","level":5,"score":0.6635516285896301},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.6040226221084595},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5983715653419495},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.5535394549369812},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5430487990379333},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4925101697444916},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4733429253101349},{"id":"https://openalex.org/C22597639","wikidata":"https://www.wikidata.org/wiki/Q5449227","display_name":"Filter design","level":3,"score":0.4628628194332123},{"id":"https://openalex.org/C102248274","wikidata":"https://www.wikidata.org/wiki/Q168388","display_name":"Adaptive filter","level":2,"score":0.46187806129455566},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.424378901720047},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33434638381004333},{"id":"https://openalex.org/C76826599","wikidata":"https://www.wikidata.org/wiki/Q1248611","display_name":"Root-raised-cosine filter","level":4,"score":0.1822693943977356},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1385992467403412},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1162269115447998},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.15439/2016f455","is_oa":true,"landing_page_url":"https://doi.org/10.15439/2016f455","pdf_url":"https://annals-csis.org/proceedings/2016/pliks/455.pdf","source":{"id":"https://openalex.org/S4220651875","display_name":"Annals of Computer Science and Information Systems","issn_l":"2300-5963","issn":["2300-5963"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4310317484","host_organization_name":"Polskie Towarzystwo Informatyczne","host_organization_lineage":["https://openalex.org/P4310317484"],"host_organization_lineage_names":["Polskie Towarzystwo Informatyczne"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Computer Science and Information Systems","raw_type":"proceedings-article"},{"id":"pmh:oai:doaj.org/article:5b0444b3955e4fd2a63e30ee6ac5f0a1","is_oa":true,"landing_page_url":"https://doaj.org/article/5b0444b3955e4fd2a63e30ee6ac5f0a1","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Annals of computer science and information systems, Vol 8, Pp 673-678 (2016)","raw_type":"article"},{"id":"pmh:oai:ricerca.uniparthenope.it:11367/56672","is_oa":false,"landing_page_url":"http://hdl.handle.net/11367/56672","pdf_url":null,"source":{"id":"https://openalex.org/S4377196432","display_name":"CINECA IRIS Institutial research information system (Parthenope University of Naples)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I183638586","host_organization_name":"Parthenope University of Naples","host_organization_lineage":["https://openalex.org/I183638586"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:zenodo.org:114009","is_oa":true,"landing_page_url":"https://www.openaccessrepository.it/record/114009","pdf_url":null,"source":{"id":"https://openalex.org/S4306402478","display_name":"INFM-OAR (INFN Catania)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210116497","host_organization_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Catania","host_organization_lineage":["https://openalex.org/I4210116497"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferencePaper"}],"best_oa_location":{"id":"doi:10.15439/2016f455","is_oa":true,"landing_page_url":"https://doi.org/10.15439/2016f455","pdf_url":"https://annals-csis.org/proceedings/2016/pliks/455.pdf","source":{"id":"https://openalex.org/S4220651875","display_name":"Annals of Computer Science and Information Systems","issn_l":"2300-5963","issn":["2300-5963"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4310317484","host_organization_name":"Polskie Towarzystwo Informatyczne","host_organization_lineage":["https://openalex.org/P4310317484"],"host_organization_lineage_names":["Polskie Towarzystwo Informatyczne"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Computer Science and Information Systems","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2524130724.pdf","grobid_xml":"https://content.openalex.org/works/W2524130724.grobid-xml"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W633083373","https://openalex.org/W1528209651","https://openalex.org/W1911378895","https://openalex.org/W1981867789","https://openalex.org/W2028669788","https://openalex.org/W2040784485","https://openalex.org/W2097627832","https://openalex.org/W2132361536","https://openalex.org/W2155919893","https://openalex.org/W2302518926","https://openalex.org/W6682860199"],"related_works":["https://openalex.org/W2040666836","https://openalex.org/W2238041693","https://openalex.org/W2112774109","https://openalex.org/W125347959","https://openalex.org/W1990789772","https://openalex.org/W2536422707","https://openalex.org/W24145419","https://openalex.org/W2036329708","https://openalex.org/W2073514592","https://openalex.org/W138907054"],"abstract_inverted_index":{"Nowadays,":[0],"recursive":[1,33,105],"filters":[2,25,34],"(RFs)":[3],"are":[4],"frequently":[5],"used":[6],"in":[7,12],"several":[8],"research":[9],"fields.":[10],"More":[11],"particular,":[13],"Gaussian":[14,24,104],"RFs":[15],"offer":[16],"a":[17,90],"more":[18],"efficient":[19],"way":[20],"for":[21],"computing":[22],"approximate":[23],"and":[26,69,123],"Gaussian-based":[27],"convolutions.":[28],"The":[29],"use":[30],"of":[31,38,77,92,101,114],"such":[32],"introduces":[35],"many":[36],"sources":[37],"errors.":[39],"Among":[40],"them,":[41],"here":[42],"we":[43,97,118],"consider":[44,98],"the":[45,51,55,58,63,75,78,93,99,102,111,115,120,129],"filter":[46,60,80,130],"truncation":[47,131],"error,":[48],"that":[49,127],"is":[50],"error":[52,121],"due":[53],"to":[54,62],"transition":[56],"from":[57,89],"starting":[59,88],"operator":[61,81],"RF":[64],"approximating":[65],"it.":[66],"Since":[67],"input":[68],"output":[70],"signals":[71],"have":[72],"infinite":[73,83],"dimensions,":[74],"analysis":[76,122],"related":[79,116],"involves":[82],"matrices.":[84],"In":[85],"this":[86],"paper,":[87],"summary":[91],"comprehensive":[94],"mathematical":[95],"background,":[96],"case":[100],"first-order":[103],"filter.":[106],"Then,":[107],"taking":[108],"into":[109],"account":[110],"matrix":[112],"form":[113],"operator,":[117],"perform":[119],"provide":[124],"theoretical":[125],"results":[126],"estimate":[128],"error.":[132]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}