{"id":"https://openalex.org/W2048255984","doi":"https://doi.org/10.1109/sips.2013.6674540","title":"Reliable implementation of linear filters with fixed-point arithmetic","display_name":"Reliable implementation of linear filters with fixed-point arithmetic","publication_year":2013,"publication_date":"2013-10-01","ids":{"openalex":"https://openalex.org/W2048255984","doi":"https://doi.org/10.1109/sips.2013.6674540","mag":"2048255984"},"language":"en","primary_location":{"id":"doi:10.1109/sips.2013.6674540","is_oa":false,"landing_page_url":"https://doi.org/10.1109/sips.2013.6674540","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SiPS 2013 Proceedings","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.sorbonne-universite.fr/hal-01076048","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038191154","display_name":"Thibault Hilaire","orcid":"https://orcid.org/0009-0008-7324-8767"},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Thibault Hilaire","raw_affiliation_strings":["LIP6, Pierre and Marie Curie University (UPMC Univ Paris 06), Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIP6, Pierre and Marie Curie University (UPMC Univ Paris 06), Paris, France","institution_ids":["https://openalex.org/I39804081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043793232","display_name":"Beno\u00eet Lopez","orcid":null},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Benoit Lopez","raw_affiliation_strings":["LIP6, Pierre and Marie Curie University (UPMC Univ Paris 06), Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIP6, Pierre and Marie Curie University (UPMC Univ Paris 06), Paris, France","institution_ids":["https://openalex.org/I39804081"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I39804081"],"apc_list":null,"apc_paid":null,"fwci":1.9064,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.84724409,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"401","last_page":"406"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9760000109672546,"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/fixed-point-arithmetic","display_name":"Fixed-point arithmetic","score":0.8488492965698242},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.7397321462631226},{"id":"https://openalex.org/keywords/saturation-arithmetic","display_name":"Saturation arithmetic","score":0.6726753115653992},{"id":"https://openalex.org/keywords/quantization","display_name":"Quantization (signal processing)","score":0.6008639335632324},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5814509391784668},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5473738312721252},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5196215510368347},{"id":"https://openalex.org/keywords/round-off-error","display_name":"Round-off error","score":0.5134666562080383},{"id":"https://openalex.org/keywords/arbitrary-precision-arithmetic","display_name":"Arbitrary-precision arithmetic","score":0.5123597383499146},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5021405220031738},{"id":"https://openalex.org/keywords/affine-arithmetic","display_name":"Affine arithmetic","score":0.4890064001083374},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4625600576400757},{"id":"https://openalex.org/keywords/floating-point","display_name":"Floating point","score":0.46215516328811646},{"id":"https://openalex.org/keywords/digital-filter","display_name":"Digital filter","score":0.46067413687705994},{"id":"https://openalex.org/keywords/control-point","display_name":"Control point","score":0.45404258370399475},{"id":"https://openalex.org/keywords/linear-filter","display_name":"Linear filter","score":0.44732898473739624},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3969981372356415},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3271859288215637},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.2643841505050659},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.13066887855529785},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09812504053115845}],"concepts":[{"id":"https://openalex.org/C163973906","wikidata":"https://www.wikidata.org/wiki/Q649900","display_name":"Fixed-point arithmetic","level":3,"score":0.8488492965698242},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.7397321462631226},{"id":"https://openalex.org/C182775192","wikidata":"https://www.wikidata.org/wiki/Q913725","display_name":"Saturation arithmetic","level":3,"score":0.6726753115653992},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.6008639335632324},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5814509391784668},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5473738312721252},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5196215510368347},{"id":"https://openalex.org/C61005703","wikidata":"https://www.wikidata.org/wiki/Q2145211","display_name":"Round-off error","level":2,"score":0.5134666562080383},{"id":"https://openalex.org/C83581934","wikidata":"https://www.wikidata.org/wiki/Q527381","display_name":"Arbitrary-precision arithmetic","level":2,"score":0.5123597383499146},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5021405220031738},{"id":"https://openalex.org/C167315692","wikidata":"https://www.wikidata.org/wiki/Q3622729","display_name":"Affine arithmetic","level":3,"score":0.4890064001083374},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4625600576400757},{"id":"https://openalex.org/C84211073","wikidata":"https://www.wikidata.org/wiki/Q117879","display_name":"Floating point","level":2,"score":0.46215516328811646},{"id":"https://openalex.org/C36390408","wikidata":"https://www.wikidata.org/wiki/Q1163067","display_name":"Digital filter","level":3,"score":0.46067413687705994},{"id":"https://openalex.org/C2777774050","wikidata":"https://www.wikidata.org/wiki/Q16945110","display_name":"Control point","level":2,"score":0.45404258370399475},{"id":"https://openalex.org/C139722471","wikidata":"https://www.wikidata.org/wiki/Q2619517","display_name":"Linear filter","level":3,"score":0.44732898473739624},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3969981372356415},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3271859288215637},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.2643841505050659},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.13066887855529785},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09812504053115845},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/sips.2013.6674540","is_oa":false,"landing_page_url":"https://doi.org/10.1109/sips.2013.6674540","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SiPS 2013 Proceedings","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-01076048v1","is_oa":true,"landing_page_url":"https://hal.sorbonne-universite.fr/hal-01076048","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"Signal Processing Systems (SiPS), Oct 2013, Taipei, Taiwan. pp.401 - 406, ⟨10.1109/SiPS.2013.6674540⟩","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01076048v1","is_oa":true,"landing_page_url":"https://hal.sorbonne-universite.fr/hal-01076048","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"Signal Processing Systems (SiPS), Oct 2013, Taipei, Taiwan. pp.401 - 406, ⟨10.1109/SiPS.2013.6674540⟩","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W124815405","https://openalex.org/W1264452269","https://openalex.org/W1681090243","https://openalex.org/W1814021024","https://openalex.org/W1992292772","https://openalex.org/W2036870239","https://openalex.org/W2048234832","https://openalex.org/W2096182996","https://openalex.org/W2111620515","https://openalex.org/W2115504679","https://openalex.org/W2147533055","https://openalex.org/W2161254887","https://openalex.org/W2178885914","https://openalex.org/W2539710350","https://openalex.org/W2979011527","https://openalex.org/W6637330127","https://openalex.org/W6729160352"],"related_works":["https://openalex.org/W1272899506","https://openalex.org/W2113155657","https://openalex.org/W1965905913","https://openalex.org/W2312978184","https://openalex.org/W2184853271","https://openalex.org/W1496637154","https://openalex.org/W2142252430","https://openalex.org/W3141076328","https://openalex.org/W2125124730","https://openalex.org/W2048255984"],"abstract_inverted_index":{"This":[0],"article":[1],"deals":[2],"with":[3,11,50],"the":[4,18,21,31,35,39,51,55,81,88,93,98],"implementation":[5],"of":[6,17,34,53,67,80,87],"linear":[7,68],"filters":[8],"or":[9],"controllers":[10],"fixed-point":[12,40,78],"arithmetic.":[13],"The":[14],"finite":[15],"precision":[16],"computations":[19],"and":[20,46,84],"roundoff":[22],"errors":[23],"induced":[24],"may":[25],"have":[26],"an":[27,73,85],"important":[28],"impact":[29],"on":[30,59,92],"numerical":[32],"behavior":[33],"implemented":[36],"system.":[37],"More-over,":[38],"transformation":[41],"is":[42],"a":[43,60],"time":[44],"consuming":[45],"error-prone":[47],"task,":[48],"specially":[49],"objective":[52],"minimizing":[54],"quantization":[56],"impact.":[57],"Based":[58],"formalism":[61],"able":[62],"to":[63,76],"describe":[64],"every":[65],"structure":[66],"filters/controllers,":[69],"this":[70],"paper":[71],"proposes":[72],"automatic":[74],"method":[75],"generate":[77],"version":[79],"inputs-to-outputs":[82],"algorithm":[83],"analysis":[86],"global":[89],"error":[90],"added":[91],"output.":[94],"An":[95],"example":[96],"illustrates":[97],"approach.":[99]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}