{"id":"https://openalex.org/W2048234832","doi":"https://doi.org/10.1155/2011/893760","title":"Sensitivity-Based Pole and Input-Output Errors of Linear Filters as Indicators of the Implementation Deterioration in Fixed-Point Context","display_name":"Sensitivity-Based Pole and Input-Output Errors of Linear Filters as Indicators of the Implementation Deterioration in Fixed-Point Context","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2048234832","doi":"https://doi.org/10.1155/2011/893760","mag":"2048234832"},"language":"en","primary_location":{"id":"doi:10.1155/2011/893760","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/893760","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/2011/893760","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1110-8657","issn":["1110-8657","1687-0433","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/10.1155/2011/893760","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":true,"raw_author_name":"Thibault Hilaire","raw_affiliation_strings":["Laboratory of Computer Science (LIP6), University Pierre & Marie Curie, 75005, Paris, France","Laboratory of Computer Science, LIP6, University Pierre & Marie Curie, Paris, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Computer Science (LIP6), University Pierre & Marie Curie, 75005, Paris, France","institution_ids":["https://openalex.org/I39804081"]},{"raw_affiliation_string":"Laboratory of Computer Science, LIP6, University Pierre & Marie Curie, Paris, France#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034213992","display_name":"Philippe Chevrel","orcid":"https://orcid.org/0000-0002-7103-7463"},"institutions":[{"id":"https://openalex.org/I100445878","display_name":"\u00c9cole Centrale de Nantes","ror":"https://ror.org/03nh7d505","country_code":"FR","type":"education","lineage":["https://openalex.org/I100445878","https://openalex.org/I97188460"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Philippe Chevrel","raw_affiliation_strings":["Institut de Recherche en Cybern\u00e9tique et Communication de Nantes (UMR CNRS 6597), \u00c9cole des Mines de Nantes, 44321, Nantes Cedex, France","Institut de Recherche en Cybern\u00e9tique et Communication de Nantes, UMR CNRS 6597, \u00c9cole des Mines de Nantes, Nantes Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Recherche en Cybern\u00e9tique et Communication de Nantes (UMR CNRS 6597), \u00c9cole des Mines de Nantes, 44321, Nantes Cedex, France","institution_ids":["https://openalex.org/I100445878","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Institut de Recherche en Cybern\u00e9tique et Communication de Nantes, UMR CNRS 6597, \u00c9cole des Mines de Nantes, Nantes Cedex, France","institution_ids":["https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5038191154"],"corresponding_institution_ids":["https://openalex.org/I39804081"],"apc_list":{"value":1665,"currency":"USD","value_usd":1665},"apc_paid":{"value":1665,"currency":"USD","value_usd":1665},"fwci":0.572,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.74881195,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"2011","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/transfer-function","display_name":"Transfer function","score":0.6589125394821167},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.6454739570617676},{"id":"https://openalex.org/keywords/quantization","display_name":"Quantization (signal processing)","score":0.6191551089286804},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.564200222492218},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5415400266647339},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5247868895530701},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4935532808303833},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4853462278842926},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.46818721294403076},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.4652949571609497},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.46074405312538147},{"id":"https://openalex.org/keywords/linear-filter","display_name":"Linear filter","score":0.41728681325912476},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.4100061058998108},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3959885537624359},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10187414288520813},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08382317423820496}],"concepts":[{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.6589125394821167},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.6454739570617676},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.6191551089286804},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.564200222492218},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5415400266647339},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5247868895530701},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4935532808303833},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4853462278842926},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.46818721294403076},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.4652949571609497},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.46074405312538147},{"id":"https://openalex.org/C139722471","wikidata":"https://www.wikidata.org/wiki/Q2619517","display_name":"Linear filter","level":3,"score":0.41728681325912476},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.4100061058998108},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3959885537624359},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10187414288520813},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08382317423820496},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2011/893760","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/893760","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/2011/893760","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1110-8657","issn":["1110-8657","1687-0433","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EURASIP Journal on Advances in Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01146526v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01146526","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EURASIP Journal on Advances in Signal Processing, 2011, special issue on Quantization of VLSI Digital Signal Processing Systems, pp.893760. &#x27E8;10.1155/2011/893760&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:3b31c0295b7541a386aab29269c0843f","is_oa":true,"landing_page_url":"https://doaj.org/article/3b31c0295b7541a386aab29269c0843f","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"EURASIP Journal on Advances in Signal Processing, Vol 2011 (2011)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2011/893760","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/893760","pdf_url":"https://asp-eurasipjournals.springeropen.com/counter/pdf/10.1155/2011/893760","source":{"id":"https://openalex.org/S35920007","display_name":"EURASIP Journal on Advances in Signal Processing","issn_l":"1110-8657","issn":["1110-8657","1687-0433","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322892","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2048234832.pdf","grobid_xml":"https://content.openalex.org/works/W2048234832.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W124815405","https://openalex.org/W217065177","https://openalex.org/W1264452269","https://openalex.org/W1766451190","https://openalex.org/W1814021024","https://openalex.org/W1880311693","https://openalex.org/W1986740709","https://openalex.org/W1992292772","https://openalex.org/W2009704554","https://openalex.org/W2011212841","https://openalex.org/W2011216539","https://openalex.org/W2021868707","https://openalex.org/W2043438493","https://openalex.org/W2102440995","https://openalex.org/W2108124429","https://openalex.org/W2113091003","https://openalex.org/W2123906936","https://openalex.org/W2125201600","https://openalex.org/W2140802901","https://openalex.org/W2142285472","https://openalex.org/W2146264100","https://openalex.org/W2146471606","https://openalex.org/W2147533055","https://openalex.org/W2153342532","https://openalex.org/W2154251684","https://openalex.org/W2154993399","https://openalex.org/W2156904859","https://openalex.org/W2158980899","https://openalex.org/W2160674514","https://openalex.org/W2539710350","https://openalex.org/W3123791793"],"related_works":["https://openalex.org/W4291895924","https://openalex.org/W1783583321","https://openalex.org/W172022518","https://openalex.org/W2038397443","https://openalex.org/W2941374357","https://openalex.org/W2026727497","https://openalex.org/W86844572","https://openalex.org/W2122885457","https://openalex.org/W2147936855","https://openalex.org/W2028515668"],"abstract_inverted_index":{"Input-output":[0],"or":[1],"poles":[2],"sensitivity":[3,48,51,91],"is":[4,107],"widely":[5],"used":[6,85],"to":[7,15,88],"evaluate":[8],"the":[9,30,44,57,62,66,70,110],"resilience":[10],"of":[11,61,69,102],"a":[12,78],"filter":[13],"realization":[14],"coefficients":[16],"quantization":[17,80],"in":[18,38,65,86],"an":[19,115],"FWL":[20],"implementation":[21,32],"process.":[22],"However,":[23],"these":[24],"measures":[25,92],"do":[26],"not":[27,36],"exactly":[28],"consider":[29],"various":[31],"schemes":[33],"and":[34,49,97,105],"are":[35,94,112],"accurate":[37],"general":[39,67,100],"case.":[40],"This":[41],"paper":[42],"generalizes":[43],"classical":[45],"transfer":[46],"function":[47],"pole":[50],"measure,":[52],"by":[53],"taking":[54],"into":[55],"consideration":[56],"exact":[58],"fixed-point":[59],"representation":[60],"coefficients.":[63],"Working":[64],"framework":[68,101],"specialized":[71],"implicit":[72],"descriptor":[73],"representation,":[74],"it":[75],"shows":[76],"how":[77],"statistical":[79],"error":[81],"model":[82],"may":[83],"be":[84],"order":[87],"define":[89],"stochastic":[90],"that":[93],"definitely":[95],"pertinent":[96],"normalized.":[98],"The":[99],"MIMO":[103],"filters":[104],"controllers":[106],"considered.":[108],"All":[109],"results":[111],"illustrated":[113],"through":[114],"example.":[116]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}
