{"id":"https://openalex.org/W2113093056","doi":"https://doi.org/10.1109/acc.2007.4283002","title":"A Model Reduction Technique for IIR Filters using Balanced Realization","display_name":"A Model Reduction Technique for IIR Filters using Balanced Realization","publication_year":2007,"publication_date":"2007-07-01","ids":{"openalex":"https://openalex.org/W2113093056","doi":"https://doi.org/10.1109/acc.2007.4283002","mag":"2113093056"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2007.4283002","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2007.4283002","pdf_url":null,"source":{"id":"https://openalex.org/S4210168941","display_name":"Proceedings of the ... American Control Conference/Proceedings of the American Control Conference","issn_l":"0743-1619","issn":["0743-1619","2378-5861"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 American Control Conference","raw_type":"proceedings-article"},"type":"article","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/A5001745392","display_name":"Vahid R. Dehkordi","orcid":"https://orcid.org/0000-0002-1961-5377"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Vahid R. Dehkordi","raw_affiliation_strings":["Electrical Engineering Department, McGill University, Montreal, QUE, Canada","McGill University , Montreal"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, McGill University, Montreal, QUE, Canada","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"McGill University , Montreal","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023864111","display_name":"Amir G. Aghdam","orcid":"https://orcid.org/0000-0001-5180-0508"},"institutions":[{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Amir G. Aghdam","raw_affiliation_strings":["Electrical and Computer Engineering Department, Concordia University, Montreal, QUE, Canada","Electrical and Computer Engineering Department, Concordia University, Montr\u00e9al, QC H3G 1M8 Canada. e-mail: aghdam@ece.concordia.ca"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, Concordia University, Montreal, QUE, Canada","institution_ids":["https://openalex.org/I60158472"]},{"raw_affiliation_string":"Electrical and Computer Engineering Department, Concordia University, Montr\u00e9al, QC H3G 1M8 Canada. e-mail: aghdam@ece.concordia.ca","institution_ids":["https://openalex.org/I60158472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081097070","display_name":"Beno\u00eet Boulet","orcid":"https://orcid.org/0000-0002-3191-3967"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Benoit Boulet","raw_affiliation_strings":["Electrical Engineering Department, McGill University, Montreal, QUE, Canada","Electrical Engineering Department, McGill University, Montr\u00e9al, QC H3A 2A7 Canada. e-mail: boulet@cim.mcgill.ca"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, McGill University, Montreal, QUE, Canada","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"Electrical Engineering Department, McGill University, Montr\u00e9al, QC H3A 2A7 Canada. e-mail: boulet@cim.mcgill.ca","institution_ids":["https://openalex.org/I5023651"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5001745392"],"corresponding_institution_ids":["https://openalex.org/I5023651"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.16504854,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"39","issue":null,"first_page":"2899","last_page":"2904"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9753999710083008,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9753999710083008,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/infinite-impulse-response","display_name":"Infinite impulse response","score":0.9210362434387207},{"id":"https://openalex.org/keywords/2d-filters","display_name":"2D Filters","score":0.8644336462020874},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.6966974139213562},{"id":"https://openalex.org/keywords/finite-impulse-response","display_name":"Finite impulse response","score":0.5902891755104065},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5865721106529236},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5734801292419434},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5536035895347595},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.504604697227478},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4784936308860779},{"id":"https://openalex.org/keywords/digital-filter","display_name":"Digital filter","score":0.4647241234779358},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.42451754212379456},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.39883145689964294},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3704230785369873},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3704104423522949},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08867812156677246},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06563356518745422}],"concepts":[{"id":"https://openalex.org/C183816354","wikidata":"https://www.wikidata.org/wiki/Q665617","display_name":"Infinite impulse response","level":4,"score":0.9210362434387207},{"id":"https://openalex.org/C100106864","wikidata":"https://www.wikidata.org/wiki/Q16001029","display_name":"2D Filters","level":5,"score":0.8644336462020874},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.6966974139213562},{"id":"https://openalex.org/C198386975","wikidata":"https://www.wikidata.org/wiki/Q117785","display_name":"Finite impulse response","level":2,"score":0.5902891755104065},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5865721106529236},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5734801292419434},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5536035895347595},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.504604697227478},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4784936308860779},{"id":"https://openalex.org/C36390408","wikidata":"https://www.wikidata.org/wiki/Q1163067","display_name":"Digital filter","level":3,"score":0.4647241234779358},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.42451754212379456},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.39883145689964294},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3704230785369873},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3704104423522949},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08867812156677246},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06563356518745422},{"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2007.4283002","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2007.4283002","pdf_url":null,"source":{"id":"https://openalex.org/S4210168941","display_name":"Proceedings of the ... American Control Conference/Proceedings of the American Control Conference","issn_l":"0743-1619","issn":["0743-1619","2378-5861"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6100000143051147,"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1595764735","https://openalex.org/W1838694778","https://openalex.org/W1984714339","https://openalex.org/W2016281321","https://openalex.org/W2025883191","https://openalex.org/W2035822204","https://openalex.org/W2064733273","https://openalex.org/W2076420009","https://openalex.org/W2103740918","https://openalex.org/W2106542409","https://openalex.org/W2121565841","https://openalex.org/W2142708000","https://openalex.org/W2143511555","https://openalex.org/W2143615016","https://openalex.org/W2148373326","https://openalex.org/W2798813531","https://openalex.org/W4232188322","https://openalex.org/W4245187297","https://openalex.org/W6669591797","https://openalex.org/W6675466356","https://openalex.org/W6680857591","https://openalex.org/W6681899739","https://openalex.org/W6750458900","https://openalex.org/W6820230412"],"related_works":["https://openalex.org/W2142009384","https://openalex.org/W2810377961","https://openalex.org/W1511779429","https://openalex.org/W762710671","https://openalex.org/W4313296775","https://openalex.org/W3208746183","https://openalex.org/W2010296365","https://openalex.org/W2154498341","https://openalex.org/W2898725502","https://openalex.org/W2031892245"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,12,93],"method":[4],"is":[5,57,73],"proposed":[6,89],"to":[7,60,64],"reduce":[8],"the":[9,31,37,40,45,66,76,80,88,102,105],"order":[10,32,68,81],"of":[11,34,44,79,104],"single-input":[13],"single-output":[14],"(SISO)":[15],"infinite":[16],"impulse":[17],"response":[18],"(IIR)":[19],"digital":[20],"filter.":[21],"Since":[22],"unlike":[23],"IIR":[24,46],"filters":[25],"an":[26],"analytical":[27],"solution":[28],"exists":[29],"for":[30,75],"reduction":[33,82],"FIR":[35,51],"systems,":[36],"polynomials":[38],"in":[39,92],"numerator":[41],"and":[42,84],"denominator":[43],"filter":[47],"are":[48,96],"regarded":[49],"as":[50],"systems.":[52],"The":[53],"balanced":[54],"realization":[55],"technique":[56,90],"then":[58],"applied":[59],"each":[61],"polynomial":[62],"separately":[63],"obtain":[65],"reduced":[67],"model.":[69],"An":[70],"upper":[71],"bound":[72],"provided":[74],"infinity":[77],"norm":[78],"error":[83],"conditions":[85],"under":[86],"which":[87],"results":[91,100],"small":[94],"approximation":[95],"also":[97],"discussed.":[98],"Simulation":[99],"demonstrate":[101],"efficacy":[103],"technique.":[106]},"counts_by_year":[{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
