{"id":"https://openalex.org/W2104256075","doi":"https://doi.org/10.1109/cdc.2005.1583104","title":"From IIR to FIR Digital MIMO Models: A Constructive Hankel Norm Approximation Method","display_name":"From IIR to FIR Digital MIMO Models: A Constructive Hankel Norm Approximation Method","publication_year":2006,"publication_date":"2006-10-04","ids":{"openalex":"https://openalex.org/W2104256075","doi":"https://doi.org/10.1109/cdc.2005.1583104","mag":"2104256075"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2005.1583104","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1583104","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://figshare.com/articles/conference_contribution/From_IIR_to_FIR_digital_MIMO_models_a_constructive_Hankel_norm_approximation_method/13462223","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100704809","display_name":"Li Chai","orcid":"https://orcid.org/0000-0002-4331-0565"},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]},{"id":"https://openalex.org/I56590836","display_name":"Monash University","ror":"https://ror.org/02bfwt286","country_code":"AU","type":"education","lineage":["https://openalex.org/I56590836"]}],"countries":["AU","CN"],"is_corresponding":false,"raw_author_name":"Li Chai","raw_affiliation_strings":["Department of Automation, Hangzhou Dianzi University, Hangzhou, China","Department of Electrical and Computer Systems Engineering, Monash University, Clayton, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automation, Hangzhou Dianzi University, Hangzhou, China","institution_ids":["https://openalex.org/I50760025"]},{"raw_affiliation_string":"Department of Electrical and Computer Systems Engineering, Monash University, Clayton, Australia","institution_ids":["https://openalex.org/I56590836"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100630365","display_name":"Jingxin Zhang","orcid":"https://orcid.org/0000-0003-2084-2849"},"institutions":[{"id":"https://openalex.org/I56590836","display_name":"Monash University","ror":"https://ror.org/02bfwt286","country_code":"AU","type":"education","lineage":["https://openalex.org/I56590836"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Jingxin Zhang","raw_affiliation_strings":["Department of Electrical and Computer Systems Engineering, Monash University, Clayton, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Systems Engineering, Monash University, Clayton, Australia","institution_ids":["https://openalex.org/I56590836"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047267372","display_name":"Cisheng Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Cisheng Zhang","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016978672","display_name":"E. Mosca","orcid":"https://orcid.org/0000-0003-4045-5328"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"E. Mosca","raw_affiliation_strings":["Dipartimento di Sistemi e Informatica, University\u00e1 di Firenze, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Sistemi e Informatica, University\u00e1 di Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2462,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.58390531,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"5893","last_page":"5898"},"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9961000084877014,"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"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9947999715805054,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.8122057914733887},{"id":"https://openalex.org/keywords/infinite-impulse-response","display_name":"Infinite impulse response","score":0.8071026802062988},{"id":"https://openalex.org/keywords/finite-impulse-response","display_name":"Finite impulse response","score":0.804160475730896},{"id":"https://openalex.org/keywords/approximation-theory","display_name":"Approximation theory","score":0.6166951060295105},{"id":"https://openalex.org/keywords/chebyshev-filter","display_name":"Chebyshev filter","score":0.5781572461128235},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.54927659034729},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.547362208366394},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.5219899415969849},{"id":"https://openalex.org/keywords/approximation-error","display_name":"Approximation error","score":0.5208964347839355},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.480951726436615},{"id":"https://openalex.org/keywords/constructive-proof","display_name":"Constructive proof","score":0.455797016620636},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.41357824206352234},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3737552762031555},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34516996145248413},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34183692932128906},{"id":"https://openalex.org/keywords/digital-filter","display_name":"Digital filter","score":0.3009682893753052},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2986341714859009},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17935389280319214},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.14630189538002014}],"concepts":[{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.8122057914733887},{"id":"https://openalex.org/C183816354","wikidata":"https://www.wikidata.org/wiki/Q665617","display_name":"Infinite impulse response","level":4,"score":0.8071026802062988},{"id":"https://openalex.org/C198386975","wikidata":"https://www.wikidata.org/wiki/Q117785","display_name":"Finite impulse response","level":2,"score":0.804160475730896},{"id":"https://openalex.org/C145242015","wikidata":"https://www.wikidata.org/wiki/Q774123","display_name":"Approximation theory","level":2,"score":0.6166951060295105},{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.5781572461128235},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.54927659034729},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.547362208366394},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.5219899415969849},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.5208964347839355},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.480951726436615},{"id":"https://openalex.org/C202854965","wikidata":"https://www.wikidata.org/wiki/Q3044470","display_name":"Constructive proof","level":2,"score":0.455797016620636},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.41357824206352234},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3737552762031555},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34516996145248413},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34183692932128906},{"id":"https://openalex.org/C36390408","wikidata":"https://www.wikidata.org/wiki/Q1163067","display_name":"Digital filter","level":3,"score":0.3009682893753052},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2986341714859009},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17935389280319214},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.14630189538002014},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc.2005.1583104","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1583104","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:acquire.cqu.edu.au:cqu:7506","is_oa":false,"landing_page_url":"http://hdl.cqu.edu.au/10018/62268","pdf_url":null,"source":{"id":"https://openalex.org/S4306400635","display_name":"Acquire (CQUniversity)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I74899385","host_organization_name":"Central Queensland University","host_organization_lineage":["https://openalex.org/I74899385"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Chai, L, Zhang, J, Zhang, C &amp; Mosca, E 2005, 'From IIR to FIR digital MIMO models: a constructive Hankel norm approximation method' in Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, 12-15 December, Spain, Institute of Electrical and Electronics Engineers, New York, NY, http://dx.doi.org/10.1109/CDC.2005.1583104","raw_type":"<dc:type>Conference Paper."},{"id":"pmh:oai:figshare.com:article/13462223","is_oa":true,"landing_page_url":"https://figshare.com/articles/conference_contribution/From_IIR_to_FIR_digital_MIMO_models_a_constructive_Hankel_norm_approximation_method/13462223","pdf_url":null,"source":{"id":"https://openalex.org/S4306402621","display_name":"INDIGO (University of Illinois at Chicago)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39422238","host_organization_name":"University of Illinois Chicago","host_organization_lineage":["https://openalex.org/I39422238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference contribution"}],"best_oa_location":{"id":"pmh:oai:figshare.com:article/13462223","is_oa":true,"landing_page_url":"https://figshare.com/articles/conference_contribution/From_IIR_to_FIR_digital_MIMO_models_a_constructive_Hankel_norm_approximation_method/13462223","pdf_url":null,"source":{"id":"https://openalex.org/S4306402621","display_name":"INDIGO (University of Illinois at Chicago)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39422238","host_organization_name":"University of Illinois Chicago","host_organization_lineage":["https://openalex.org/I39422238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference contribution"},"sustainable_development_goals":[{"display_name":"Partnerships for the goals","id":"https://metadata.un.org/sdg/17","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W303749222","https://openalex.org/W560247932","https://openalex.org/W1535749512","https://openalex.org/W1766888123","https://openalex.org/W1965324089","https://openalex.org/W1972470461","https://openalex.org/W1984714339","https://openalex.org/W2004778207","https://openalex.org/W2011652254","https://openalex.org/W2054560172","https://openalex.org/W2106688925","https://openalex.org/W2134401955","https://openalex.org/W2156609101","https://openalex.org/W2913465992"],"related_works":["https://openalex.org/W2140978255","https://openalex.org/W2101905130","https://openalex.org/W2978534189","https://openalex.org/W3148739427","https://openalex.org/W2103866537","https://openalex.org/W2026855132","https://openalex.org/W1520472894","https://openalex.org/W2116925467","https://openalex.org/W2112903566","https://openalex.org/W2036522589"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,14],"constructive":[4,53],"method":[5,23],"to":[6],"(sub)optimal":[7],"finite":[8],"impulse":[9,17],"response":[10,18],"(FIR)":[11],"approximation":[12,29,84],"of":[13,28,36,83,108],"given":[15],"infinite":[16],"(IIR)":[19],"MIMO":[20],"model.":[21],"The":[22,66,88,104],"minimizes":[24],"the":[25,33,42,45,57,60,72,109],"Hankel":[26],"norm":[27],"error":[30,85],"by":[31,95],"using":[32],"explicit":[34],"solution":[35,54],"norm-preserve":[37],"dilation":[38],"problem.":[39],"It":[40],"has":[41],"advantage":[43],"over":[44],"existing":[46],"methods":[47],"that":[48],"it":[49],"provides":[50],"an":[51],"explicitly":[52],"and":[55,62,68,77,102,106],"allows":[56],"trade-off":[58],"between":[59],"Chebyshev":[61],"least":[63],"square":[64],"criteria.":[65],"lower":[67],"upper":[69],"bounds":[70],"on":[71],"H":[73,78],"<inf":[74,79],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[75,80],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</inf>":[76],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u221e</inf>":[81],"norms":[82],"are":[86,112],"given.":[87],"algorithm":[89,111],"for":[90],"approximating":[91],"non-causal":[92],"IIR":[93],"filters":[94,98],"causal":[96],"FIR":[97],"is":[99],"also":[100],"formulated":[101],"solved.":[103],"effectiveness":[105],"properties":[107],"proposed":[110],"demonstrated":[113],"through":[114],"two":[115],"examples.":[116]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
