{"id":"https://openalex.org/W2097784392","doi":"https://doi.org/10.1109/tac.2009.2033859","title":"Optimal Quantization of Signals for System Identification","display_name":"Optimal Quantization of Signals for System Identification","publication_year":2009,"publication_date":"2009-11-20","ids":{"openalex":"https://openalex.org/W2097784392","doi":"https://doi.org/10.1109/tac.2009.2033859","mag":"2097784392"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2009.2033859","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2009.2033859","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-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/A5029092749","display_name":"Koji Tsumura","orcid":null},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]},{"id":"https://openalex.org/I14396692","display_name":"Tokyo University of Information Sciences","ror":"https://ror.org/044bdx604","country_code":"JP","type":"education","lineage":["https://openalex.org/I14396692"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"K. Tsumura","raw_affiliation_strings":["Department of Information Physics and Computing, University of Tokyo, Tokyo, Japan","Dept. of Inf., Phys. & Comput., Univ. of Tokyo, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Information Physics and Computing, University of Tokyo, Tokyo, Japan","institution_ids":["https://openalex.org/I14396692","https://openalex.org/I74801974"]},{"raw_affiliation_string":"Dept. of Inf., Phys. & Comput., Univ. of Tokyo, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5029092749"],"corresponding_institution_ids":["https://openalex.org/I14396692","https://openalex.org/I74801974"],"apc_list":null,"apc_paid":null,"fwci":6.1233,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.95943686,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"54","issue":"12","first_page":"2909","last_page":"2915"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9998000264167786,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9983999729156494,"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/T10320","display_name":"Neural Networks and Applications","score":0.9970999956130981,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quantization","display_name":"Quantization (signal processing)","score":0.8763458728790283},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.585446298122406},{"id":"https://openalex.org/keywords/system-identification","display_name":"System identification","score":0.49990367889404297},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.49357354640960693},{"id":"https://openalex.org/keywords/vector-quantization","display_name":"Vector quantization","score":0.46339255571365356},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.4578922688961029},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4304351508617401},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3750828206539154},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3705434203147888},{"id":"https://openalex.org/keywords/data-modeling","display_name":"Data modeling","score":0.2061406672000885},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11446389555931091}],"concepts":[{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.8763458728790283},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.585446298122406},{"id":"https://openalex.org/C119247159","wikidata":"https://www.wikidata.org/wiki/Q1366192","display_name":"System identification","level":3,"score":0.49990367889404297},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.49357354640960693},{"id":"https://openalex.org/C199833920","wikidata":"https://www.wikidata.org/wiki/Q612536","display_name":"Vector quantization","level":2,"score":0.46339255571365356},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.4578922688961029},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4304351508617401},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3750828206539154},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3705434203147888},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.2061406672000885},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11446389555931091},{"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/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2009.2033859","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2009.2033859","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W45058768","https://openalex.org/W124815405","https://openalex.org/W1503112716","https://openalex.org/W1512478660","https://openalex.org/W1544682504","https://openalex.org/W1549983827","https://openalex.org/W1576475658","https://openalex.org/W1916437051","https://openalex.org/W1969737503","https://openalex.org/W1976625337","https://openalex.org/W1978848993","https://openalex.org/W1993110647","https://openalex.org/W1995875735","https://openalex.org/W2001968606","https://openalex.org/W2019116530","https://openalex.org/W2069380100","https://openalex.org/W2097784392","https://openalex.org/W2122161467","https://openalex.org/W2139384666","https://openalex.org/W2139494286","https://openalex.org/W2150593711","https://openalex.org/W2155024125","https://openalex.org/W2156310455","https://openalex.org/W2157076370","https://openalex.org/W2157945087","https://openalex.org/W2161657516","https://openalex.org/W2477424298","https://openalex.org/W2564065126","https://openalex.org/W2996704793","https://openalex.org/W3147705998","https://openalex.org/W4254197176","https://openalex.org/W4285719527","https://openalex.org/W4388297583","https://openalex.org/W6640125277"],"related_works":["https://openalex.org/W1539956819","https://openalex.org/W2093152993","https://openalex.org/W1489554298","https://openalex.org/W2378212145","https://openalex.org/W3209251257","https://openalex.org/W1909999440","https://openalex.org/W1576040274","https://openalex.org/W2094241856","https://openalex.org/W2101377286","https://openalex.org/W50782446"],"abstract_inverted_index":{"In":[0],"this":[1],"technical":[2],"note,":[3],"we":[4],"examine":[5],"the":[6,20,25,33,45,50,54,57,71,78,88,91,95,102],"optimal":[7,26,58,68],"quantization":[8,18,27,109],"of":[9,35,47,49,56,80,98],"signals":[10,22,52],"for":[11,19,61],"system":[12],"identification.":[13],"We":[14],"deal":[15],"with":[16],"memoryless":[17],"output":[21,82],"and":[23,83,110],"derive":[24],"schemes.":[28],"The":[29,67],"objective":[30],"functions":[31],"are":[32],"errors":[34],"least":[36],"squares":[37],"parameter":[38,104],"estimation":[39,105],"subject":[40],"to":[41,100],"a":[42],"constraint":[43],"on":[44],"number":[46],"subsections":[48],"quantized":[51],"or":[53,64],"expectation":[55],"code":[59],"length":[60],"either":[62],"high":[63],"low":[65],"resolution.":[66],"quantizer":[69],"has":[70],"property":[72],"that":[73],"it":[74],"is":[75,112],"coarse":[76],"near":[77],"origin":[79,89],"its":[81],"becomes":[84],"dense":[85],"away":[86],"from":[87],"in":[90],"usual":[92],"situation.":[93],"Finally":[94],"required":[96],"quantity":[97],"data":[99],"decrease":[101],"total":[103],"error,":[106],"caused":[107],"by":[108],"noise,":[111],"discussed.":[113]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}