{"id":"https://openalex.org/W2982357571","doi":"https://doi.org/10.1109/ewdts.2019.8884400","title":"Non-Canonical Topography of the z-Plane Discretized due to Quantization of the IIR Digital Filter Coefficients","display_name":"Non-Canonical Topography of the z-Plane Discretized due to Quantization of the IIR Digital Filter Coefficients","publication_year":2019,"publication_date":"2019-09-01","ids":{"openalex":"https://openalex.org/W2982357571","doi":"https://doi.org/10.1109/ewdts.2019.8884400","mag":"2982357571"},"language":"en","primary_location":{"id":"doi:10.1109/ewdts.2019.8884400","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ewdts.2019.8884400","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE East-West Design & Test Symposium (EWDTS)","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/A5058948510","display_name":"Vladislav Lesnikov","orcid":"https://orcid.org/0000-0002-5034-291X"},"institutions":[{"id":"https://openalex.org/I4210103655","display_name":"Vyatka State University","ror":"https://ror.org/01anxqg21","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210103655"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Vladislav Lesnikov","raw_affiliation_strings":["Department of Radioelectronic Systems, Vyatka State University, Kirov, Russia"],"affiliations":[{"raw_affiliation_string":"Department of Radioelectronic Systems, Vyatka State University, Kirov, Russia","institution_ids":["https://openalex.org/I4210103655"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063881678","display_name":"Tatiana Naumovich","orcid":"https://orcid.org/0000-0002-3659-2664"},"institutions":[{"id":"https://openalex.org/I4210103655","display_name":"Vyatka State University","ror":"https://ror.org/01anxqg21","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210103655"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Tatiana Naumovich","raw_affiliation_strings":["Department of Radioelectronic Systems, Vyatka State University, Kirov, Russia"],"affiliations":[{"raw_affiliation_string":"Department of Radioelectronic Systems, Vyatka State University, Kirov, Russia","institution_ids":["https://openalex.org/I4210103655"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001942583","display_name":"Alexander Chastikov","orcid":"https://orcid.org/0000-0002-1998-7787"},"institutions":[{"id":"https://openalex.org/I4210103655","display_name":"Vyatka State University","ror":"https://ror.org/01anxqg21","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210103655"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Alexander Chastikov","raw_affiliation_strings":["Department of Radioelectronic Systems, Vyatka State University, Kirov, Russia"],"affiliations":[{"raw_affiliation_string":"Department of Radioelectronic Systems, Vyatka State University, Kirov, Russia","institution_ids":["https://openalex.org/I4210103655"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5058948510"],"corresponding_institution_ids":["https://openalex.org/I4210103655"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1312386,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"25","issue":null,"first_page":"1","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13935","display_name":"Mathematical Control Systems and Analysis","score":0.9891999959945679,"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"}},"topics":[{"id":"https://openalex.org/T13935","display_name":"Mathematical Control Systems and Analysis","score":0.9891999959945679,"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"}},{"id":"https://openalex.org/T13608","display_name":"Advanced Computational Techniques in Science and Engineering","score":0.9822999835014343,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9121000170707703,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6931999921798706},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6311310529708862},{"id":"https://openalex.org/keywords/quantization","display_name":"Quantization (signal processing)","score":0.6165810227394104},{"id":"https://openalex.org/keywords/complex-plane","display_name":"Complex plane","score":0.5973957180976868},{"id":"https://openalex.org/keywords/pole\u2013zero-plot","display_name":"Pole\u2013zero plot","score":0.5438622832298279},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5176811218261719},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4852285385131836},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4734192490577698},{"id":"https://openalex.org/keywords/infinite-impulse-response","display_name":"Infinite impulse response","score":0.4176446497440338},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.416896790266037},{"id":"https://openalex.org/keywords/digital-filter","display_name":"Digital filter","score":0.38842296600341797},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.33722996711730957},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.3343850076198578},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13781070709228516},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1109914779663086}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6931999921798706},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6311310529708862},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.6165810227394104},{"id":"https://openalex.org/C179117685","wikidata":"https://www.wikidata.org/wiki/Q328998","display_name":"Complex plane","level":2,"score":0.5973957180976868},{"id":"https://openalex.org/C43656286","wikidata":"https://www.wikidata.org/wiki/Q2100961","display_name":"Pole\u2013zero plot","level":3,"score":0.5438622832298279},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5176811218261719},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4852285385131836},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4734192490577698},{"id":"https://openalex.org/C183816354","wikidata":"https://www.wikidata.org/wiki/Q665617","display_name":"Infinite impulse response","level":4,"score":0.4176446497440338},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.416896790266037},{"id":"https://openalex.org/C36390408","wikidata":"https://www.wikidata.org/wiki/Q1163067","display_name":"Digital filter","level":3,"score":0.38842296600341797},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.33722996711730957},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.3343850076198578},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13781070709228516},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1109914779663086},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ewdts.2019.8884400","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ewdts.2019.8884400","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE East-West Design & Test Symposium (EWDTS)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W597606503","https://openalex.org/W1493818369","https://openalex.org/W1581487389","https://openalex.org/W2127116076","https://openalex.org/W2137092215","https://openalex.org/W2444516609","https://openalex.org/W2477555463","https://openalex.org/W2821929962","https://openalex.org/W2860146509","https://openalex.org/W2956473469","https://openalex.org/W3011387495","https://openalex.org/W4231304594","https://openalex.org/W6724907074","https://openalex.org/W6774438534"],"related_works":["https://openalex.org/W2126015526","https://openalex.org/W2140634538","https://openalex.org/W2067519269","https://openalex.org/W2139448165","https://openalex.org/W1511779429","https://openalex.org/W1495628383","https://openalex.org/W2810377961","https://openalex.org/W1527963436","https://openalex.org/W762710671","https://openalex.org/W2031431762"],"abstract_inverted_index":{"It":[0,88,182,221],"is":[1,31,40,99,122,151,174,187,200,222,250],"known":[2,134,158],"that":[3,72,92,185,224,263],"all":[4],"possible":[5,246],"positions":[6],"of":[7,12,37,49,55,83,95,105,111,114,148,168,179,215,227,245,260],"the":[8,33,38,43,50,69,84,93,96,103,109,115,129,137,141,146,156,160,163,166,177,195,206,209,213,216,225,243,253,261,266],"zeros":[9,78,247,255],"and":[10,79,108,170,212,218,248,256],"poles":[11,80,249,257],"IIR":[13],"digital":[14,76],"filters":[15],"with":[16,194],"finite":[17],"word":[18],"length":[19],"form":[20],"some":[21,237],"discrete":[22],"structure":[23,30,157,167],"in":[24],"z-plane.":[25],"In":[26,65],"this":[27,29,186,199],"paper,":[28],"called":[32,126],"z-plane":[34,39,98],"topography.":[35,268],"Discretization":[36],"explained":[41],"by":[42,102,236],"fact":[44],"that,":[45],"due":[46],"to":[47,124,176],"quantization":[48],"filter":[51],"coefficients,":[52],"not":[53,192,201,231],"any":[54],"its":[56],"points":[57],"can":[58],"be":[59,125],"a":[60,63,188,241],"zero":[61],"or":[62],"pole.":[64],"their":[66],"previous":[67],"publications,":[68],"authors":[70],"showed":[71],"for":[73,135],"practically":[74],"implemented":[75],"filters,":[77],"are":[81,133,230,234,258],"elements":[82,259],"algebraic":[85,106],"number":[86,244],"set.":[87],"was":[89],"also":[90],"shown":[91,223],"topography":[94,121,138,150,211,214],"sampled":[97],"completely":[100,189],"determined":[101],"degree":[104],"numbers":[107],"bitness":[110],"fractional":[112],"part":[113],"transfer":[116],"function":[117],"coefficients.":[118],"The":[119],"corresponding":[120],"proposed":[123],"canonical.":[127],"At":[128],"same":[130],"time,":[131],"structures":[132,154,229],"which":[136],"differs":[139],"from":[140],"canonical":[142,196,210,267],"one.":[143,197],"For":[144],"them,":[145],"name":[147],"non-canonical":[149],"suggested.":[152],"These":[153],"include":[155],"as":[159],"coupled":[161,217],"form,":[162,165],"normal":[164],"Gold":[169],"Raider.":[171],"This":[172,203],"article":[173],"devoted":[175],"study":[178],"such":[180,228],"structures.":[181,220],"may":[183],"seem":[184],"new":[190],"topography,":[191],"connected":[193],"However,":[198],"true.":[202],"paper":[204],"establishes":[205],"relationship":[207],"between":[208],"other":[219],"coefficients":[226],"independent.":[232],"They":[233],"related":[235],"additional":[238],"equations.":[239],"As":[240],"result,":[242],"reduced.":[251],"But":[252],"remaining":[254],"set":[262],"make":[264],"up":[265]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}