{"id":"https://openalex.org/W1481980077","doi":"https://doi.org/10.1109/icassp.1982.1171387","title":"Quantization error and limit cycles analysis in residue number system coded recursive filters","display_name":"Quantization error and limit cycles analysis in residue number system coded recursive filters","publication_year":2005,"publication_date":"2005-03-24","ids":{"openalex":"https://openalex.org/W1481980077","doi":"https://doi.org/10.1109/icassp.1982.1171387","mag":"1481980077"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.1982.1171387","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1982.1171387","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '82. IEEE International Conference on Acoustics, Speech, and Signal Processing","raw_type":"proceedings-article"},"type":"conference-paper","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/A5009374837","display_name":"Anna Z. Baraniecki","orcid":null},"institutions":[{"id":"https://openalex.org/I193531525","display_name":"George Washington University","ror":"https://ror.org/00y4zzh67","country_code":"US","type":"education","lineage":["https://openalex.org/I193531525"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Baraniecki","raw_affiliation_strings":["Department of Elec. Engr, George Washington University, Washington D.C., DC, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Elec. Engr, George Washington University, Washington D.C., DC, USA","institution_ids":["https://openalex.org/I193531525"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007393900","display_name":"G.A. Jullien","orcid":"https://orcid.org/0009-0009-0911-2926"},"institutions":[{"id":"https://openalex.org/I74413500","display_name":"University of Windsor","ror":"https://ror.org/01gw3d370","country_code":"CA","type":"education","lineage":["https://openalex.org/I74413500"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"G. Jullien","raw_affiliation_strings":["Department of Elec. Engr, University of Windsor, ONT, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Elec. Engr, University of Windsor, ONT, Canada","institution_ids":["https://openalex.org/I74413500"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.03881488,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"7","issue":null,"first_page":"52","last_page":"55"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9991000294685364,"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"}},"topics":[{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9991000294685364,"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/T11130","display_name":"Coding theory and cryptography","score":0.9990000128746033,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9945999979972839,"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":0.7559319734573364},{"id":"https://openalex.org/keywords/residue-number-system","display_name":"Residue number system","score":0.7404168844223022},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.6672929525375366},{"id":"https://openalex.org/keywords/dynamic-range","display_name":"Dynamic range","score":0.5766392946243286},{"id":"https://openalex.org/keywords/residue","display_name":"Residue (chemistry)","score":0.5274118185043335},{"id":"https://openalex.org/keywords/digital-filter","display_name":"Digital filter","score":0.48950517177581787},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46362948417663574},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4606466591358185},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45929473638534546},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.34707361459732056},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3392728567123413},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.18459606170654297},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08219590783119202}],"concepts":[{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.7559319734573364},{"id":"https://openalex.org/C71480937","wikidata":"https://www.wikidata.org/wiki/Q3086516","display_name":"Residue number system","level":2,"score":0.7404168844223022},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.6672929525375366},{"id":"https://openalex.org/C87133666","wikidata":"https://www.wikidata.org/wiki/Q1161699","display_name":"Dynamic range","level":2,"score":0.5766392946243286},{"id":"https://openalex.org/C2781338088","wikidata":"https://www.wikidata.org/wiki/Q903495","display_name":"Residue (chemistry)","level":2,"score":0.5274118185043335},{"id":"https://openalex.org/C36390408","wikidata":"https://www.wikidata.org/wiki/Q1163067","display_name":"Digital filter","level":3,"score":0.48950517177581787},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46362948417663574},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4606466591358185},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45929473638534546},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.34707361459732056},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3392728567123413},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.18459606170654297},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08219590783119202},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.1982.1171387","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1982.1171387","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '82. IEEE International Conference on Acoustics, Speech, and Signal Processing","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":3,"referenced_works":["https://openalex.org/W2062972006","https://openalex.org/W2093794779","https://openalex.org/W2148554131"],"related_works":["https://openalex.org/W2157999631","https://openalex.org/W2047040768","https://openalex.org/W4282822687","https://openalex.org/W2078968850","https://openalex.org/W1929739138","https://openalex.org/W86844572","https://openalex.org/W2104752696","https://openalex.org/W2042932854","https://openalex.org/W1966213136","https://openalex.org/W2071880261"],"abstract_inverted_index":{"The":[0,16,59,102],"paper":[1],"discusses":[2],"the":[3,19,52,55,65,77,85,90,123,140],"Residue":[4],"Number":[5],"System":[6],"(RNS)":[7],"implementation":[8],"of":[9,21,34,61,67,76,106,130],"second":[10,68],"order":[11,69],"recursive":[12,114],"digital":[13],"filter":[14],"sections.":[15],"RNS":[17],"offers":[18],"advantage":[20],"using":[22],"integer":[23],"based":[24],"arithmetic":[25],"operations":[26],"and":[27,134,139],"a":[28],"simple":[29],"hardware":[30],"realization":[31],"involving":[32],"arrays":[33],"look":[35],"up":[36],"tables":[37],"stored":[38],"in":[39,84,111],"high":[40,99],"density":[41],"ROMs,":[42],"In":[43],"residue":[44,62,91,112],"number":[45],"system":[46],"scaling":[47,63,83],"is":[48,116],"necessary":[49],"to":[50],"keep":[51],"data":[53],"within":[54],"limited":[56],"dynamic":[57],"range.":[58],"effects":[60],"on":[64,122,142],"performance":[66,97],"sections":[70,115],"are":[71,137,145],"described":[72],"here.":[73],"An":[74],"analysis":[75],"quantization":[78,95],"error":[79,96],"accumulation":[80],"associated":[81],"with":[82,98],"proposed":[86],"realizations":[87],"shows":[88],"that":[89],"architecture":[92],"combines":[93],"good":[94],"speed":[100],"implementation.":[101],"conditions":[103],"for":[104,118],"existance":[105],"zero":[107],"input":[108],"limit":[109,128],"cycles":[110,129],"coded":[113],"derived":[117],"certain":[119],"cases.":[120],"Regions":[121],"coefficient":[124],"space":[125],"which":[126],"allow":[127],"period":[131,135],"1":[132],"(dc)":[133],"2":[136],"determined":[138],"bounds":[141],"their":[143],"magnitude":[144],"derived.":[146]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
