{"id":"https://openalex.org/W2584805892","doi":"https://doi.org/10.1109/icassp.1985.1168328","title":"Complex digital signal processing using quadratic residue number systems","display_name":"Complex digital signal processing using quadratic residue number systems","publication_year":2005,"publication_date":"2005-03-23","ids":{"openalex":"https://openalex.org/W2584805892","doi":"https://doi.org/10.1109/icassp.1985.1168328","mag":"2584805892"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.1985.1168328","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1985.1168328","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '85. IEEE International Conference on Acoustics, Speech, and Signal Processing","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/A5101824513","display_name":"R. Krishnan","orcid":"https://orcid.org/0000-0003-0230-5185"},"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":true,"raw_author_name":"R. Krishnan","raw_affiliation_strings":["University of Windsor, Windsor, Ontario, Canada"],"affiliations":[{"raw_affiliation_string":"University of Windsor, Windsor, Ontario, Canada","institution_ids":["https://openalex.org/I74413500"]}]},{"author_position":"middle","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 Electrical Engineering, University of Windsor, Windsor, ONT, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Windsor, Windsor, ONT, Canada","institution_ids":["https://openalex.org/I74413500"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056245742","display_name":"William C. Miller","orcid":"https://orcid.org/0000-0002-1934-7827"},"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":"W. Miller","raw_affiliation_strings":["Department of Electrical Engineering, University of Windsor, Windsor, ONT, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Windsor, Windsor, ONT, Canada","institution_ids":["https://openalex.org/I74413500"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101824513"],"corresponding_institution_ids":["https://openalex.org/I74413500"],"apc_list":null,"apc_paid":null,"fwci":1.6105,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.90247983,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"10","issue":null,"first_page":"764","last_page":"767"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9998000264167786,"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":0.9998000264167786,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.9973999857902527,"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/residue-number-system","display_name":"Residue number system","score":0.9016614556312561},{"id":"https://openalex.org/keywords/quadratic-residue","display_name":"Quadratic residue","score":0.8584481477737427},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5933980345726013},{"id":"https://openalex.org/keywords/residue","display_name":"Residue (chemistry)","score":0.5827097296714783},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.5808754563331604},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5614277720451355},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.5234339237213135},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4840613901615143},{"id":"https://openalex.org/keywords/moduli","display_name":"Moduli","score":0.4683135449886322},{"id":"https://openalex.org/keywords/digital-filter","display_name":"Digital filter","score":0.46051517128944397},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.4532051384449005},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.452671080827713},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40283825993537903},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37227919697761536},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.24041512608528137},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.09844186902046204},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08258363604545593}],"concepts":[{"id":"https://openalex.org/C71480937","wikidata":"https://www.wikidata.org/wiki/Q3086516","display_name":"Residue number system","level":2,"score":0.9016614556312561},{"id":"https://openalex.org/C12817185","wikidata":"https://www.wikidata.org/wiki/Q878259","display_name":"Quadratic residue","level":2,"score":0.8584481477737427},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5933980345726013},{"id":"https://openalex.org/C2781338088","wikidata":"https://www.wikidata.org/wiki/Q903495","display_name":"Residue (chemistry)","level":2,"score":0.5827097296714783},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.5808754563331604},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5614277720451355},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5234339237213135},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4840613901615143},{"id":"https://openalex.org/C121089165","wikidata":"https://www.wikidata.org/wiki/Q6889796","display_name":"Moduli","level":2,"score":0.4683135449886322},{"id":"https://openalex.org/C36390408","wikidata":"https://www.wikidata.org/wiki/Q1163067","display_name":"Digital filter","level":3,"score":0.46051517128944397},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.4532051384449005},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.452671080827713},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40283825993537903},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37227919697761536},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.24041512608528137},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.09844186902046204},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08258363604545593},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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.1985.1168328","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1985.1168328","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '85. IEEE International Conference on Acoustics, Speech, and Signal Processing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W2093794779","https://openalex.org/W2110523631","https://openalex.org/W2123008137","https://openalex.org/W2130409149","https://openalex.org/W2133780542","https://openalex.org/W2141664762","https://openalex.org/W3146025813","https://openalex.org/W3148692216","https://openalex.org/W6792977737","https://openalex.org/W6793274653"],"related_works":["https://openalex.org/W2542168764","https://openalex.org/W2076304632","https://openalex.org/W1852876249","https://openalex.org/W2169683161","https://openalex.org/W2146856939","https://openalex.org/W2580343161","https://openalex.org/W2999808702","https://openalex.org/W1979702396","https://openalex.org/W1594366279","https://openalex.org/W2159726933"],"abstract_inverted_index":{"Recently,":[0],"the":[1,13,24,27,45,52,62,74,92],"Quadratic":[2,54],"Residue":[3,55],"Number":[4,56],"System":[5,57],"(QRNS)":[6],"has":[7,49],"been":[8,50],"introduced":[9],"[4,5,6],":[10],"which":[11],"allows":[12],"multiplication":[14],"of":[15,26,82],"complex":[16],"integers":[17],"with":[18],"two":[19,39],"real":[20,36],"multiplications.":[21],"Restrictions":[22],"on":[23],"form":[25],"moduli":[28],"can":[29,42],"be":[30,43],"removed":[31],"if":[32],"an":[33],"increase":[34],"in":[35,72],"multiplications":[37],"from":[38],"to":[40,68],"three":[41],"tolerated;":[44],"resulting":[46],"number":[47],"system":[48],"termed":[51],"Modified":[53],"(MQRNS).":[58],"In":[59],"this":[60],"paper":[61],"MQRNS":[63,77,95],"is":[64],"defined,":[65],"and":[66,76,84,94],"residue":[67],"binary":[69],"conversion":[70],"techniques":[71],"both":[73],"QRNS":[75,93],"are":[78,88,97],"presented.":[79],"Hardware":[80],"implementations":[81],"non-recursive":[83],"recursive":[85],"digital":[86],"filters":[87],"also":[89],"presented":[90],"where":[91],"structures":[96],"realized":[98],"using":[99],"a":[100],"bit-slice":[101],"architectures.":[102]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}