{"id":"https://openalex.org/W2114095799","doi":"https://doi.org/10.1109/iscas.2002.1009867","title":"A new group distributed arithmetic design for the one dimensional discrete Fourier transform","display_name":"A new group distributed arithmetic design for the one dimensional discrete Fourier transform","publication_year":2003,"publication_date":"2003-06-25","ids":{"openalex":"https://openalex.org/W2114095799","doi":"https://doi.org/10.1109/iscas.2002.1009867","mag":"2114095799"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2002.1009867","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2002.1009867","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353)","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/A5027362352","display_name":"Hun-Chen Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Hun-Chen Chen","raw_affiliation_strings":["Department of Electronics Engineering and Institute of Electronics, National Chiao Tung University, Hsinchu, Taiwan","Dept. of Electron. Eng., Nat. Chiao Tung Univ., Hsin Chu, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Electronics Engineering and Institute of Electronics, National Chiao Tung University, Hsinchu, Taiwan","institution_ids":["https://openalex.org/I148366613"]},{"raw_affiliation_string":"Dept. of Electron. Eng., Nat. Chiao Tung Univ., Hsin Chu, Taiwan","institution_ids":["https://openalex.org/I148366613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022312926","display_name":"Jiun-In Guo","orcid":"https://orcid.org/0000-0003-0402-2621"},"institutions":[{"id":"https://openalex.org/I148099254","display_name":"National Chung Cheng University","ror":"https://ror.org/0028v3876","country_code":"TW","type":"education","lineage":["https://openalex.org/I148099254"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Jiun-In Guo","raw_affiliation_strings":["Department of Computer Science and Information Engineering, National Chung Cheng University, Chiayi, Taiwan","Institute of Electronics"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Information Engineering, National Chung Cheng University, Chiayi, Taiwan","institution_ids":["https://openalex.org/I148099254"]},{"raw_affiliation_string":"Institute of Electronics","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027291087","display_name":"Chien-Wei Jen","orcid":null},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Chien-Wei Jen","raw_affiliation_strings":["Department of Electronics Engineering and Institute of Electronics, National Chiao Tung University, Hsinchu, Taiwan","National Yang Ming Chiao Tung University"],"affiliations":[{"raw_affiliation_string":"Department of Electronics Engineering and Institute of Electronics, National Chiao Tung University, Hsinchu, Taiwan","institution_ids":["https://openalex.org/I148366613"]},{"raw_affiliation_string":"National Yang Ming Chiao Tung University","institution_ids":["https://openalex.org/I148366613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5027362352"],"corresponding_institution_ids":["https://openalex.org/I148366613"],"apc_list":null,"apc_paid":null,"fwci":2.0499,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.88067582,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"1","issue":null,"first_page":"I","last_page":"421"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10901","display_name":"Advanced Data Compression Techniques","score":0.9955999851226807,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9911999702453613,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.647788405418396},{"id":"https://openalex.org/keywords/discrete-fourier-transform","display_name":"Discrete Fourier transform (general)","score":0.626607358455658},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.6090800762176514},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.5680100917816162},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.539191484451294},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5061234831809998},{"id":"https://openalex.org/keywords/circular-convolution","display_name":"Circular convolution","score":0.5037633776664734},{"id":"https://openalex.org/keywords/discrete-hartley-transform","display_name":"Discrete Hartley transform","score":0.4623969495296478},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4612208306789398},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.44048523902893066},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.417513370513916},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.3506399989128113},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2482157051563263},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19804269075393677},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.19749268889427185},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.11034196615219116}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.647788405418396},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.626607358455658},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.6090800762176514},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5680100917816162},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.539191484451294},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5061234831809998},{"id":"https://openalex.org/C194980680","wikidata":"https://www.wikidata.org/wiki/Q245450","display_name":"Circular convolution","level":5,"score":0.5037633776664734},{"id":"https://openalex.org/C192853989","wikidata":"https://www.wikidata.org/wiki/Q1006531","display_name":"Discrete Hartley transform","level":5,"score":0.4623969495296478},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4612208306789398},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.44048523902893066},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.417513370513916},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.3506399989128113},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2482157051563263},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19804269075393677},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.19749268889427185},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.11034196615219116},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iscas.2002.1009867","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2002.1009867","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353)","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":17,"referenced_works":["https://openalex.org/W1971730389","https://openalex.org/W1988398861","https://openalex.org/W2017369466","https://openalex.org/W2095603848","https://openalex.org/W2100413522","https://openalex.org/W2105605001","https://openalex.org/W2112019074","https://openalex.org/W2130511199","https://openalex.org/W2131864516","https://openalex.org/W2144072976","https://openalex.org/W2151016850","https://openalex.org/W2154807244","https://openalex.org/W3017146258","https://openalex.org/W3188489966","https://openalex.org/W6681468737","https://openalex.org/W6682265424","https://openalex.org/W6776013077"],"related_works":["https://openalex.org/W2170755202","https://openalex.org/W2154006536","https://openalex.org/W2053055950","https://openalex.org/W2057624792","https://openalex.org/W2135604443","https://openalex.org/W2085939569","https://openalex.org/W2162611351","https://openalex.org/W3125765581","https://openalex.org/W2577240889","https://openalex.org/W2004797867"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,48,74],"new":[4],"group":[5,75],"distributed":[6,20],"arithmetic":[7,21],"(GDA)":[8],"design":[9,96,111],"for":[10],"the":[11,26,30,56,61,71,83,94,103,106,110,113,120,124],"one-dimensional":[12,39],"discrete":[13],"Fourier":[14],"transform":[15],"(1-D":[16],"DFT).":[17],"We":[18],"adopt":[19],"(DA)":[22],"computation":[23],"and":[24,51,88,123],"exploit":[25],"good":[27],"features":[28],"of":[29,38,63],"cyclic":[31],"convolution":[32],"to":[33],"facilitate":[34],"an":[35],"efficient":[36],"realization":[37],"N-point":[40],"DFT":[41,84],"using":[42],"ROM":[43,57,64],"module":[44],"with":[45,105,112],"small":[46],"size,":[47],"barrier":[49],"shifter,":[50],"N":[52],"accumulators.":[53],"To":[54,101],"increase":[55],"utilization,":[58],"we":[59],"re-arrange":[60],"content":[62],"into":[65],"several":[66],"groups":[67],"in":[68,73,80,86,98],"which":[69],"all":[70,82],"elements":[72],"will":[76],"be":[77],"accessed":[78],"simultaneously":[79],"accumulating":[81],"outputs":[85],"word-parallel":[87],"bit-serial":[89],"manner.":[90],"It":[91],"is":[92],"called":[93],"GDA":[95],"approach":[97,115],"this":[99],"paper.":[100],"compare":[102],"results":[104],"traditional":[107],"DA":[108],"design,":[109],"proposed":[114],"can":[116],"reduce":[117],"significantly":[118],"both":[119],"hardware":[121],"cost":[122],"propagation":[125],"delay.":[126]},"counts_by_year":[{"year":2015,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
