{"id":"https://openalex.org/W2982699408","doi":"https://doi.org/10.1109/wcnc.2019.8885635","title":"On Optimization of Mixed-Radix FFT: A Signal Processing Approach","display_name":"On Optimization of Mixed-Radix FFT: A Signal Processing Approach","publication_year":2019,"publication_date":"2019-04-01","ids":{"openalex":"https://openalex.org/W2982699408","doi":"https://doi.org/10.1109/wcnc.2019.8885635","mag":"2982699408"},"language":"en","primary_location":{"id":"doi:10.1109/wcnc.2019.8885635","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wcnc.2019.8885635","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE Wireless Communications and Networking Conference (WCNC)","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/A5088002636","display_name":"Ahmed Elshafiy","orcid":null},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ahmed Elshafiy","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA, USA","University of California, Santa Barbara, Santa Barbara, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"University of California, Santa Barbara, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055930743","display_name":"Mohammed A. El-Motaz","orcid":null},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mohammed A. El-Motaz","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA, USA","University of California, Santa Barbara, Santa Barbara, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"University of California, Santa Barbara, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112060091","display_name":"Mohamed E. Farag","orcid":null},"institutions":[{"id":"https://openalex.org/I145487455","display_name":"Cairo University","ror":"https://ror.org/03q21mh05","country_code":"EG","type":"education","lineage":["https://openalex.org/I145487455"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Mohamed E. Farag","raw_affiliation_strings":["Cairo University, Cairo, Egypt","Department of Engineering Math and Physics, Cairo University, Giza, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cairo University, Cairo, Egypt","institution_ids":["https://openalex.org/I145487455"]},{"raw_affiliation_string":"Department of Engineering Math and Physics, Cairo University, Giza, Egypt","institution_ids":["https://openalex.org/I145487455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076460280","display_name":"Omar A. Nasr","orcid":"https://orcid.org/0000-0002-7188-0768"},"institutions":[{"id":"https://openalex.org/I145487455","display_name":"Cairo University","ror":"https://ror.org/03q21mh05","country_code":"EG","type":"education","lineage":["https://openalex.org/I145487455"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Omar A. Nasr","raw_affiliation_strings":["Cairo University, Cairo, Egypt","Department of Electronics and Electrical Communication Engineering, Cairo University, Giza, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cairo University, Cairo, Egypt","institution_ids":["https://openalex.org/I145487455"]},{"raw_affiliation_string":"Department of Electronics and Electrical Communication Engineering, Cairo University, Giza, Egypt","institution_ids":["https://openalex.org/I145487455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073738111","display_name":"Hossam A. H. Fahmy","orcid":null},"institutions":[{"id":"https://openalex.org/I145487455","display_name":"Cairo University","ror":"https://ror.org/03q21mh05","country_code":"EG","type":"education","lineage":["https://openalex.org/I145487455"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Hossam A. H. Fahmy","raw_affiliation_strings":["Cairo University, Cairo, Egypt","Department of Electronics and Electrical Communication Engineering, Cairo University, Giza, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cairo University, Cairo, Egypt","institution_ids":["https://openalex.org/I145487455"]},{"raw_affiliation_string":"Department of Electronics and Electrical Communication Engineering, Cairo University, Giza, Egypt","institution_ids":["https://openalex.org/I145487455"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1912,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.3851446,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9991999864578247,"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":0.9991999864578247,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9973999857902527,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9868000149726868,"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/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.8940706253051758},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.664754331111908},{"id":"https://openalex.org/keywords/split-radix-fft-algorithm","display_name":"Split-radix FFT algorithm","score":0.6041079163551331},{"id":"https://openalex.org/keywords/cordic","display_name":"CORDIC","score":0.591360330581665},{"id":"https://openalex.org/keywords/orthogonal-frequency-division-multiplexing","display_name":"Orthogonal frequency-division multiplexing","score":0.5908278226852417},{"id":"https://openalex.org/keywords/quantization","display_name":"Quantization (signal processing)","score":0.5615982413291931},{"id":"https://openalex.org/keywords/prime-factor-fft-algorithm","display_name":"Prime-factor FFT algorithm","score":0.49121230840682983},{"id":"https://openalex.org/keywords/twiddle-factor","display_name":"Twiddle factor","score":0.4911160171031952},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.47453057765960693},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.463933527469635},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.3538970947265625},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3480381369590759},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3276073932647705},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.2657862901687622},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24195769429206848},{"id":"https://openalex.org/keywords/field-programmable-gate-array","display_name":"Field-programmable gate array","score":0.17064493894577026},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.1267746090888977},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.12256291508674622},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11690652370452881},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.08827763795852661}],"concepts":[{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.8940706253051758},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.664754331111908},{"id":"https://openalex.org/C103755468","wikidata":"https://www.wikidata.org/wiki/Q17103599","display_name":"Split-radix FFT algorithm","level":5,"score":0.6041079163551331},{"id":"https://openalex.org/C58870171","wikidata":"https://www.wikidata.org/wiki/Q116076","display_name":"CORDIC","level":3,"score":0.591360330581665},{"id":"https://openalex.org/C40409654","wikidata":"https://www.wikidata.org/wiki/Q375889","display_name":"Orthogonal frequency-division multiplexing","level":3,"score":0.5908278226852417},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.5615982413291931},{"id":"https://openalex.org/C77928272","wikidata":"https://www.wikidata.org/wiki/Q7243214","display_name":"Prime-factor FFT algorithm","level":5,"score":0.49121230840682983},{"id":"https://openalex.org/C4697666","wikidata":"https://www.wikidata.org/wiki/Q7857913","display_name":"Twiddle factor","level":5,"score":0.4911160171031952},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.47453057765960693},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.463933527469635},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.3538970947265625},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3480381369590759},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3276073932647705},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.2657862901687622},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24195769429206848},{"id":"https://openalex.org/C42935608","wikidata":"https://www.wikidata.org/wiki/Q190411","display_name":"Field-programmable gate array","level":2,"score":0.17064493894577026},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.1267746090888977},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.12256291508674622},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11690652370452881},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.08827763795852661},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.0},{"id":"https://openalex.org/C166386157","wikidata":"https://www.wikidata.org/wiki/Q1477735","display_name":"Short-time Fourier transform","level":4,"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/wcnc.2019.8885635","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wcnc.2019.8885635","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE Wireless Communications and Networking Conference (WCNC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.5600000023841858}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1900969659","https://openalex.org/W1923763959","https://openalex.org/W2015346536","https://openalex.org/W2024668293","https://openalex.org/W2025070826","https://openalex.org/W2057789075","https://openalex.org/W2099788829","https://openalex.org/W2108902229","https://openalex.org/W2115452265","https://openalex.org/W2115826266","https://openalex.org/W2142885599","https://openalex.org/W2154699063","https://openalex.org/W2157406439","https://openalex.org/W2534948908","https://openalex.org/W6640355072","https://openalex.org/W6728192890","https://openalex.org/W6996756274"],"related_works":["https://openalex.org/W2031343199","https://openalex.org/W1984254719","https://openalex.org/W4229456379","https://openalex.org/W2149121524","https://openalex.org/W2151986570","https://openalex.org/W2547585993","https://openalex.org/W2351401773","https://openalex.org/W2061302196","https://openalex.org/W2977460836","https://openalex.org/W2371538653"],"abstract_inverted_index":{"In":[0],"order":[1,42,107],"to":[2,43,102,130,178,184],"achieve":[3],"higher":[4,21,106],"transmission":[5],"rates":[6],"and":[7,53,77,109],"system":[8],"capacities,":[9],"fifth":[10],"generation":[11],"(5G)":[12],"systems":[13,19,31],"as":[14,16,93],"well":[15],"802.11":[17],"ad/ay":[18],"consider":[20],"frequency":[22],"bands":[23],"(24GHz-70GHz),":[24],"the":[25,45,65,69,88,115,132,139,154,158,185,206],"so-called":[26],"millimeter":[27],"wave":[28],"frequencies.":[29],"These":[30],"rely":[32],"heavily":[33],"on":[34],"Orthogonal":[35],"Frequency":[36],"Division":[37],"Multiplexing":[38],"(OFDM)":[39],"approach":[40],"in":[41,63,100,153,161],"realize":[44],"transmitted":[46],"signal.":[47,67],"The":[48,125,173],"Fast":[49],"Fourier":[50],"Transform":[51],"(FFT)":[52],"inverse":[54],"FFT":[55,80,99,140,160,187,190],"(IFFT)":[56],"blocks":[57],"are":[58,195],"vital":[59],"signal":[60],"processing":[61],"components":[62],"synthesizing":[64],"OFDM":[66],"Towards":[68],"objective":[70],"of":[71,87,120,150,163],"designing":[72],"a":[73,103,121,168],"low-complexity,":[74],"small":[75],"area,":[76],"low-power":[78],"consumption":[79],"blocks,":[81],"this":[82,144],"paper":[83,145],"proposes":[84],"an":[85],"extension":[86],"algorithmic":[89],"level":[90],"approach,":[91],"known":[92],"COordinate":[94],"Rotation":[95],"DIgital":[96],"Computer":[97],"(CORDIC)-Friendly":[98],"[1],":[101],"more":[104],"practical":[105],"FFTs":[108],"mixed-radix":[110,123],"FFTs.":[111],"Moreover,":[112],"it":[113],"introduces":[114],"first":[116],"quantization":[117],"error":[118,126],"analysis":[119,127],"generalized":[122],"FFT.":[124],"is":[128,204,210],"used":[129],"find":[131],"optimal":[133],"modified":[134],"twiddle":[135],"factors":[136],"that":[137,147],"reduce":[138],"hardware":[141,215],"complexity.":[142],"Additionally,":[143],"shows":[146],"any":[148],"type":[149],"CORDIC":[151,193],"considered":[152],"proposed":[155,174],"framework":[156,175],"outperforms":[157],"conventional":[159,186],"terms":[162],"Signal-to-Quantization-Noise":[164],"Ratio":[165],"(SQNR),":[166],"for":[167,188],"given":[169],"silicon":[170],"area":[171],"budget.":[172],"offers":[176],"up":[177],"50":[179],"dB":[180],"SQNR":[181,208],"gain":[182,209],"compared":[183],"different":[189],"sizes":[191],"when":[192],"rotators":[194],"employed.":[196],"If":[197],"Single-path":[198],"Delay":[199],"Feedback":[200],"(SDF)":[201],"pipeline":[202],"architecture":[203],"used,":[205],"achieved":[207],"obtained":[211],"at":[212],"no":[213],"additional":[214],"cost.":[216]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}