{"id":"https://openalex.org/W2091813133","doi":"https://doi.org/10.1142/s012962640600254x","title":"TWO PARALLEL 1-D FFT ALGORITHMS WITHOUT ALL-TO-ALL COMMUNICATION","display_name":"TWO PARALLEL 1-D FFT ALGORITHMS WITHOUT ALL-TO-ALL COMMUNICATION","publication_year":2006,"publication_date":"2006-06-01","ids":{"openalex":"https://openalex.org/W2091813133","doi":"https://doi.org/10.1142/s012962640600254x","mag":"2091813133"},"language":"en","primary_location":{"id":"doi:10.1142/s012962640600254x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s012962640600254x","pdf_url":null,"source":{"id":"https://openalex.org/S18360026","display_name":"Parallel Processing Letters","issn_l":"0129-6264","issn":["0129-6264","1793-642X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Processing Letters","raw_type":"journal-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/A5110016131","display_name":"Rami Al Na'mneh","orcid":null},"institutions":[{"id":"https://openalex.org/I82495205","display_name":"University of Alabama in Huntsville","ror":"https://ror.org/02zsxwr40","country_code":"US","type":"education","lineage":["https://openalex.org/I82495205"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"RAMI AL NA'MNEH","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Alabama in Huntsville, Huntsville, Alabama 35899, USA","Department of Electrical and Computer Engineering , University of Alabama in Huntsville , Huntsville , Alabama , 35899 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Alabama in Huntsville, Huntsville, Alabama 35899, USA","institution_ids":["https://openalex.org/I82495205"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering , University of Alabama in Huntsville , Huntsville , Alabama , 35899 , USA","institution_ids":["https://openalex.org/I82495205"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015897741","display_name":"W. David Pan","orcid":"https://orcid.org/0000-0001-7265-2188"},"institutions":[{"id":"https://openalex.org/I82495205","display_name":"University of Alabama in Huntsville","ror":"https://ror.org/02zsxwr40","country_code":"US","type":"education","lineage":["https://openalex.org/I82495205"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"W. DAVID PAN","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Alabama in Huntsville, Huntsville, Alabama 35899, USA","Department of Electrical and Computer Engineering , University of Alabama in Huntsville , Huntsville , Alabama , 35899 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Alabama in Huntsville, Huntsville, Alabama 35899, USA","institution_ids":["https://openalex.org/I82495205"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering , University of Alabama in Huntsville , Huntsville , Alabama , 35899 , USA","institution_ids":["https://openalex.org/I82495205"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029050875","display_name":"Seong-Moo Yoo","orcid":"https://orcid.org/0000-0002-2701-917X"},"institutions":[{"id":"https://openalex.org/I82495205","display_name":"University of Alabama in Huntsville","ror":"https://ror.org/02zsxwr40","country_code":"US","type":"education","lineage":["https://openalex.org/I82495205"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"SEONG-MOO YOO","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Alabama in Huntsville, Huntsville, Alabama 35899, USA","Department of Electrical and Computer Engineering , University of Alabama in Huntsville , Huntsville , Alabama , 35899 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Alabama in Huntsville, Huntsville, Alabama 35899, USA","institution_ids":["https://openalex.org/I82495205"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering , University of Alabama in Huntsville , Huntsville , Alabama , 35899 , USA","institution_ids":["https://openalex.org/I82495205"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14526503,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"16","issue":"02","first_page":"153","last_page":"164"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10232","display_name":"Optical Network Technologies","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10232","display_name":"Optical Network Technologies","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9936000108718872,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9908999800682068,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.9424362182617188},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.8062559366226196},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.736565113067627},{"id":"https://openalex.org/keywords/split-radix-fft-algorithm","display_name":"Split-radix FFT algorithm","score":0.7176770567893982},{"id":"https://openalex.org/keywords/prime-factor-fft-algorithm","display_name":"Prime-factor FFT algorithm","score":0.7119388580322266},{"id":"https://openalex.org/keywords/transpose","display_name":"Transpose","score":0.6003174185752869},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5846155881881714},{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.5558569431304932},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5378732681274414},{"id":"https://openalex.org/keywords/parallel-algorithm","display_name":"Parallel algorithm","score":0.5099276304244995},{"id":"https://openalex.org/keywords/throughput","display_name":"Throughput","score":0.43159353733062744},{"id":"https://openalex.org/keywords/twiddle-factor","display_name":"Twiddle factor","score":0.42139625549316406},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.1399693787097931},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.13528919219970703},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.11428961157798767},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.08397302031517029},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.0733988881111145}],"concepts":[{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.9424362182617188},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8062559366226196},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.736565113067627},{"id":"https://openalex.org/C103755468","wikidata":"https://www.wikidata.org/wiki/Q17103599","display_name":"Split-radix FFT algorithm","level":5,"score":0.7176770567893982},{"id":"https://openalex.org/C77928272","wikidata":"https://www.wikidata.org/wiki/Q7243214","display_name":"Prime-factor FFT algorithm","level":5,"score":0.7119388580322266},{"id":"https://openalex.org/C200106649","wikidata":"https://www.wikidata.org/wiki/Q223683","display_name":"Transpose","level":3,"score":0.6003174185752869},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5846155881881714},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.5558569431304932},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5378732681274414},{"id":"https://openalex.org/C120373497","wikidata":"https://www.wikidata.org/wiki/Q1087987","display_name":"Parallel algorithm","level":2,"score":0.5099276304244995},{"id":"https://openalex.org/C157764524","wikidata":"https://www.wikidata.org/wiki/Q1383412","display_name":"Throughput","level":3,"score":0.43159353733062744},{"id":"https://openalex.org/C4697666","wikidata":"https://www.wikidata.org/wiki/Q7857913","display_name":"Twiddle factor","level":5,"score":0.42139625549316406},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.1399693787097931},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.13528919219970703},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.11428961157798767},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.08397302031517029},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.0733988881111145},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s012962640600254x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s012962640600254x","pdf_url":null,"source":{"id":"https://openalex.org/S18360026","display_name":"Parallel Processing Letters","issn_l":"0129-6264","issn":["0129-6264","1793-642X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Processing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W2022042949","https://openalex.org/W2045836768","https://openalex.org/W2102843752","https://openalex.org/W2138252521","https://openalex.org/W2153020818","https://openalex.org/W2163024117","https://openalex.org/W4256206162"],"related_works":["https://openalex.org/W2031343199","https://openalex.org/W1984254719","https://openalex.org/W2151986570","https://openalex.org/W2149121524","https://openalex.org/W2017578039","https://openalex.org/W4229456379","https://openalex.org/W2958343630","https://openalex.org/W2565678612","https://openalex.org/W1965785658","https://openalex.org/W2351401773"],"abstract_inverted_index":{"Computing":[0],"the":[1,8,22,39,57,66,75,83,90,98,104,143,158],"1-D":[2,58],"Fast":[3],"Fourier":[4],"Transform":[5],"(FFT)":[6],"using":[7],"conventional":[9,76],"six-step":[10,77,91,159],"FFT":[11,42,59,78,92,146,160],"algorithm":[12,93],"on":[13,138],"parallel":[14,45,53,95],"computers":[15],"requires":[16],"intensive":[17],"all-to-all":[18,31,61],"communication":[19,32,62,102,130],"due":[20],"to":[21,74,155],"necessity":[23],"of":[24,41,68,85,100,106],"matrix":[25],"transpose":[26],"in":[27,37,43,94],"three":[28],"steps.":[29],"This":[30],"is":[33],"a":[34,110,115,132,150],"limiting":[35],"factor":[36],"improving":[38],"performance":[40],"its":[44],"implementations.":[46],"In":[47],"this":[48,139],"paper,":[49],"we":[50,113],"present":[51],"two":[52,87],"algorithms":[54,88,147],"for":[55],"implementing":[56],"without":[60],"between":[63],"processors,":[64],"at":[65,123],"expense":[67],"increased":[69],"inner-processor":[70,107],"computation":[71],"as":[72],"compared":[73],"algorithm.":[79,161],"Our":[80],"analysis":[81],"reveals":[82],"advantage":[84],"these":[86],"over":[89,157],"systems":[96],"where":[97],"cost":[99,105],"inter-processor":[101,129],"outweighs":[103],"computation.":[108],"As":[109],"case":[111],"study,":[112],"choose":[114],"32-node":[116],"Beowulf":[117],"cluster":[118,140],"with":[119],"fast":[120],"processors":[121],"(running":[122],"2":[124],"GHz)":[125],"but":[126],"relatively":[127],"slow":[128],"(over":[131],"100":[133],"Mbit/s":[134],"switch).":[135],"Simulation":[136],"results":[137],"demonstrate":[141],"that":[142],"proposed":[144],"no-communication":[145],"can":[148],"achieve":[149],"speedup":[151],"ranging":[152],"from":[153],"1.1":[154],"1.5":[156]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}