{"id":"https://openalex.org/W2148131038","doi":"https://doi.org/10.1109/icassp.1982.1171627","title":"Performance and computation ranking of fast unitary transforms in applications","display_name":"Performance and computation ranking of fast unitary transforms in applications","publication_year":2005,"publication_date":"2005-03-24","ids":{"openalex":"https://openalex.org/W2148131038","doi":"https://doi.org/10.1109/icassp.1982.1171627","mag":"2148131038"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.1982.1171627","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1982.1171627","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":"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/A5109927880","display_name":"V. Ralph Algazi","orcid":null},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"V. Algazi","raw_affiliation_strings":["Signal and Image Processing Laboratory Department of Electrical and Computer Engineering, University of California, Davis, CA, USA"],"affiliations":[{"raw_affiliation_string":"Signal and Image Processing Laboratory Department of Electrical and Computer Engineering, University of California, Davis, CA, USA","institution_ids":["https://openalex.org/I84218800"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011184592","display_name":"B.J. Fino","orcid":null},"institutions":[{"id":"https://openalex.org/I4210102591","display_name":"AR2i","ror":"https://ror.org/01g087661","country_code":"FR","type":"facility","lineage":["https://openalex.org/I4210102591"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"B. Fino","raw_affiliation_strings":["TRT, Le Plessis-Robinson, France"],"affiliations":[{"raw_affiliation_string":"TRT, Le Plessis-Robinson, France","institution_ids":["https://openalex.org/I4210102591"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109927880"],"corresponding_institution_ids":["https://openalex.org/I84218800"],"apc_list":null,"apc_paid":null,"fwci":0.6359,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.70951276,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"7","issue":null,"first_page":"32","last_page":"35"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9991000294685364,"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":0.9991000294685364,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9944000244140625,"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/T10232","display_name":"Optical Network Technologies","score":0.9908000230789185,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hadamard-transform","display_name":"Hadamard transform","score":0.8303837776184082},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6618001461029053},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6278926134109497},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6182788610458374},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.5467116832733154},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.4901150166988373},{"id":"https://openalex.org/keywords/discrete-cosine-transform","display_name":"Discrete cosine transform","score":0.4785914421081543},{"id":"https://openalex.org/keywords/discrete-fourier-transform","display_name":"Discrete Fourier transform (general)","score":0.4727143943309784},{"id":"https://openalex.org/keywords/encoding","display_name":"Encoding (memory)","score":0.4632720947265625},{"id":"https://openalex.org/keywords/hartley-transform","display_name":"Hartley transform","score":0.46103692054748535},{"id":"https://openalex.org/keywords/discrete-hartley-transform","display_name":"Discrete Hartley transform","score":0.4505782425403595},{"id":"https://openalex.org/keywords/walsh-function","display_name":"Walsh function","score":0.438218355178833},{"id":"https://openalex.org/keywords/haar","display_name":"Haar","score":0.43208375573158264},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.4234214723110199},{"id":"https://openalex.org/keywords/transform-coding","display_name":"Transform coding","score":0.41977083683013916},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3862342834472656},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.3779560327529907},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3077896237373352},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.25532352924346924},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22030970454216003},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.13876649737358093},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.12238159775733948}],"concepts":[{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.8303837776184082},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6618001461029053},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6278926134109497},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6182788610458374},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.5467116832733154},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.4901150166988373},{"id":"https://openalex.org/C2221639","wikidata":"https://www.wikidata.org/wiki/Q2877","display_name":"Discrete cosine transform","level":3,"score":0.4785914421081543},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.4727143943309784},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.4632720947265625},{"id":"https://openalex.org/C67757890","wikidata":"https://www.wikidata.org/wiki/Q1567607","display_name":"Hartley transform","level":5,"score":0.46103692054748535},{"id":"https://openalex.org/C192853989","wikidata":"https://www.wikidata.org/wiki/Q1006531","display_name":"Discrete Hartley transform","level":5,"score":0.4505782425403595},{"id":"https://openalex.org/C164319782","wikidata":"https://www.wikidata.org/wiki/Q1934233","display_name":"Walsh function","level":2,"score":0.438218355178833},{"id":"https://openalex.org/C187029792","wikidata":"https://www.wikidata.org/wiki/Q2179112","display_name":"Haar","level":3,"score":0.43208375573158264},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.4234214723110199},{"id":"https://openalex.org/C169805256","wikidata":"https://www.wikidata.org/wiki/Q1361381","display_name":"Transform coding","level":4,"score":0.41977083683013916},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3862342834472656},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.3779560327529907},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3077896237373352},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.25532352924346924},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22030970454216003},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.13876649737358093},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.12238159775733948},{"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/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.1982.1171627","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1982.1171627","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W256259101","https://openalex.org/W1967066785","https://openalex.org/W2000108174","https://openalex.org/W2017911681","https://openalex.org/W2031614119","https://openalex.org/W2046682096","https://openalex.org/W2066374992","https://openalex.org/W2086614154","https://openalex.org/W2087469844","https://openalex.org/W2100719603","https://openalex.org/W2142901448","https://openalex.org/W2142930126","https://openalex.org/W2166619387","https://openalex.org/W4239894305","https://openalex.org/W4299922813"],"related_works":["https://openalex.org/W4320041044","https://openalex.org/W4238370364","https://openalex.org/W1034517188","https://openalex.org/W2131846413","https://openalex.org/W3142921214","https://openalex.org/W2497505190","https://openalex.org/W1507457523","https://openalex.org/W1984479816","https://openalex.org/W2079532927","https://openalex.org/W2008497494"],"abstract_inverted_index":{"For":[0,17],"several":[1],"signal":[2,18,34],"processing":[3,135],"applications,":[4],"the":[5,28,42,63,84,131],"usefulness":[6],"of":[7,86,134],"Fast":[8],"Unitary":[9],"Transforms":[10,76],"(FUT)":[11],"is":[12,24,36,45],"now":[13],"well":[14,25],"recognized":[15],"[1-7].":[16],"representation,":[19],"filtering":[20],"and":[21,54,61,73,82,93,100,108,117],"encoding,":[22],"it":[23],"known":[26],"that":[27],"Karhunen-Loeve":[29],"(KL)":[30],"Transform,":[31],"based":[32],"on":[33],"statistics,":[35],"optimum":[37],"in":[38,80],"various":[39],"senses,":[40],"but":[41],"KL":[43],"Transform":[44],"slow.":[46],"Suboptimum":[47],"FUT's":[48],"allow":[49],"a":[50,125],"trade-off":[51],"between":[52],"performance":[53,79,107,126],"speed.":[55],"In":[56,91],"this":[57],"paper,":[58],"we":[59,110],"compare":[60,114],"rank":[62],"KL,":[64],"Fourier,":[65],"Walsh-Hadamard,":[66],"Haar,":[67],"Discrete":[68],"Cosine,":[69],"Slant":[70,74],"Walsh":[71],"Hadamard":[72],"Haar":[75],"by":[77,83],"their":[78],"applications":[81],"number":[85],"elementary":[87],"operations":[88],"they":[89],"require.":[90],"encoding":[92],"filtering,":[94],"recursive":[95,116],"techniques":[96],"are":[97,101,111],"widely":[98],"used":[99],"generally":[102],"fast.":[103],"By":[104],"considering":[105],"both":[106],"computations":[109],"able":[112],"to":[113,123],"directly":[115],"transform":[118],"algorithms.":[119],"The":[120],"comparison":[121],"brings":[122],"light":[124],"versus":[127],"computation":[128],"bound":[129],"for":[130],"two":[132],"classes":[133],"techniques.":[136]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}