{"id":"https://openalex.org/W2128616303","doi":"https://doi.org/10.1109/iscas.2005.1464629","title":"Generalized Fastest Linearly Independent Arithmetic Transforms","display_name":"Generalized Fastest Linearly Independent Arithmetic Transforms","publication_year":2005,"publication_date":"2005-07-27","ids":{"openalex":"https://openalex.org/W2128616303","doi":"https://doi.org/10.1109/iscas.2005.1464629","mag":"2128616303"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2005.1464629","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2005.1464629","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2005 IEEE International Symposium on Circuits and Systems","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/A5016478346","display_name":"B.J. Falkowski","orcid":null},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"B.J. Falkowski","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063157227","display_name":"C.C. Lozano","orcid":null},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"C.C. Lozano","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054558832","display_name":"Susanto Rahardja","orcid":"https://orcid.org/0000-0003-0831-6934"},"institutions":[{"id":"https://openalex.org/I3005327000","display_name":"Institute for Infocomm Research","ror":"https://ror.org/053rfa017","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115228651","https://openalex.org/I3005327000","https://openalex.org/I91275662"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"S. Rahardja","raw_affiliation_strings":["Institute for Infocomm Research, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Infocomm Research, Singapore","institution_ids":["https://openalex.org/I3005327000"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2826,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.81061362,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"480","last_page":"483"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9980999827384949,"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":0.9980999827384949,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9886999726295471,"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/T11873","display_name":"PAPR reduction in OFDM","score":0.9592999815940857,"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/arithmetic","display_name":"Arithmetic","score":0.5511634945869446},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5302343368530273},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.5273148417472839},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47243934869766235},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.4444623291492462},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42247021198272705},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4221777319908142},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06605815887451172}],"concepts":[{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5511634945869446},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5302343368530273},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.5273148417472839},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47243934869766235},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4444623291492462},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42247021198272705},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4221777319908142},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06605815887451172},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iscas.2005.1464629","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2005.1464629","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2005 IEEE International Symposium on Circuits and Systems","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":10,"referenced_works":["https://openalex.org/W614408993","https://openalex.org/W1485204014","https://openalex.org/W1506736384","https://openalex.org/W2000886962","https://openalex.org/W2007021542","https://openalex.org/W2103544847","https://openalex.org/W2124264544","https://openalex.org/W2483996605","https://openalex.org/W3147529759","https://openalex.org/W6650823033"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2075768550","https://openalex.org/W3022218857","https://openalex.org/W2073681303","https://openalex.org/W2369178846","https://openalex.org/W2370289839","https://openalex.org/W2082716031","https://openalex.org/W2933494595","https://openalex.org/W4313347705","https://openalex.org/W2189341500"],"abstract_inverted_index":{"A":[0],"pair":[1],"of":[2,45],"fastest":[3,47,68,87],"linearly":[4],"independent":[5],"arithmetic":[6],"(LIA)":[7],"transforms":[8,19,28,59,70,77,89],"and":[9,33,71,75],"their":[10,34,72],"properties":[11,83],"have":[12,20,30,60],"been":[13,31],"discussed":[14],"in":[15],"recent":[16],"papers.":[17],"The":[18,57],"the":[21,46,61,66,85],"smallest":[22],"computational":[23,63],"complexities":[24],"among":[25],"all":[26],"LIA":[27,48,53,69,88],"that":[29],"introduced":[32],"spectra":[35],"can":[36,78],"be":[37,79],"calculated":[38],"efficiently":[39],"using":[40],"fast":[41,73],"transforms.":[42],"An":[43],"extension":[44],"transforms,":[49,54],"to":[50],"produce":[51],"new":[52,58,86],"is":[55],"proposed.":[56],"same":[62],"complexity":[64],"as":[65],"existing":[67],"forward":[74],"inverse":[76],"easily":[80],"calculated.":[81],"Some":[82],"for":[84],"are":[90],"also":[91],"presented":[92],"here.":[93]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
