{"id":"https://openalex.org/W1568085397","doi":"https://doi.org/10.1109/ecctd.2005.1522929","title":"Efficient sine and cosine computation using a weighted sum of bit-products","display_name":"Efficient sine and cosine computation using a weighted sum of bit-products","publication_year":2006,"publication_date":"2006-10-11","ids":{"openalex":"https://openalex.org/W1568085397","doi":"https://doi.org/10.1109/ecctd.2005.1522929","mag":"1568085397"},"language":"en","primary_location":{"id":"doi:10.1109/ecctd.2005.1522929","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecctd.2005.1522929","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2005 European Conference on Circuit Theory and Design, 2005.","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/A5077056160","display_name":"Lars Wanhammar","orcid":null},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"L. Wanhammar","raw_affiliation_strings":["Linkopings universitet, Linkoping, SE","[Dept. of Electr. Eng., Linkoping Univ., Sweden]"],"affiliations":[{"raw_affiliation_string":"Linkopings universitet, Linkoping, SE","institution_ids":["https://openalex.org/I102134673"]},{"raw_affiliation_string":"[Dept. of Electr. Eng., Linkoping Univ., Sweden]","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052646180","display_name":"Kenny Johansson","orcid":null},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"K. Johansson","raw_affiliation_strings":["Linkopings universitet, Linkoping, SE","[Dept. of Electr. Eng., Linkoping Univ., Sweden]"],"affiliations":[{"raw_affiliation_string":"Linkopings universitet, Linkoping, SE","institution_ids":["https://openalex.org/I102134673"]},{"raw_affiliation_string":"[Dept. of Electr. Eng., Linkoping Univ., Sweden]","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028423819","display_name":"Oscar Gustafsson","orcid":"https://orcid.org/0000-0003-3470-3911"},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"O. Gustafsson","raw_affiliation_strings":["Department of Electrical Engineering, Link\u00f6ping University, Linkoping, Sweden","[Dept. of Electr. Eng., Linkoping Univ., Sweden]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Link\u00f6ping University, Linkoping, Sweden","institution_ids":["https://openalex.org/I102134673"]},{"raw_affiliation_string":"[Dept. of Electr. Eng., Linkoping Univ., Sweden]","institution_ids":["https://openalex.org/I102134673"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5077056160"],"corresponding_institution_ids":["https://openalex.org/I102134673"],"apc_list":null,"apc_paid":null,"fwci":3.0335,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.90672384,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"1","issue":null,"first_page":"139","last_page":"142"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9998999834060669,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9984999895095825,"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/T11417","display_name":"Advancements in PLL and VCO Technologies","score":0.9897000193595886,"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/realization","display_name":"Realization (probability)","score":0.6296525001525879},{"id":"https://openalex.org/keywords/sine","display_name":"Sine","score":0.6132985353469849},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5995513200759888},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5548683404922485},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5532934069633484},{"id":"https://openalex.org/keywords/discrete-cosine-transform","display_name":"Discrete cosine transform","score":0.5286137461662292},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5234771966934204},{"id":"https://openalex.org/keywords/trigonometric-functions","display_name":"Trigonometric functions","score":0.5028061866760254},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.43143635988235474},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.42962661385536194},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.41567206382751465},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34997043013572693},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3076181709766388},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08721131086349487}],"concepts":[{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.6296525001525879},{"id":"https://openalex.org/C186661526","wikidata":"https://www.wikidata.org/wiki/Q13647261","display_name":"Sine","level":2,"score":0.6132985353469849},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5995513200759888},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5548683404922485},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5532934069633484},{"id":"https://openalex.org/C2221639","wikidata":"https://www.wikidata.org/wiki/Q2877","display_name":"Discrete cosine transform","level":3,"score":0.5286137461662292},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5234771966934204},{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.5028061866760254},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.43143635988235474},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.42962661385536194},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.41567206382751465},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34997043013572693},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3076181709766388},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08721131086349487},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/ecctd.2005.1522929","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecctd.2005.1522929","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2005 European Conference on Circuit Theory and Design, 2005.","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.407.8191","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.407.8191","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.es.isy.liu.se/publications/papers_and_reports/2005/larsw_ecctd_2005.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W2096343316","https://openalex.org/W2106170074","https://openalex.org/W2115452265","https://openalex.org/W2130515175","https://openalex.org/W2131952525","https://openalex.org/W2132324656","https://openalex.org/W2135613480","https://openalex.org/W2139581437"],"related_works":["https://openalex.org/W2063166054","https://openalex.org/W2358475213","https://openalex.org/W3142213391","https://openalex.org/W1775321609","https://openalex.org/W2028663913","https://openalex.org/W4226341002","https://openalex.org/W2124469656","https://openalex.org/W4385749744","https://openalex.org/W2588864086","https://openalex.org/W4316092752"],"abstract_inverted_index":{"An":[0],"angle":[1,28],"rotation":[2],"based":[3],"approach":[4,14,52],"to":[5],"simultaneously":[6],"compute":[7],"sin(x)":[8],"and":[9,67,76],"cos(x)":[10],"is":[11],"presented.":[12],"The":[13,51,70],"yields":[15,53],"a":[16,54,58,64,82],"weighted":[17],"sum":[18],"of":[19,21,35,49],"bit-products":[20],"the":[22,27,32,38,43],"binary":[23],"bits":[24],"that":[25],"represent":[26],"x.":[29],"We":[30,61],"discuss":[31],"required":[33,44],"number":[34],"terms":[36],"in":[37],"polynomial":[39],"as":[40,42,47],"well":[41],"coefficient":[45],"wordlength":[46],"function":[48],"accuracy.":[50],"combinatorial":[55,71],"realization":[56],"with":[57],"low":[59,74],"complexity.":[60],"also":[62],"propose":[63],"corresponding":[65],"fast":[66],"simple":[68],"architecture.":[69],"circuit":[72],"has":[73],"latency":[75],"can":[77],"easily":[78],"be":[79],"pipelined":[80],"for":[81],"high":[83],"throughput.":[84]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}