{"id":"https://openalex.org/W2100848631","doi":"https://doi.org/10.1109/tasl.2009.2026507","title":"Alias-Suppressed Oscillators Based on Differentiated Polynomial Waveforms","display_name":"Alias-Suppressed Oscillators Based on Differentiated Polynomial Waveforms","publication_year":2009,"publication_date":"2009-07-01","ids":{"openalex":"https://openalex.org/W2100848631","doi":"https://doi.org/10.1109/tasl.2009.2026507","mag":"2100848631"},"language":"en","primary_location":{"id":"doi:10.1109/tasl.2009.2026507","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tasl.2009.2026507","pdf_url":null,"source":{"id":"https://openalex.org/S199497470","display_name":"IEEE Transactions on Audio Speech and Language Processing","issn_l":"1558-7916","issn":["1558-7916","1558-7924"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Audio, Speech, and Language Processing","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/A5021963945","display_name":"Vesa V\u00e4lim\u00e4ki","orcid":"https://orcid.org/0000-0002-7869-292X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vesa Valimaki","raw_affiliation_strings":["Center of Computer Research in Music and Acoustics (CCRMA), University of Stanford, Stanford, CA, USA","Department of Signal Processing and Acoustics, Helsinki University of Technology, Espoo, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center of Computer Research in Music and Acoustics (CCRMA), University of Stanford, Stanford, CA, USA","institution_ids":[]},{"raw_affiliation_string":"Department of Signal Processing and Acoustics, Helsinki University of Technology, Espoo, Finland","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056437111","display_name":"Juhan Nam","orcid":"https://orcid.org/0000-0003-2664-2119"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Juhan Nam","raw_affiliation_strings":["Center of Computer Research in Music and Acoustics (CCRMA), University of Stanford, Stanford, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center of Computer Research in Music and Acoustics (CCRMA), University of Stanford, Stanford, CA, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015837093","display_name":"Julius O. Smith","orcid":"https://orcid.org/0000-0002-5251-2935"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Julius O. Smith","raw_affiliation_strings":["Center of Computer Research in Music and Acoustics (CCRMA), University of Stanford, Stanford, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center of Computer Research in Music and Acoustics (CCRMA), University of Stanford, Stanford, CA, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111856554","display_name":"Jonathan S. Abel","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jonathan S. Abel","raw_affiliation_strings":["Center of Computer Research in Music and Acoustics (CCRMA), University of Stanford, Stanford, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center of Computer Research in Music and Acoustics (CCRMA), University of Stanford, Stanford, CA, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.8574,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.90607405,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"18","issue":"4","first_page":"786","last_page":"798"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9990000128746033,"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":0.9990000128746033,"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/T11349","display_name":"Music Technology and Sound Studies","score":0.9972000122070312,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9962999820709229,"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/sawtooth-wave","display_name":"Sawtooth wave","score":0.9035108089447021},{"id":"https://openalex.org/keywords/alias","display_name":"Alias","score":0.8138270378112793},{"id":"https://openalex.org/keywords/waveform","display_name":"Waveform","score":0.6534159183502197},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6387791633605957},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5552718043327332},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5288276076316833},{"id":"https://openalex.org/keywords/bandlimiting","display_name":"Bandlimiting","score":0.46907728910446167},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4016919434070587},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22516179084777832},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.14836624264717102},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.14585965871810913}],"concepts":[{"id":"https://openalex.org/C148837635","wikidata":"https://www.wikidata.org/wiki/Q1742397","display_name":"Sawtooth wave","level":2,"score":0.9035108089447021},{"id":"https://openalex.org/C46681722","wikidata":"https://www.wikidata.org/wiki/Q4725589","display_name":"Alias","level":2,"score":0.8138270378112793},{"id":"https://openalex.org/C197424946","wikidata":"https://www.wikidata.org/wiki/Q1165717","display_name":"Waveform","level":3,"score":0.6534159183502197},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6387791633605957},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5552718043327332},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5288276076316833},{"id":"https://openalex.org/C129997835","wikidata":"https://www.wikidata.org/wiki/Q806263","display_name":"Bandlimiting","level":3,"score":0.46907728910446167},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4016919434070587},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22516179084777832},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.14836624264717102},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.14585965871810913},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tasl.2009.2026507","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tasl.2009.2026507","pdf_url":null,"source":{"id":"https://openalex.org/S199497470","display_name":"IEEE Transactions on Audio Speech and Language Processing","issn_l":"1558-7916","issn":["1558-7916","1558-7924"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Audio, Speech, and Language Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W96364143","https://openalex.org/W131146354","https://openalex.org/W1033957838","https://openalex.org/W1482089032","https://openalex.org/W1489573402","https://openalex.org/W1510182197","https://openalex.org/W1525087672","https://openalex.org/W1582754750","https://openalex.org/W1590236939","https://openalex.org/W1968334795","https://openalex.org/W1970308149","https://openalex.org/W1981534370","https://openalex.org/W2039396032","https://openalex.org/W2043843997","https://openalex.org/W2045781148","https://openalex.org/W2049703780","https://openalex.org/W2092387354","https://openalex.org/W2112709763","https://openalex.org/W2153493107","https://openalex.org/W2169637730","https://openalex.org/W2329320159","https://openalex.org/W2518258803","https://openalex.org/W4212964046","https://openalex.org/W4298040607","https://openalex.org/W4301513688","https://openalex.org/W6603952061","https://openalex.org/W6628786053","https://openalex.org/W6629414630","https://openalex.org/W6631393796","https://openalex.org/W6634848360"],"related_works":["https://openalex.org/W1616098173","https://openalex.org/W172707731","https://openalex.org/W2049617177","https://openalex.org/W2030774588","https://openalex.org/W1636853822","https://openalex.org/W2106314783","https://openalex.org/W93076571","https://openalex.org/W4224216102","https://openalex.org/W1895402015","https://openalex.org/W2564282253"],"abstract_inverted_index":{"An":[0,126],"efficient":[1],"approach":[2],"to":[3,32,56],"the":[4,38,50,85,120,123,145,149],"generation":[5],"of":[6,21,37,65,92,148,160],"classical":[7],"synthesizer":[8],"waveforms":[9,23,47,102],"with":[10],"reduced":[11],"aliasing":[12],"is":[13,141],"proposed.":[14],"This":[15],"paper":[16],"introduces":[17],"two":[18,69],"new":[19],"classes":[20],"polynomial":[22,46,58,81,86],"that":[24,136],"can":[25,70,103,115],"be":[26,71,104,116],"differentiated":[27,45,52],"one":[28],"or":[29,82,122],"more":[30],"times":[31],"obtain":[33],"an":[34],"improved":[35,61],"version":[36],"sampled":[39],"sawtooth":[40,121],"and":[41,131],"triangular":[42,110],"signals.":[43],"The":[44,152],"(DPW)":[48],"extend":[49],"previous":[51,78],"parabolic":[53],"wave":[54],"method":[55,140],"higher":[57,67],"orders,":[59],"providing":[60],"alias-suppression.":[62],"Suitable":[63],"polynomials":[64],"order":[66,80],"than":[68],"derived":[72],"either":[73],"by":[74,83,107,118],"analytically":[75],"integrating":[76],"a":[77,90,109,137],"lower":[79],"solving":[84],"coefficients":[87],"directly":[88],"from":[89],"set":[91],"equations":[93],"based":[94],"on":[95],"constraints.":[96],"We":[97],"also":[98],"show":[99],"how":[100],"rectangular":[101,124],"easily":[105],"produced":[106],"differentiating":[108,119],"signal.":[111,125],"Bandlimited":[112],"impulse":[113],"trains":[114],"obtained":[117],"objective":[127],"evaluation":[128],"using":[129],"masking":[130],"hearing":[132],"threshold":[133],"models":[134],"shows":[135],"fourth-order":[138],"DPW":[139],"perceptually":[142],"alias-free":[143],"over":[144],"whole":[146],"register":[147],"grand":[150],"piano.":[151],"proposed":[153],"methods":[154],"are":[155],"applicable":[156],"in":[157],"digital":[158],"implementations":[159],"subtractive":[161],"sound":[162],"synthesis.":[163]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
