{"id":"https://openalex.org/W2120401159","doi":"https://doi.org/10.1109/tcsii.2011.2168022","title":"Digital Fractional Order Savitzky-Golay Differentiator","display_name":"Digital Fractional Order Savitzky-Golay Differentiator","publication_year":2011,"publication_date":"2011-11-01","ids":{"openalex":"https://openalex.org/W2120401159","doi":"https://doi.org/10.1109/tcsii.2011.2168022","mag":"2120401159"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2011.2168022","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2011.2168022","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","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/A5014297402","display_name":"Dali Chen","orcid":"https://orcid.org/0000-0002-0787-825X"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Dali Chen","raw_affiliation_strings":["College of Information Science and Engineering, Northeastern University, Shenyang, China","[College of Information Science & Engineering, Northeastern University, Shenyang, CHINA]"],"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"[College of Information Science & Engineering, Northeastern University, Shenyang, CHINA]","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100715957","display_name":"YangQuan Chen","orcid":"https://orcid.org/0000-0002-7422-5988"},"institutions":[{"id":"https://openalex.org/I121980950","display_name":"Utah State University","ror":"https://ror.org/00h6set76","country_code":"US","type":"education","lineage":["https://openalex.org/I121980950"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"YangQuan Chen","raw_affiliation_strings":["Center of Self-Organizing and Intelligent Systems, Department of Electrical and Computer Engineering, Utah State University, Logan, UT, USA","Dept. of Electr. & Comput Eng., Utah State Univ., Logan, UT, USA"],"affiliations":[{"raw_affiliation_string":"Center of Self-Organizing and Intelligent Systems, Department of Electrical and Computer Engineering, Utah State University, Logan, UT, USA","institution_ids":["https://openalex.org/I121980950"]},{"raw_affiliation_string":"Dept. of Electr. & Comput Eng., Utah State Univ., Logan, UT, USA","institution_ids":["https://openalex.org/I121980950"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085690680","display_name":"Dingy\u00fc Xue","orcid":"https://orcid.org/0000-0002-9310-679X"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dingyu Xue","raw_affiliation_strings":["College of Information Science and Engineering, Northeastern University, Shenyang, China","[College of Information Science & Engineering, Northeastern University, Shenyang, CHINA]"],"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"[College of Information Science & Engineering, Northeastern University, Shenyang, CHINA]","institution_ids":["https://openalex.org/I9224756"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5014297402"],"corresponding_institution_ids":["https://openalex.org/I9224756"],"apc_list":null,"apc_paid":null,"fwci":19.0431,"has_fulltext":false,"cited_by_count":103,"citation_normalized_percentile":{"value":0.99281065,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":100},"biblio":{"volume":"58","issue":"11","first_page":"758","last_page":"762"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11081","display_name":"Advanced Control Systems Design","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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":0.9904000163078308,"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9891999959945679,"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/differentiator","display_name":"Differentiator","score":0.9105101227760315},{"id":"https://openalex.org/keywords/binary-golay-code","display_name":"Binary Golay code","score":0.7724097967147827},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6039580702781677},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.5548311471939087},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.523707926273346},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.5214754343032837},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4899879992008209},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.47570499777793884},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46584972739219666},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4343523383140564},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.42763757705688477},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.41119492053985596},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4074589014053345},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2744296193122864},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2481231689453125},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.21786782145500183}],"concepts":[{"id":"https://openalex.org/C12112733","wikidata":"https://www.wikidata.org/wiki/Q2659948","display_name":"Differentiator","level":3,"score":0.9105101227760315},{"id":"https://openalex.org/C165293857","wikidata":"https://www.wikidata.org/wiki/Q1534522","display_name":"Binary Golay code","level":2,"score":0.7724097967147827},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6039580702781677},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.5548311471939087},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.523707926273346},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.5214754343032837},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4899879992008209},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.47570499777793884},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46584972739219666},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4343523383140564},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.42763757705688477},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.41119492053985596},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4074589014053345},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2744296193122864},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2481231689453125},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.21786782145500183},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcsii.2011.2168022","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2011.2168022","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.648.5648","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.648.5648","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://mechatronics.ece.usu.edu/foc/fdta11/papers/DETC2011-47864.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W55790716","https://openalex.org/W1942554340","https://openalex.org/W1975681346","https://openalex.org/W1994016223","https://openalex.org/W2102842504","https://openalex.org/W2105646987","https://openalex.org/W2132686062","https://openalex.org/W2134573036","https://openalex.org/W2135383574","https://openalex.org/W2139336218","https://openalex.org/W2141404703","https://openalex.org/W2150823344","https://openalex.org/W2155572235","https://openalex.org/W2161400602","https://openalex.org/W2161411167","https://openalex.org/W2163481949","https://openalex.org/W2166672111","https://openalex.org/W2505237417"],"related_works":["https://openalex.org/W2371530940","https://openalex.org/W1560887869","https://openalex.org/W2029024449","https://openalex.org/W2109780951","https://openalex.org/W1641778210","https://openalex.org/W1994327371","https://openalex.org/W2064008010","https://openalex.org/W3009505201","https://openalex.org/W2358790327","https://openalex.org/W2146736923"],"abstract_inverted_index":{"This":[0],"brief":[1],"proposes":[2],"a":[3,7,99],"design":[4],"method":[5,39,49],"for":[6,27],"digital":[8],"fractional":[9,25,30,53,61,100,114],"order":[10,22,26,31,54,62,101,115],"Savitzky-Golay":[11,17],"differentiator":[12,96],"(DFOSGD),":[13],"which":[14],"generalizes":[15],"the":[16,20,24,29,34,41,46,51,60,65,69,72,75,79,84,94,107,113],"filter":[18],"from":[19],"integer":[21],"to":[23],"estimating":[28],"derivative":[32,55,63],"of":[33,64,78,117],"contaminated":[35,122],"signal.":[36,123],"The":[37],"proposed":[38,95,108],"calculates":[40],"moving":[42],"window's":[43],"weights":[44,73],"using":[45,68],"polynomial":[47],"least-squares":[48],"and":[50,57,74,121],"Riemann-Liouville":[52],"definition,":[56],"then":[58],"computes":[59],"given":[66],"signal":[67,120],"convolution":[70],"between":[71],"signal,":[76],"instead":[77],"complex":[80],"mathematical":[81],"deduction.":[82],"Hence,":[83],"computation":[85],"time":[86],"is":[87,97],"greatly":[88],"improved.":[89],"Frequency-domain":[90],"analysis":[91],"reveals":[92],"that":[93,106],"essentially":[98],"low-pass":[102],"filter.":[103],"Experiments":[104],"demonstrate":[105],"DFOSGD":[109],"can":[110],"accurately":[111],"estimate":[112],"derivatives":[116],"both":[118],"noise-free":[119]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":18},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":16},{"year":2012,"cited_by_count":6}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}