{"id":"https://openalex.org/W1973261402","doi":"https://doi.org/10.1109/tsp.2012.2225055","title":"On the Selection of Optimum Savitzky-Golay Filters","display_name":"On the Selection of Optimum Savitzky-Golay Filters","publication_year":2012,"publication_date":"2012-10-16","ids":{"openalex":"https://openalex.org/W1973261402","doi":"https://doi.org/10.1109/tsp.2012.2225055","mag":"1973261402"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2012.2225055","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2012.2225055","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal 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/A5053462998","display_name":"Sunder Ram Krishnan","orcid":"https://orcid.org/0000-0003-4844-325X"},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sunder Ram Krishnan","raw_affiliation_strings":["The Department of Electrical Engineering, Indian Institute of Science, Bangalore, Karnataka, India","[Dept. of Electr. Eng., Indian Inst. of Sci., Bangalore, India]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Department of Electrical Engineering, Indian Institute of Science, Bangalore, Karnataka, India","institution_ids":["https://openalex.org/I59270414"]},{"raw_affiliation_string":"[Dept. of Electr. Eng., Indian Inst. of Sci., Bangalore, India]","institution_ids":["https://openalex.org/I59270414"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005652970","display_name":"Chandra Sekhar Seelamantula","orcid":"https://orcid.org/0000-0001-9049-1912"},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Chandra Sekhar Seelamantula","raw_affiliation_strings":["The Department of Electrical Engineering, Indian Institute of Science, Bangalore, Karnataka, India","[Dept. of Electr. Eng., Indian Inst. of Sci., Bangalore, India]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Department of Electrical Engineering, Indian Institute of Science, Bangalore, Karnataka, India","institution_ids":["https://openalex.org/I59270414"]},{"raw_affiliation_string":"[Dept. of Electr. Eng., Indian Inst. of Sci., Bangalore, India]","institution_ids":["https://openalex.org/I59270414"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I59270414"],"apc_list":null,"apc_paid":null,"fwci":5.4454,"has_fulltext":false,"cited_by_count":236,"citation_normalized_percentile":{"value":0.95889148,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"61","issue":"2","first_page":"380","last_page":"391"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9998000264167786,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9988999962806702,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6652529835700989},{"id":"https://openalex.org/keywords/pointwise","display_name":"Pointwise","score":0.6455245614051819},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6304507255554199},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.6162515878677368},{"id":"https://openalex.org/keywords/binary-golay-code","display_name":"Binary Golay code","score":0.5749255418777466},{"id":"https://openalex.org/keywords/finite-impulse-response","display_name":"Finite impulse response","score":0.5731005668640137},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5722445249557495},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.4703781008720398},{"id":"https://openalex.org/keywords/adaptive-filter","display_name":"Adaptive filter","score":0.42607322335243225},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36721888184547424},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3342772126197815},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24930992722511292}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6652529835700989},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.6455245614051819},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6304507255554199},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.6162515878677368},{"id":"https://openalex.org/C165293857","wikidata":"https://www.wikidata.org/wiki/Q1534522","display_name":"Binary Golay code","level":2,"score":0.5749255418777466},{"id":"https://openalex.org/C198386975","wikidata":"https://www.wikidata.org/wiki/Q117785","display_name":"Finite impulse response","level":2,"score":0.5731005668640137},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5722445249557495},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.4703781008720398},{"id":"https://openalex.org/C102248274","wikidata":"https://www.wikidata.org/wiki/Q168388","display_name":"Adaptive filter","level":2,"score":0.42607322335243225},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36721888184547424},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3342772126197815},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24930992722511292},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsp.2012.2225055","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2012.2225055","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:eprints.iisc.ac.in:46005","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196309","display_name":"NOT FOUND REPOSITORY (Indian Institute of Science Bangalore)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I59270414","host_organization_name":"Indian Institute of Science Bangalore","host_organization_lineage":["https://openalex.org/I59270414"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W250076511","https://openalex.org/W1989411243","https://openalex.org/W2007203285","https://openalex.org/W2043022774","https://openalex.org/W2054640142","https://openalex.org/W2103559027","https://openalex.org/W2103989293","https://openalex.org/W2109606373","https://openalex.org/W2113920645","https://openalex.org/W2121203842","https://openalex.org/W2140742952","https://openalex.org/W2145568341","https://openalex.org/W2146842127","https://openalex.org/W2150823344","https://openalex.org/W2154688547","https://openalex.org/W2157809220","https://openalex.org/W2158642611","https://openalex.org/W2158674205","https://openalex.org/W2164549078","https://openalex.org/W2212271491","https://openalex.org/W2405266196","https://openalex.org/W2792296590","https://openalex.org/W2963726588","https://openalex.org/W3021246344","https://openalex.org/W3083161613","https://openalex.org/W4206419526","https://openalex.org/W4245187915","https://openalex.org/W4255521522"],"related_works":["https://openalex.org/W1990336786","https://openalex.org/W2012585113","https://openalex.org/W2028812061","https://openalex.org/W2128106185","https://openalex.org/W2357150135","https://openalex.org/W2035606446","https://openalex.org/W2133133185","https://openalex.org/W2163053524","https://openalex.org/W1931053673","https://openalex.org/W1812084096"],"abstract_inverted_index":{"Savitzky-Golay":[0],"(S-G)":[1],"filters":[2,8],"are":[3,191],"finite":[4],"impulse":[5,51],"response":[6],"lowpass":[7],"obtained":[9],"while":[10,77],"smoothing":[11],"data":[12],"using":[13,96],"a":[14,49,63,83,159],"local":[15,29],"least-squares":[16],"(LS)":[17],"polynomial":[18],"approximation.":[19],"Savitzky":[20],"and":[21,34,122,134,193],"Golay":[22],"proved":[23],"in":[24,92,138,162,194,204],"their":[25,35],"hallmark":[26],"paper":[27],"that":[28,55,104,149,187],"LS":[30],"fitting":[31],"of":[32,40,82,109],"polynomials":[33],"evaluation":[36],"at":[37],"the":[38,41,79,88,93,105,110,117,132,150,163,169,188,205],"mid-point":[39],"approximation":[42],"interval":[43],"is":[44,114,147],"equivalent":[45],"to":[46,61,128],"filtering":[47],"with":[48],"fixed":[50],"response.":[52],"The":[53,177],"problem":[54],"we":[56],"address":[57],"here":[58],"is,":[59],"\u201chow":[60],"choose":[62],"pointwise":[64],"minimum":[65],"mean":[66],"squared":[67],"error":[68],"(MMSE)":[69],"S-G":[70,112],"filter":[71,113,152],"length":[72,153],"or":[73],"order":[74],"for":[75],"smoothing,":[76],"preserving":[78],"temporal":[80],"structure":[81],"time-varying":[84],"signal.\u201d":[85],"We":[86,102,167],"solve":[87],"bias-variance":[89],"tradeoff":[90],"involved":[91],"MMSE":[94],"optimization":[95],"Stein's":[97],"unbiased":[98],"risk":[99],"estimator":[100],"(SURE).":[101],"observe":[103],"3-dB":[106],"cutoff":[107],"frequency":[108],"SURE-optimal":[111],"higher":[115],"where":[116],"signal":[118],"varies":[119],"fast":[120],"locally,":[121],"vice":[123],"versa,":[124],"essentially":[125],"enabling":[126],"us":[127],"suitably":[129],"trade":[130],"off":[131],"bias":[133],"variance,":[135],"thereby":[136],"resulting":[137],"near-MMSE":[139],"performance.":[140],"At":[141],"low":[142],"signal-to-noise":[143],"ratios":[144],"(SNRs),":[145],"it":[146],"seen":[148],"adaptive":[151],"algorithm":[154,170],"performance":[155,171,184],"improves":[156],"by":[157],"incorporating":[158],"regularization":[160],"term":[161],"SURE":[164],"objective":[165],"function.":[166],"consider":[168],"on":[172],"real-world":[173],"electrocardiogram":[174],"(ECG)":[175],"signals.":[176],"results":[178],"exhibit":[179],"considerable":[180],"SNR":[181],"improvement.":[182],"Noise":[183],"analysis":[185],"shows":[186],"proposed":[189],"algorithms":[190],"comparable,":[192],"some":[195,199],"cases,":[196],"better":[197],"than":[198],"standard":[200],"denoising":[201],"techniques":[202],"available":[203],"literature.":[206]},"counts_by_year":[{"year":2026,"cited_by_count":19},{"year":2025,"cited_by_count":35},{"year":2024,"cited_by_count":30},{"year":2023,"cited_by_count":24},{"year":2022,"cited_by_count":17},{"year":2021,"cited_by_count":19},{"year":2020,"cited_by_count":24},{"year":2019,"cited_by_count":18},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":12},{"year":2016,"cited_by_count":13},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
