{"id":"https://openalex.org/W2136830512","doi":"https://doi.org/10.4304/jcp.7.6.1482-1489","title":"Signal Denoise Method Based on Fractal Dimension,the Higher Order Statistics and Local Tangent Space Arrangement","display_name":"Signal Denoise Method Based on Fractal Dimension,the Higher Order Statistics and Local Tangent Space Arrangement","publication_year":2012,"publication_date":"2012-05-10","ids":{"openalex":"https://openalex.org/W2136830512","doi":"https://doi.org/10.4304/jcp.7.6.1482-1489","mag":"2136830512"},"language":"en","primary_location":{"id":"doi:10.4304/jcp.7.6.1482-1489","is_oa":false,"landing_page_url":"https://doi.org/10.4304/jcp.7.6.1482-1489","pdf_url":null,"source":{"id":"https://openalex.org/S77894049","display_name":"Journal of Computers","issn_l":"1796-203X","issn":["1796-203X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318660","host_organization_name":"Academy Publisher","host_organization_lineage":["https://openalex.org/P4310318660"],"host_organization_lineage_names":["Academy Publisher"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computers","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/A5101515549","display_name":"Guangbin Wang","orcid":"https://orcid.org/0000-0002-1531-3275"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Guangbin Wang","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029473790","display_name":"Xuejun Li","orcid":"https://orcid.org/0000-0001-6630-2958"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xuejun Li","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5101034722","display_name":"Xianqiong Zhao","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xianqiong Zhao","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101515549"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15331448,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"7","issue":"6","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9836000204086304,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9836000204086304,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.980400025844574,"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/T12205","display_name":"Time Series Analysis and Forecasting","score":0.9776999950408936,"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/fractal-dimension","display_name":"Fractal dimension","score":0.6959399580955505},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.6242706775665283},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.6179850697517395},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5412279367446899},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5224003791809082},{"id":"https://openalex.org/keywords/box-counting","display_name":"Box counting","score":0.4931575655937195},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4821029007434845},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.47975954413414},{"id":"https://openalex.org/keywords/fractal-analysis","display_name":"Fractal analysis","score":0.4220488667488098},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4187890589237213},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38775962591171265},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3624553680419922},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3308599889278412},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2770603895187378},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2719811201095581},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2019081711769104},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.08105114102363586}],"concepts":[{"id":"https://openalex.org/C26546657","wikidata":"https://www.wikidata.org/wiki/Q1412452","display_name":"Fractal dimension","level":3,"score":0.6959399580955505},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.6242706775665283},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.6179850697517395},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5412279367446899},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5224003791809082},{"id":"https://openalex.org/C99008458","wikidata":"https://www.wikidata.org/wiki/Q4951583","display_name":"Box counting","level":5,"score":0.4931575655937195},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4821029007434845},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.47975954413414},{"id":"https://openalex.org/C162494671","wikidata":"https://www.wikidata.org/wiki/Q2845227","display_name":"Fractal analysis","level":4,"score":0.4220488667488098},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4187890589237213},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38775962591171265},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3624553680419922},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3308599889278412},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2770603895187378},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2719811201095581},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2019081711769104},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08105114102363586},{"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.4304/jcp.7.6.1482-1489","is_oa":false,"landing_page_url":"https://doi.org/10.4304/jcp.7.6.1482-1489","pdf_url":null,"source":{"id":"https://openalex.org/S77894049","display_name":"Journal of Computers","issn_l":"1796-203X","issn":["1796-203X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318660","host_organization_name":"Academy Publisher","host_organization_lineage":["https://openalex.org/P4310318660"],"host_organization_lineage_names":["Academy Publisher"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computers","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.908.2550","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.908.2550","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ojs.academypublisher.com/index.php/jcp/article/download/jcp070614821489/4871/","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1540288699","https://openalex.org/W1972330585","https://openalex.org/W2000273059","https://openalex.org/W2001141328","https://openalex.org/W2004406940","https://openalex.org/W2009838184","https://openalex.org/W2060140588","https://openalex.org/W2074657679","https://openalex.org/W2077776048","https://openalex.org/W2097308346","https://openalex.org/W2141394518"],"related_works":["https://openalex.org/W3095001701","https://openalex.org/W4312128086","https://openalex.org/W2005939750","https://openalex.org/W2804635689","https://openalex.org/W4312776762","https://openalex.org/W2371203286","https://openalex.org/W4296962583","https://openalex.org/W2044531707","https://openalex.org/W2606954585","https://openalex.org/W2003790600"],"abstract_inverted_index":{"Abstract":[0],"\u2014":[1],"In":[2],"denoise":[3,38,46,155,168],"method":[4,22,47,148],"for":[5],"nonlinear":[6],"time":[7],"series":[8],"based":[9,48,50,129],"on":[10,49,51,130,139],"principle":[11],"manifold":[12],"learning,":[13],"reduction":[14,73,137],"targets":[15,74],"are":[16],"chosen":[17],"at":[18],"random,":[19],"using":[20],"linear":[21],"of":[23,37,72,100,106,119],"singular":[24],"value":[25],"decomposition":[26],"solving":[27],"local":[28,59,164],"tangent":[29,60,125,165],"space":[30,61,84,126,166],"coordinate,":[31],"these":[32],"caused":[33],"efficiency":[34],"and":[35,58,142],"effect":[36],"lower.":[39],"To":[40],"solve":[41],"this":[42,151],"problem,":[43],"a":[44],"new":[45],"the":[52,79,95,114,160],"fractal":[53,76],"dimension,":[54],"higher":[55,161],"order":[56,162],"statistics":[57],"arrangement":[62],"is":[63,68,111,133],"proposed.":[64,135],"The":[65],"intrinsic":[66,82],"dimension":[67,71,83],"estimated":[69],"as":[70,88],"by":[75],"geometry":[77],"method,":[78],"data":[80],"outside":[81],"will":[85],"be":[86,92],"regarded":[87],"noise":[89,105],"signal":[90,141,145],"to":[91,103],"eliminated.":[93],"At":[94],"same":[96],"time,":[97],"making":[98],"use":[99],"restraining":[101],"characteristic":[102],"colored":[104],"high-order":[107],"cumulan,":[108],"covariance":[109,123],"matrix":[110],"constructed":[112],"with":[113],"fourth-order":[115,131],"cumulant":[116],"function":[117,122],"instead":[118],"second-order":[120],"moment":[121],"matrix,local":[124],"alignment":[127],"algorithm":[128],"cumulan":[132],"also":[134],"Noise":[136],"experiments":[138],"lorenz":[140],"fan\u2019s":[143],"vibrating":[144],"show":[146],"that":[147],"proposed":[149],"in":[150],"paper":[152],"has":[153],"better":[154],"effect.":[156],"Index":[157],"Terms\u2014fractal":[158],"dimension;":[159],"statostics;":[163],"arrangement;":[167],"I.":[169]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}