{"id":"https://openalex.org/W2068338035","doi":"https://doi.org/10.1587/transinf.2014edl8077","title":"High-Order Bi-orthogonal Fourier Transform and Its Applications in Non-stability Signal Analysis","display_name":"High-Order Bi-orthogonal Fourier Transform and Its Applications in Non-stability Signal Analysis","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2068338035","doi":"https://doi.org/10.1587/transinf.2014edl8077","mag":"2068338035"},"language":"en","primary_location":{"id":"doi:10.1587/transinf.2014edl8077","is_oa":true,"landing_page_url":"https://doi.org/10.1587/transinf.2014edl8077","pdf_url":"https://www.jstage.jst.go.jp/article/transinf/E98.D/1/E98.D_2014EDL8077/_pdf","source":{"id":"https://openalex.org/S2486202937","display_name":"IEICE Transactions on Information and Systems","issn_l":"0916-8532","issn":["0916-8532","1745-1361"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Information and Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.jstage.jst.go.jp/article/transinf/E98.D/1/E98.D_2014EDL8077/_pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100369619","display_name":"Hong Wang","orcid":"https://orcid.org/0000-0002-9876-0176"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hong WANG","raw_affiliation_strings":["School of Electronic and Optical Engineering, Nanjing University of Science and Technology","[School of Electronic and Optical Engineering, Nanjing University of Science and Technology]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic and Optical Engineering, Nanjing University of Science and Technology","institution_ids":["https://openalex.org/I36399199"]},{"raw_affiliation_string":"[School of Electronic and Optical Engineering, Nanjing University of Science and Technology]","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100721626","display_name":"Yuehua Li","orcid":"https://orcid.org/0000-0002-3838-958X"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yue-hua LI","raw_affiliation_strings":["School of Electronic and Optical Engineering, Nanjing University of Science and Technology","[School of Electronic and Optical Engineering, Nanjing University of Science and Technology]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic and Optical Engineering, Nanjing University of Science and Technology","institution_ids":["https://openalex.org/I36399199"]},{"raw_affiliation_string":"[School of Electronic and Optical Engineering, Nanjing University of Science and Technology]","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"last","author":{"id":null,"display_name":"Ben-qing WANG","orcid":null},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ben-qing WANG","raw_affiliation_strings":["School of Electronic and Optical Engineering, Nanjing University of Science and Technology","[School of Electronic and Optical Engineering, Nanjing University of Science and Technology]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic and Optical Engineering, Nanjing University of Science and Technology","institution_ids":["https://openalex.org/I36399199"]},{"raw_affiliation_string":"[School of Electronic and Optical Engineering, Nanjing University of Science and Technology]","institution_ids":["https://openalex.org/I36399199"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I36399199"],"apc_list":null,"apc_paid":null,"fwci":0.4551,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.68560276,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"E98.D","issue":"1","first_page":"189","last_page":"192"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13885","display_name":"Geophysics and Sensor Technology","score":0.9747999906539917,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/T13885","display_name":"Geophysics and Sensor Technology","score":0.9747999906539917,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9724000096321106,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9595000147819519,"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/computer-science","display_name":"Computer science","score":0.6979283094406128},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.6546974778175354},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6323451399803162},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.6185324788093567},{"id":"https://openalex.org/keywords/discrete-fourier-transform","display_name":"Discrete Fourier transform (general)","score":0.5819154977798462},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5680774450302124},{"id":"https://openalex.org/keywords/short-time-fourier-transform","display_name":"Short-time Fourier transform","score":0.48058319091796875},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.47477981448173523},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.4511321485042572},{"id":"https://openalex.org/keywords/non-uniform-discrete-fourier-transform","display_name":"Non-uniform discrete Fourier transform","score":0.4391210675239563},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.427661657333374},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22521185874938965},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16878053545951843},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.16418203711509705},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.0714210569858551}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6979283094406128},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.6546974778175354},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6323451399803162},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.6185324788093567},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.5819154977798462},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5680774450302124},{"id":"https://openalex.org/C166386157","wikidata":"https://www.wikidata.org/wiki/Q1477735","display_name":"Short-time Fourier transform","level":4,"score":0.48058319091796875},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.47477981448173523},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.4511321485042572},{"id":"https://openalex.org/C62058723","wikidata":"https://www.wikidata.org/wiki/Q7049066","display_name":"Non-uniform discrete Fourier transform","level":5,"score":0.4391210675239563},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.427661657333374},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22521185874938965},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16878053545951843},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.16418203711509705},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0714210569858551},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1587/transinf.2014edl8077","is_oa":true,"landing_page_url":"https://doi.org/10.1587/transinf.2014edl8077","pdf_url":"https://www.jstage.jst.go.jp/article/transinf/E98.D/1/E98.D_2014EDL8077/_pdf","source":{"id":"https://openalex.org/S2486202937","display_name":"IEICE Transactions on Information and Systems","issn_l":"0916-8532","issn":["0916-8532","1745-1361"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Information and Systems","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1587/transinf.2014edl8077","is_oa":true,"landing_page_url":"https://doi.org/10.1587/transinf.2014edl8077","pdf_url":"https://www.jstage.jst.go.jp/article/transinf/E98.D/1/E98.D_2014EDL8077/_pdf","source":{"id":"https://openalex.org/S2486202937","display_name":"IEICE Transactions on Information and Systems","issn_l":"0916-8532","issn":["0916-8532","1745-1361"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Information and Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4379365266","display_name":"\u6c34\u6c61\u67d3\u7684\u6beb\u7c73\u6ce2\u8f90\u5c04\u76d1\u63a7\u7406\u8bba\u4e0e\u5173\u952e\u6280\u672f\u7814\u7a76","funder_award_id":"61371038","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2068338035.pdf","grobid_xml":"https://content.openalex.org/works/W2068338035.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W2057085895","https://openalex.org/W2105672294","https://openalex.org/W2109930949","https://openalex.org/W2121187169","https://openalex.org/W2145576488","https://openalex.org/W2162346714","https://openalex.org/W2364305709","https://openalex.org/W2973818247"],"related_works":["https://openalex.org/W2118155316","https://openalex.org/W3141389362","https://openalex.org/W2382218334","https://openalex.org/W2116983948","https://openalex.org/W2090697566","https://openalex.org/W2065632335","https://openalex.org/W2057875231","https://openalex.org/W2183889480","https://openalex.org/W2343504300","https://openalex.org/W2154898175"],"abstract_inverted_index":{"This":[0,41],"paper":[1,42],"presents":[2],"a":[3],"novel":[4],"signal":[5],"analysis":[6,78],"algorithm,":[7],"named":[8],"High-order":[9],"Bi-orthogonal":[10],"Fourier":[11,22],"Transform":[12],"(HBFT),":[13],"which":[14],"can":[15],"be":[16],"seen":[17],"as":[18],"an":[19],"expansion":[20],"of":[21,34,79],"transform.":[23],"The":[24,70],"HBFT":[25,29,45,74],"formula":[26,30],"and":[27,61,65],"discrete":[28],"are":[31,38],"derived,":[32],"some":[33],"their":[35],"main":[36],"characteristics":[37],"briefly":[39],"discusses.":[40],"also":[43],"uses":[44],"to":[46],"analyze":[47,56],"the":[48,52,57,63,80],"multi-LFM":[49],"signals,":[50,60],"obtain":[51,62],"modulate":[53],"rate":[54],"parameters,":[55],"high":[58],"dynamic":[59],"accelerated":[64,67],"varying":[66],"motion":[68],"parameters.":[69],"result":[71],"proves":[72],"that":[73],"is":[75],"suitable":[76],"for":[77],"non-stability":[81],"signals":[82],"with":[83],"high-order":[84],"components.":[85]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
