{"id":"https://openalex.org/W2588811310","doi":"https://doi.org/10.1109/cisp-bmei.2016.7852835","title":"Two-dimensional analytic signal construction","display_name":"Two-dimensional analytic signal construction","publication_year":2016,"publication_date":"2016-10-01","ids":{"openalex":"https://openalex.org/W2588811310","doi":"https://doi.org/10.1109/cisp-bmei.2016.7852835","mag":"2588811310"},"language":"en","primary_location":{"id":"doi:10.1109/cisp-bmei.2016.7852835","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cisp-bmei.2016.7852835","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 9th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics (CISP-BMEI)","raw_type":"proceedings-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/A5080227289","display_name":"Guangtao Ge","orcid":"https://orcid.org/0000-0002-5551-889X"},"institutions":[{"id":"https://openalex.org/I75059550","display_name":"Zhejiang Gongshang University","ror":"https://ror.org/0569mkk41","country_code":"CN","type":"education","lineage":["https://openalex.org/I75059550"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Guangtao Ge","raw_affiliation_strings":["School of Information and Electronic Engineering, Zhejiang Gongshang University, Hangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Electronic Engineering, Zhejiang Gongshang University, Hangzhou, China","institution_ids":["https://openalex.org/I75059550"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110547141","display_name":"Yichao Lou","orcid":null},"institutions":[{"id":"https://openalex.org/I75059550","display_name":"Zhejiang Gongshang University","ror":"https://ror.org/0569mkk41","country_code":"CN","type":"education","lineage":["https://openalex.org/I75059550"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yichao Lou","raw_affiliation_strings":["School of Information and Electronic Engineering, Zhejiang Gongshang University, Hangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Electronic Engineering, Zhejiang Gongshang University, Hangzhou, China","institution_ids":["https://openalex.org/I75059550"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108248015","display_name":"Xiuping Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I75059550","display_name":"Zhejiang Gongshang University","ror":"https://ror.org/0569mkk41","country_code":"CN","type":"education","lineage":["https://openalex.org/I75059550"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiuping Wang","raw_affiliation_strings":["School of Information and Electronic Engineering, Zhejiang Gongshang University, Hangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Electronic Engineering, Zhejiang Gongshang University, Hangzhou, China","institution_ids":["https://openalex.org/I75059550"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101452676","display_name":"Lei Xue","orcid":"https://orcid.org/0000-0002-7684-8978"},"institutions":[{"id":"https://openalex.org/I147230869","display_name":"China Shipbuilding Industry Corporation (China)","ror":"https://ror.org/0410k9915","country_code":"CN","type":"company","lineage":["https://openalex.org/I147230869"]},{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Xue","raw_affiliation_strings":["Faculty of Management and Economics, Dalian University of Technology, Dalian, China","Procurement Division, Dalian Shipbuilding Industry CO.,Ltd., Dalian, China"],"affiliations":[{"raw_affiliation_string":"Faculty of Management and Economics, Dalian University of Technology, Dalian, China","institution_ids":["https://openalex.org/I27357992"]},{"raw_affiliation_string":"Procurement Division, Dalian Shipbuilding Industry CO.,Ltd., Dalian, China","institution_ids":["https://openalex.org/I147230869"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080934793","display_name":"Dashuang Dai","orcid":"https://orcid.org/0000-0001-6177-2977"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dashuang Dai","raw_affiliation_strings":["Faculty of Management and Economics, Dalian University of Technology, Dalian, China"],"affiliations":[{"raw_affiliation_string":"Faculty of Management and Economics, Dalian University of Technology, Dalian, China","institution_ids":["https://openalex.org/I27357992"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5080227289"],"corresponding_institution_ids":["https://openalex.org/I75059550"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.20526055,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"93","issue":null,"first_page":"883","last_page":"887"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9961000084877014,"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/T10220","display_name":"Machine Fault Diagnosis Techniques","score":0.9926000237464905,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/analytic-signal","display_name":"Analytic signal","score":0.8456007242202759},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.7116373777389526},{"id":"https://openalex.org/keywords/guideline","display_name":"Guideline","score":0.5746700763702393},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5649555921554565},{"id":"https://openalex.org/keywords/analytic-function","display_name":"Analytic function","score":0.5518301129341125},{"id":"https://openalex.org/keywords/analytic-element-method","display_name":"Analytic element method","score":0.5410977005958557},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.4973180592060089},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46334418654441833},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4619389772415161},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.38940322399139404},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.38515037298202515},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.338482528924942},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.33681532740592957},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2726987302303314},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2293151617050171},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.09399929642677307},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08239594101905823},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07209879159927368}],"concepts":[{"id":"https://openalex.org/C94727143","wikidata":"https://www.wikidata.org/wiki/Q485394","display_name":"Analytic signal","level":4,"score":0.8456007242202759},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.7116373777389526},{"id":"https://openalex.org/C2780182762","wikidata":"https://www.wikidata.org/wiki/Q1630279","display_name":"Guideline","level":2,"score":0.5746700763702393},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5649555921554565},{"id":"https://openalex.org/C205979905","wikidata":"https://www.wikidata.org/wiki/Q215084","display_name":"Analytic function","level":2,"score":0.5518301129341125},{"id":"https://openalex.org/C192885726","wikidata":"https://www.wikidata.org/wiki/Q4751128","display_name":"Analytic element method","level":3,"score":0.5410977005958557},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4973180592060089},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46334418654441833},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4619389772415161},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.38940322399139404},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.38515037298202515},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.338482528924942},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33681532740592957},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2726987302303314},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2293151617050171},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.09399929642677307},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08239594101905823},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07209879159927368},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cisp-bmei.2016.7852835","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cisp-bmei.2016.7852835","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 9th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics (CISP-BMEI)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W163612977","https://openalex.org/W1480898925","https://openalex.org/W1485781512","https://openalex.org/W1492380776","https://openalex.org/W1520309894","https://openalex.org/W1527762405","https://openalex.org/W1553200558","https://openalex.org/W1599803069","https://openalex.org/W1976212684","https://openalex.org/W1979362696","https://openalex.org/W1986354781","https://openalex.org/W1986831525","https://openalex.org/W1988281247","https://openalex.org/W2003676963","https://openalex.org/W2004457624","https://openalex.org/W2007221293","https://openalex.org/W2021877856","https://openalex.org/W2030265202","https://openalex.org/W2034935457","https://openalex.org/W2040353450","https://openalex.org/W2041398628","https://openalex.org/W2043860979","https://openalex.org/W2059029854","https://openalex.org/W2077896037","https://openalex.org/W2090638170","https://openalex.org/W2098395403","https://openalex.org/W2106665847","https://openalex.org/W2113193347","https://openalex.org/W2113380531","https://openalex.org/W2118236573","https://openalex.org/W2119589101","https://openalex.org/W2123325761","https://openalex.org/W2128672663","https://openalex.org/W2132012332","https://openalex.org/W2150072852","https://openalex.org/W2357953869","https://openalex.org/W2368198532","https://openalex.org/W2477290498","https://openalex.org/W2917583897","https://openalex.org/W2968437203","https://openalex.org/W2973818247","https://openalex.org/W3175575010","https://openalex.org/W6629490900","https://openalex.org/W6631132969","https://openalex.org/W6631685746","https://openalex.org/W6682747227","https://openalex.org/W6721090772","https://openalex.org/W6797874872","https://openalex.org/W7054475812"],"related_works":["https://openalex.org/W2994244880","https://openalex.org/W2418694588","https://openalex.org/W3029173362","https://openalex.org/W2044944146","https://openalex.org/W2387502953","https://openalex.org/W2327828669","https://openalex.org/W1970057252","https://openalex.org/W3023725658","https://openalex.org/W2034638170","https://openalex.org/W2269543236"],"abstract_inverted_index":{"This":[0,110],"paper":[1],"provides":[2],"a":[3,24,36,69,101],"brief":[4],"overview":[5],"of":[6,18,26],"the":[7,16,32,76,80,91,96,117],"approaches":[8],"for":[9,20,39],"two-dimensional":[10,40,63],"analytic":[11,22,41,56,59,64,106],"signal":[12,60,107],"construction.":[13],"According":[14],"to":[15,34,84],"basis":[17],"definition":[19,38,103,112],"one-dimensional":[21],"signal,":[23,57,65],"set":[25],"desirable":[27],"properties":[28,78,115],"is":[29,68,88,108],"determined":[30],"as":[31,54],"guideline":[33],"measure":[35],"new":[37],"signal.":[42],"To":[43],"appreciate":[44],"this":[45,86],"guideline,":[46],"several":[47],"important":[48],"definitions":[49,73],"are":[50],"brought":[51],"out,":[52],"such":[53],"total":[55],"partial":[58],"and":[61],"Hahn's":[62],"etc.":[66],"It":[67],"pity":[70],"that":[71],"these":[72],"cannot":[74],"satisfy":[75],"main":[77],"in":[79,116],"guideline.":[81,118],"A":[82],"chance":[83],"solve":[85],"problem":[87],"provided":[89],"by":[90],"quaternion":[92],"theory.":[93],"Based":[94],"on":[95],"Quaternionic":[97],"Fourier":[98],"Transform":[99],"(QFT),":[100],"novel":[102,111],"called":[104],"quaternionic":[105],"introduced.":[109],"fulfills":[113],"most":[114]},"counts_by_year":[{"year":2023,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}