{"id":"https://openalex.org/W1992677087","doi":"https://doi.org/10.1007/s11760-012-0342-0","title":"Convolution, correlation, and sampling theorems for the offset linear canonical transform","display_name":"Convolution, correlation, and sampling theorems for the offset linear canonical transform","publication_year":2012,"publication_date":"2012-06-11","ids":{"openalex":"https://openalex.org/W1992677087","doi":"https://doi.org/10.1007/s11760-012-0342-0","mag":"1992677087"},"language":"en","primary_location":{"id":"doi:10.1007/s11760-012-0342-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11760-012-0342-0","pdf_url":null,"source":{"id":"https://openalex.org/S156904493","display_name":"Signal Image and Video Processing","issn_l":"1863-1703","issn":["1863-1703","1863-1711"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Signal, Image and Video 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/A5110563835","display_name":"Qiang Xiang","orcid":null},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]},{"id":"https://openalex.org/I6645349","display_name":"Southwest Minzu University","ror":"https://ror.org/04gaexw88","country_code":"CN","type":"education","lineage":["https://openalex.org/I6645349"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qiang Xiang","raw_affiliation_strings":["College of Automation, University of Electronic Science and Technology of China, Chengdu, 610054, People\u2019s Republic of China","College of Electrical and Information, Southwest University for Nationalities, Chengdu, 610041, People\u2019s Republic of China","University of Electronic Science and Technology of China","Southwest University for Nationalities"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Automation, University of Electronic Science and Technology of China, Chengdu, 610054, People\u2019s Republic of China","institution_ids":["https://openalex.org/I150229711"]},{"raw_affiliation_string":"College of Electrical and Information, Southwest University for Nationalities, Chengdu, 610041, People\u2019s Republic of China","institution_ids":["https://openalex.org/I6645349"]},{"raw_affiliation_string":"University of Electronic Science and Technology of China","institution_ids":["https://openalex.org/I150229711"]},{"raw_affiliation_string":"Southwest University for Nationalities","institution_ids":["https://openalex.org/I6645349"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075449178","display_name":"Kaiyu Qin","orcid":"https://orcid.org/0000-0002-0812-7095"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]},{"id":"https://openalex.org/I46020346","display_name":"American Institute of Aeronautics and Astronautics","ror":"https://ror.org/00a1rzv11","country_code":"US","type":"other","lineage":["https://openalex.org/I46020346"]},{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"KaiYu Qin","raw_affiliation_strings":["Institute of Astronautics and Aeronautics, University of Electronic Science and Technology of China, Chengdu, 610054, People\u2019s Republic of China","Univ. of Electronic Sci. and Tech. of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Astronautics and Aeronautics, University of Electronic Science and Technology of China, Chengdu, 610054, People\u2019s Republic of China","institution_ids":["https://openalex.org/I46020346","https://openalex.org/I9842412"]},{"raw_affiliation_string":"Univ. of Electronic Sci. and Tech. of China","institution_ids":["https://openalex.org/I150229711"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5110563835"],"corresponding_institution_ids":["https://openalex.org/I150229711","https://openalex.org/I6645349"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.6819,"has_fulltext":false,"cited_by_count":85,"citation_normalized_percentile":{"value":0.924544,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"8","issue":"3","first_page":"433","last_page":"442"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9977999925613403,"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":0.992900013923645,"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/convolution-theorem","display_name":"Convolution theorem","score":0.7619049549102783},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.7332463264465332},{"id":"https://openalex.org/keywords/overlap\u2013add-method","display_name":"Overlap\u2013add method","score":0.711000919342041},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6335636973381042},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.5813907980918884},{"id":"https://openalex.org/keywords/offset","display_name":"Offset (computer science)","score":0.5247240662574768},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.5113987326622009},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.500455379486084},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.4670124650001526},{"id":"https://openalex.org/keywords/circular-convolution","display_name":"Circular convolution","score":0.4652916193008423},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.4597689211368561},{"id":"https://openalex.org/keywords/linear-filter","display_name":"Linear filter","score":0.4440298080444336},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.4404311776161194},{"id":"https://openalex.org/keywords/discrete-time-fourier-transform","display_name":"Discrete-time Fourier transform","score":0.43673887848854065},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2637062072753906},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.25911301374435425},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25412970781326294},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.21684721112251282},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.16507470607757568},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10421109199523926}],"concepts":[{"id":"https://openalex.org/C79587385","wikidata":"https://www.wikidata.org/wiki/Q2638931","display_name":"Convolution theorem","level":5,"score":0.7619049549102783},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.7332463264465332},{"id":"https://openalex.org/C181002996","wikidata":"https://www.wikidata.org/wiki/Q1611641","display_name":"Overlap\u2013add method","level":5,"score":0.711000919342041},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6335636973381042},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.5813907980918884},{"id":"https://openalex.org/C175291020","wikidata":"https://www.wikidata.org/wiki/Q1156822","display_name":"Offset (computer science)","level":2,"score":0.5247240662574768},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.5113987326622009},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.500455379486084},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.4670124650001526},{"id":"https://openalex.org/C194980680","wikidata":"https://www.wikidata.org/wiki/Q245450","display_name":"Circular convolution","level":5,"score":0.4652916193008423},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.4597689211368561},{"id":"https://openalex.org/C139722471","wikidata":"https://www.wikidata.org/wiki/Q2619517","display_name":"Linear filter","level":3,"score":0.4440298080444336},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.4404311776161194},{"id":"https://openalex.org/C122444316","wikidata":"https://www.wikidata.org/wiki/Q1440048","display_name":"Discrete-time Fourier transform","level":5,"score":0.43673887848854065},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2637062072753906},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.25911301374435425},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25412970781326294},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.21684721112251282},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.16507470607757568},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10421109199523926},{"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/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11760-012-0342-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11760-012-0342-0","pdf_url":null,"source":{"id":"https://openalex.org/S156904493","display_name":"Signal Image and Video Processing","issn_l":"1863-1703","issn":["1863-1703","1863-1711"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Signal, Image and Video Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W606473257","https://openalex.org/W1481518529","https://openalex.org/W1965936301","https://openalex.org/W1976640663","https://openalex.org/W1977433593","https://openalex.org/W2018654957","https://openalex.org/W2020165608","https://openalex.org/W2032168658","https://openalex.org/W2035859245","https://openalex.org/W2044516693","https://openalex.org/W2053452911","https://openalex.org/W2059551206","https://openalex.org/W2062131190","https://openalex.org/W2101972378","https://openalex.org/W2110063971","https://openalex.org/W2111121062","https://openalex.org/W2123006872","https://openalex.org/W2162504972","https://openalex.org/W2165422924","https://openalex.org/W2165555254","https://openalex.org/W2170411504"],"related_works":["https://openalex.org/W2232752250","https://openalex.org/W2133436097","https://openalex.org/W2171853844","https://openalex.org/W2099774227","https://openalex.org/W4386106541","https://openalex.org/W2162504972","https://openalex.org/W2170755202","https://openalex.org/W2888715284","https://openalex.org/W2302154044","https://openalex.org/W2033499985"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
