{"id":"https://openalex.org/W2168839981","doi":"https://doi.org/10.1109/tsp.2010.2050201","title":"On Uncertainty Principle for the Linear Canonical Transform of Complex Signals","display_name":"On Uncertainty Principle for the Linear Canonical Transform of Complex Signals","publication_year":2010,"publication_date":"2010-05-26","ids":{"openalex":"https://openalex.org/W2168839981","doi":"https://doi.org/10.1109/tsp.2010.2050201","mag":"2168839981"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2010.2050201","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2010.2050201","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/A5101586851","display_name":"Guanlei Xu","orcid":"https://orcid.org/0000-0002-4389-3545"},"institutions":[{"id":"https://openalex.org/I4401200389","display_name":"Dalian Naval Academy","ror":"https://ror.org/014c1mf08","country_code":null,"type":"education","lineage":["https://openalex.org/I4401200389"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xu Guanlei","raw_affiliation_strings":["Department of Navigation, Dalian Naval Academy, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Navigation, Dalian Naval Academy, China","institution_ids":["https://openalex.org/I4401200389"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103286384","display_name":"Xiaotong Wang","orcid":"https://orcid.org/0000-0003-0834-7191"},"institutions":[{"id":"https://openalex.org/I4401200389","display_name":"Dalian Naval Academy","ror":"https://ror.org/014c1mf08","country_code":null,"type":"education","lineage":["https://openalex.org/I4401200389"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wang Xiaotong","raw_affiliation_strings":["Department of Automatization, Dalian Naval Academy, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automatization, Dalian Naval Academy, China","institution_ids":["https://openalex.org/I4401200389"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032067104","display_name":"Xiaogang Xu","orcid":"https://orcid.org/0000-0002-7928-7336"},"institutions":[{"id":"https://openalex.org/I4401200389","display_name":"Dalian Naval Academy","ror":"https://ror.org/014c1mf08","country_code":null,"type":"education","lineage":["https://openalex.org/I4401200389"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xu Xiaogang","raw_affiliation_strings":["Department of Navigation, Dalian Naval Academy, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Navigation, Dalian Naval Academy, China","institution_ids":["https://openalex.org/I4401200389"]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4401200389"],"apc_list":null,"apc_paid":null,"fwci":4.6244,"has_fulltext":false,"cited_by_count":58,"citation_normalized_percentile":{"value":0.95290962,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"58","issue":"9","first_page":"4916","last_page":"4918"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9980000257492065,"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":0.989799976348877,"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/uncertainty-principle","display_name":"Uncertainty principle","score":0.664402961730957},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5876556634902954},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.5387678146362305},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.5305398106575012},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.41639381647109985},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.41128867864608765},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41050979495048523},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33982914686203003},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33211326599121094},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2021389603614807},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.1653783917427063},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07875367999076843}],"concepts":[{"id":"https://openalex.org/C181543814","wikidata":"https://www.wikidata.org/wiki/Q44746","display_name":"Uncertainty principle","level":3,"score":0.664402961730957},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5876556634902954},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.5387678146362305},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.5305398106575012},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.41639381647109985},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.41128867864608765},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41050979495048523},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33982914686203003},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33211326599121094},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2021389603614807},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.1653783917427063},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07875367999076843},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2010.2050201","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2010.2050201","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W361539523","https://openalex.org/W606473257","https://openalex.org/W1933266820","https://openalex.org/W1947331283","https://openalex.org/W1976640663","https://openalex.org/W1977433593","https://openalex.org/W2010958057","https://openalex.org/W2015064056","https://openalex.org/W2044516693","https://openalex.org/W2072507395","https://openalex.org/W2083306584","https://openalex.org/W2100619198","https://openalex.org/W2104681574","https://openalex.org/W2113061967","https://openalex.org/W2123006872","https://openalex.org/W2125312525","https://openalex.org/W2129555100","https://openalex.org/W2132192698","https://openalex.org/W2139889035","https://openalex.org/W2899359508"],"related_works":["https://openalex.org/W4365999471","https://openalex.org/W2952716961","https://openalex.org/W4221149846","https://openalex.org/W2957445488","https://openalex.org/W4224872510","https://openalex.org/W2031010505","https://openalex.org/W3127277145","https://openalex.org/W2938524232","https://openalex.org/W2092405455","https://openalex.org/W4237684663"],"abstract_inverted_index":{"This":[0],"correspondence":[1],"derives":[2],"the":[3,8,25,33,36,39,48],"uncertainty":[4],"principle":[5],"bounds":[6,19],"for":[7],"linear":[9],"canonical":[10],"transform":[11],"(LCT)":[12],"of":[13,24,38],"a":[14],"complex":[15,40],"signal.":[16,41],"The":[17],"derived":[18],"are":[20,30],"sharper":[21],"than":[22],"that":[23],"published":[26],"papers":[27],"and":[28,35],"they":[29],"related":[31],"with":[32],"phase":[34],"amplitude":[37],"An":[42],"example":[43],"is":[44],"given":[45],"to":[46],"verify":[47],"result.":[49]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":12},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":4}],"updated_date":"2026-07-17T09:13:05.818461","created_date":"2025-10-10T00:00:00"}
