{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T20:45:05Z","timestamp":1773866705547,"version":"3.50.1"},"reference-count":34,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61901223"],"award-info":[{"award-number":["61901223"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004608","name":"Natural Science Foundation of Jiangsu Province","doi-asserted-by":"publisher","award":["BK20190769"],"award-info":[{"award-number":["BK20190769"]}],"id":[{"id":"10.13039\/501100004608","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100010242","name":"Jiangsu Planned Projects for Postdoctoral Research Funds","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100010242","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Natural Science Foundation of the Jiangsu Higher Education Institutions of China","award":["19KJB510041"],"award-info":[{"award-number":["19KJB510041"]}]},{"name":"Macau Young Scholars Program","award":["AM2020015"],"award-info":[{"award-number":["AM2020015"]}]},{"name":"Science and Technology Development Fund, Macau SAR","award":["0003\/2019\/A1"],"award-info":[{"award-number":["0003\/2019\/A1"]}]},{"name":"Science and Technology Development Fund, Macau SAR","award":["0110\/2020\/A3"],"award-info":[{"award-number":["0110\/2020\/A3"]}]},{"name":"Joint Research Funding Project launched"},{"DOI":"10.13039\/501100002855","name":"Ministry of Science and Technology of the People&#x0027;s Republic of China","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100002855","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Science and Technology Development Fund, Macau SAR","award":["0018\/2019\/AMJ"],"award-info":[{"award-number":["0018\/2019\/AMJ"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Signal Process. Lett."],"published-print":{"date-parts":[[2021]]},"DOI":"10.1109\/lsp.2021.3101114","type":"journal-article","created":{"date-parts":[[2021,7,30]],"date-time":"2021-07-30T20:04:14Z","timestamp":1627675454000},"page":"1665-1669","source":"Crossref","is-referenced-by-count":23,"title":["Sharper $N$-D Heisenberg's Uncertainty Principle"],"prefix":"10.1109","volume":"28","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3408-7947","authenticated-orcid":false,"given":"Zhichao","family":"Zhang","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1922-3787","authenticated-orcid":false,"given":"Xiya","family":"Shi","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2608-8499","authenticated-orcid":false,"given":"Anyang","family":"Wu","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3694-1852","authenticated-orcid":false,"given":"Dong","family":"Li","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2012.11.023"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4939-3028-9_4"},{"key":"ref31","author":"xu","year":"2013","journal-title":"Linear Canonical Transform and Its Applications"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2013.08.008"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1155\/2014\/470459"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1007\/s00009-017-1024-5"},{"key":"ref11","author":"osgood","year":"2014","journal-title":"Lecture Notes for EE 261 The Fourier Transform and Its Applications"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.15352\/afa\/06-3-20"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.12677\/AAM.2016.53053"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2019.07.008"},{"key":"ref15","author":"ozaktas","year":"2001","journal-title":"The Fractional Fourier Transform With Applications in Optics and Signal Processing"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/78.960402"},{"key":"ref17","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1016\/j.sigpro.2008.09.002","article-title":"The logarithmic, Heisenberg's and short-time uncertainty principles associated with fractional Fourier transform","volume":"89","author":"xu","year":"2009","journal-title":"Signal Process"},{"key":"ref18","doi-asserted-by":"crossref","first-page":"2692","DOI":"10.1016\/j.sigpro.2009.05.014","article-title":"Generalized entropic uncertainty principle on fractional Fourier transform","volume":"89","author":"xu","year":"2009","journal-title":"Signal Process"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1364\/JOSAA.12.000743"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2010.03.017"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1016\/0022-1236(89)90112-2"},{"key":"ref27","doi-asserted-by":"crossref","first-page":"4916","DOI":"10.1109\/TSP.2010.2050201","article-title":"On uncertainty principle for the linear canonical transform of complex signals","volume":"58","author":"xu","year":"2010","journal-title":"IEEE Trans Signal Process"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRev.122.1649"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2016.05.001"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2013.2273440"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1007\/BF02649110"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfa.2013.07.023"},{"key":"ref7","author":"cohen","year":"1995","journal-title":"Time-Frequency Analysis Theory and Applications"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1137\/0149053"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1007\/s00041-019-09686-w"},{"key":"ref1","first-page":"429","article-title":"Theory of communication","volume":"93","author":"gabor","year":"1946","journal-title":"J Inst Electr Eng"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1364\/OL.30.003302"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1364\/JOSAA.25.000647"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1364\/JOSAA.24.003658"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2009.2020039"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2008.917384"},{"key":"ref26","doi-asserted-by":"crossref","first-page":"392","DOI":"10.1049\/iet-spr.2008.0102","article-title":"Uncertainty inequalities for linear canonical transform","volume":"3","author":"xu","year":"2009","journal-title":"IET Signal Process"},{"key":"ref25","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1049\/iet-spr:20080019","article-title":"Three uncertainty relations for real signals associated with linear canonical transform","volume":"3","author":"xu","year":"2009","journal-title":"IET Signal Process"}],"container-title":["IEEE Signal Processing Letters"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/97\/9325893\/09502516.pdf?arnumber=9502516","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,10]],"date-time":"2022-05-10T14:50:37Z","timestamp":1652194237000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9502516\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"references-count":34,"URL":"https:\/\/doi.org\/10.1109\/lsp.2021.3101114","relation":{},"ISSN":["1070-9908","1558-2361"],"issn-type":[{"value":"1070-9908","type":"print"},{"value":"1558-2361","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021]]}}}