{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,11]],"date-time":"2026-07-11T16:50:36Z","timestamp":1783788636789,"version":"3.55.0"},"reference-count":26,"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":[{"name":"Ministry of Education Taiwan","award":["NTU-108V0902"],"award-info":[{"award-number":["NTU-108V0902"]}]},{"name":"Ministry of Education Taiwan","award":["NTU-109V0902"],"award-info":[{"award-number":["NTU-109V0902"]}]},{"name":"Ministry of Education Taiwan","award":["NTU-110V0902"],"award-info":[{"award-number":["NTU-110V0902"]}]},{"DOI":"10.13039\/501100004663","name":"Ministry of Science and Technology Taiwan","doi-asserted-by":"publisher","award":["108-2218-E-002-043-MY2"],"award-info":[{"award-number":["108-2218-E-002-043-MY2"]}],"id":[{"id":"10.13039\/501100004663","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Signal Process. Lett."],"published-print":{"date-parts":[[2021]]},"DOI":"10.1109\/lsp.2021.3116522","type":"journal-article","created":{"date-parts":[[2021,9,29]],"date-time":"2021-09-29T21:07:31Z","timestamp":1632949651000},"page":"2013-2017","source":"Crossref","is-referenced-by-count":3,"title":["On the Size and Redundancy of the Fourth-Order Difference Co-Array"],"prefix":"10.1109","volume":"28","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0850-5009","authenticated-orcid":false,"given":"Yuan-Pon","family":"Chen","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3135-9684","authenticated-orcid":false,"given":"Chun-Lin","family":"Liu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.2016.7472226"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2019.2914887"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/RADAR.2017.7944349"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP40776.2020.9053518"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2016.2539324"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2017.2664500"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/RADAR.2018.8557325"},{"key":"ref17","first-page":"1","article-title":"Extended cantor arrays with hole-free fourth-order difference co-arrays","author":"yang","year":"2021","journal-title":"Proc IEEE Int Symp Circuits Syst"},{"key":"ref18","first-page":"385","article-title":"On the representation of 1, 2,..., n by differences","volume":"24(66)","author":"r\u00e9dei","year":"1949","journal-title":"Recueil Mathématique"},{"key":"ref19","first-page":"379","article-title":"On the representation of 1, 2,..., n by differences","volume":"10","author":"erd\u00f5s","year":"1948","journal-title":"Indagationes Mathematicae"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/79.526899"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/5.622504"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/TAP.1968.1139138"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/JPROC.2011.2131110"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2010.2089682"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2010.2049264"},{"key":"ref2","doi-asserted-by":"crossref","DOI":"10.1002\/0471221104","author":"trees","year":"2002","journal-title":"Detection Estimation and Modulation TheoryPart IV Optimum Array Processing"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2011.2178410"},{"key":"ref1","author":"tuncer","year":"2009","journal-title":"Classical and Modern Direction-of-Arrival Estimation"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1112\/jlms\/s1-31.2.160"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/SAM.2018.8448465"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/18.212309"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2005.843703"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2006.877661"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/ACSSC.2018.8645482"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/PROC.1977.10517"}],"container-title":["IEEE Signal Processing Letters"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/97\/9325893\/09552549.pdf?arnumber=9552549","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,9]],"date-time":"2023-11-09T18:13:24Z","timestamp":1699553604000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9552549\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"references-count":26,"URL":"https:\/\/doi.org\/10.1109\/lsp.2021.3116522","relation":{},"ISSN":["1070-9908","1558-2361"],"issn-type":[{"value":"1070-9908","type":"print"},{"value":"1558-2361","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021]]}}}