{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,15]],"date-time":"2026-05-15T15:49:39Z","timestamp":1778860179320,"version":"3.51.4"},"reference-count":12,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"1","license":[{"start":{"date-parts":[[2011,1,1]],"date-time":"2011-01-01T00:00:00Z","timestamp":1293840000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Signal Process. Lett."],"published-print":{"date-parts":[[2011,1]]},"DOI":"10.1109\/lsp.2010.2091126","type":"journal-article","created":{"date-parts":[[2010,11,17]],"date-time":"2010-11-17T21:14:57Z","timestamp":1290028497000},"page":"47-50","source":"Crossref","is-referenced-by-count":179,"title":["A Quaternion Gradient Operator and Its Applications"],"prefix":"10.1109","volume":"18","author":[{"given":"D. P.","family":"Mandic","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"C.","family":"Jahanchahi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"C. Cheong","family":"Took","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2004.04.001"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/TBME.2006.875664"},{"key":"ref10","first-page":"1","author":"kreutz-delgado","year":"2006","journal-title":"The complex gradient operator and the -calculus"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2048440"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2006.10.029"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2010.06.024"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2010.2048323"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1016\/j.aim.2008.03.021"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004100055638"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0047683"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1049\/ip-h-1.1983.0004"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2008.2010600"}],"container-title":["IEEE Signal Processing Letters"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/97\/5640365\/05623300.pdf?arnumber=5623300","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,10,10]],"date-time":"2021-10-10T23:47:46Z","timestamp":1633909666000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/5623300\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,1]]},"references-count":12,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.1109\/lsp.2010.2091126","relation":{},"ISSN":["1070-9908","1558-2361"],"issn-type":[{"value":"1070-9908","type":"print"},{"value":"1558-2361","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,1]]}}}