{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,12]],"date-time":"2026-06-12T08:14:36Z","timestamp":1781252076835,"version":"3.54.1"},"reference-count":19,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100010740","name":"Hasanuddin University","doi-asserted-by":"crossref","award":["110\/UN4-.42\/LK.26\/SP-UH\/2013"],"award-info":[{"award-number":["110\/UN4-.42\/LK.26\/SP-UH\/2013"]}],"id":[{"id":"10.13039\/501100010740","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>We present the two-dimensional quaternion Wigner-Ville distribution (QWVD). The transform is constructed by substituting the Fourier transform kernel with the quaternion Fourier transform (QFT) kernel in the classical Wigner-Ville distribution definition. Based on the properties of quaternions and the QFT kernel we obtain three types of the QWVD. We discuss some useful properties of various definitions for the QWVD, which are extensions of the classical Wigner-Ville distribution properties.<\/jats:p>","DOI":"10.1155\/2014\/139471","type":"journal-article","created":{"date-parts":[[2014,1,22]],"date-time":"2014-01-22T06:50:29Z","timestamp":1390373429000},"page":"1-13","source":"Crossref","is-referenced-by-count":27,"title":["On Two-Dimensional Quaternion Wigner-Ville Distribution"],"prefix":"10.1155","volume":"2014","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1628-9163","authenticated-orcid":true,"given":"Mawardi","family":"Bahri","sequence":"first","affiliation":[{"name":"Department of Mathematics, Hasanuddin University, Makassar 90245, Indonesia"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","reference":[{"key":"5","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0097-0"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1080\/10652460903069231"},{"key":"10","year":"2001"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1155\/2012\/740161"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-04621-0_8"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1007\/s00006-007-0037-8"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2008.05.032"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1155\/2013\/162769"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-0603-9_5"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-0603-9_6"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1007\/s11760-012-0315-3"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1007\/s00006-012-0324-x"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1002\/mma.2642"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1155\/2013\/725952"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-0603-9_14"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2010.03.082"},{"issue":"1","key":"18","first-page":"35","volume":"42","year":"2010","journal-title":"Far East Journal of Applied Mathematics"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2006.884955"},{"issue":"1","key":"20","first-page":"123","volume":"80","year":"2013","journal-title":"Far East Journal of Mathematical Sciences"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/139471.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/139471.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/139471.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,11]],"date-time":"2020-05-11T18:47:13Z","timestamp":1589222833000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/139471\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":19,"alternative-id":["139471","139471"],"URL":"https:\/\/doi.org\/10.1155\/2014\/139471","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014]]}}}