{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T22:42:13Z","timestamp":1760222533069,"version":"build-2065373602"},"reference-count":13,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2009,9,22]],"date-time":"2009-09-22T00:00:00Z","timestamp":1253577600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Algorithms"],"abstract":"<jats:p>The symmetric-convolution multiplication (SCM) property of discrete trigonometric transforms (DTTs) based on unitary transform matrices is developed. Then as the reciprocity of this property, the novel multiplication symmetric-convolution (MSC) property of discrete trigonometric transforms, is developed.<\/jats:p>","DOI":"10.3390\/a2031221","type":"journal-article","created":{"date-parts":[[2009,9,22]],"date-time":"2009-09-22T12:10:08Z","timestamp":1253621408000},"page":"1221-1231","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Multiplication Symmetric Convolution Property for Discrete Trigonometric Transforms"],"prefix":"10.3390","volume":"2","author":[{"given":"Do Nyeon","family":"Kim","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering, University of Texas at Arlington, Box 19016 Arlington, TX 76019, USA"}]},{"given":"K. 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