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Algorithms 2009, 2(3), 1221-1231; doi:10.3390/a2031221

Multiplication Symmetric Convolution Property for Discrete Trigonometric Transforms

*  and
Department of Electrical Engineering, University of Texas at Arlington, Box 19016 Arlington, TX 76019, USA
* Author to whom correspondence should be addressed.
Received: 25 June 2009 / Revised: 31 August 2009 / Accepted: 15 September 2009 / Published: 22 September 2009
(This article belongs to the Special Issue Data Compression)
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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.
Keywords: symmetric/asymmetric convolution; trigonometric transforms symmetric/asymmetric convolution; trigonometric transforms
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Kim, D.N.; Rao, K.R. Multiplication Symmetric Convolution Property for Discrete Trigonometric Transforms. Algorithms 2009, 2, 1221-1231.

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