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

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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Abstract

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 3.0).

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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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