Multiplication Symmetric Convolution Property for Discrete Trigonometric Transforms

doi:10.3390/a2031221

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

Article

Multiplication Symmetric Convolution Property for Discrete Trigonometric Transforms

Do N. Kim * and K. R. Rao

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; in revised form: 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

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Cite This Article

MDPI and ACS Style

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

AMA Style

Kim D.N., Rao K.R. Multiplication Symmetric Convolution Property for Discrete Trigonometric Transforms. Algorithms. 2009; 2(3):1221-1231.

Chicago/Turabian Style

Kim, Do N.; Rao, K. R. 2009. "Multiplication Symmetric Convolution Property for Discrete Trigonometric Transforms." Algorithms 2, no. 3: 1221-1231.

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