Next Article in Journal
Classification of Sperm Whale Clicks (Physeter Macrocephalus) with Gaussian-Kernel-Based Networks
Next Article in Special Issue
Linear-Time Text Compression by Longest-First Substitution
Previous Article in Journal
Stefan Problem through Extended Finite Elements: Review and Further Investigations
Previous Article in Special Issue
Approximate String Matching with Compressed Indexes
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)
Download PDF [303 KB, uploaded 22 September 2009]

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 which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Share & Cite This Article

Export to BibTeX |
EndNote


MDPI and ACS Style

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

View more citation formats

Article Metrics

Comments

Citing Articles

[Return to top]
Algorithms EISSN 1999-4893 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert