DocumentCode
960023
Title
Convolution Using Discrete Sine and Cosine Transforms
Author
Reju, V.G. ; Koh, Soo Ngee ; Soon, Ing Yann
Author_Institution
Nanyang Technol. Univ., Nanyang Avenue
Volume
14
Issue
7
fYear
2007
fDate
7/1/2007 12:00:00 AM
Firstpage
445
Lastpage
448
Abstract
In this paper, we derive a relation for the circular convolution operation in the discrete sine and cosine transform domains. The transform coefficients are either symmetric or asymmetric and hence we need to calculate only half of the total coefficients. Since fast algorithms are available for the computation of discrete sine and cosine transforms, the proposed method is an alternative to the discrete Fourier transform method for filtering applications.
Keywords
convolution; discrete Fourier transforms; discrete cosine transforms; filtering theory; circular convolution operation; cosine transforms; discrete Fourier transform; discrete sine transforms; filtering applications; Convolution; Discrete Fourier transforms; Discrete cosine transforms; Discrete transforms; Equations; Fast Fourier transforms; Filtering algorithms; Fourier transforms; Helium; Discrete transforms; Fourier transforms; filtering;
fLanguage
English
Journal_Title
Signal Processing Letters, IEEE
Publisher
ieee
ISSN
1070-9908
Type
jour
DOI
10.1109/LSP.2006.891312
Filename
4244493
Link To Document