Convolution using discrete sine and cosine transforms

Convolution using discrete sine and cosine transforms

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...

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Bibliographic Details
Main Authors: Reju, Vaninirappuputhenpurayil Gopalan, Koh, Soo Ngee, Soon, Ing Yann
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2011
Subjects:
DRNTU::Engineering::Electrical and electronic engineering::Electronic systems::Signal processing
Online Access:https://hdl.handle.net/10356/94137
http://hdl.handle.net/10220/7005
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Institution: Nanyang Technological University
Language: English
Description
Summary: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.

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