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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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

id	sg-ntu-dr.10356-94137
record_format	dspace
spelling	sg-ntu-dr.10356-941372020-03-07T14:02:44Z Convolution using discrete sine and cosine transforms Reju, Vaninirappuputhenpurayil Gopalan Koh, Soo Ngee Soon, Ing Yann School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering::Electronic systems::Signal processing 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. Accepted version 2011-09-06T09:12:57Z 2019-12-06T18:51:21Z 2011-09-06T09:12:57Z 2019-12-06T18:51:21Z 2007 2007 Journal Article Reju, V. G., Koh, S. N., & Soon, I. Y. (2007). Convolution Using Discrete Sine and Cosine Transforms. IEEE Signal Processing Letters, 14(7), 445-448. 1070-9908 https://hdl.handle.net/10356/94137 http://hdl.handle.net/10220/7005 10.1109/LSP.2006.891312 93533 en IEEE signal processing letters © 2007 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: [DOI: http://dx.doi.org/10.1109/LSP.2006.891312]. 4 p. application/pdf
institution	Nanyang Technological University
building	NTU Library
country	Singapore
collection	DR-NTU
language	English
topic	DRNTU::Engineering::Electrical and electronic engineering::Electronic systems::Signal processing
spellingShingle	DRNTU::Engineering::Electrical and electronic engineering::Electronic systems::Signal processing Reju, Vaninirappuputhenpurayil Gopalan Koh, Soo Ngee Soon, Ing Yann Convolution using discrete sine and cosine transforms
description	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.
author2	School of Electrical and Electronic Engineering
author_facet	School of Electrical and Electronic Engineering Reju, Vaninirappuputhenpurayil Gopalan Koh, Soo Ngee Soon, Ing Yann
format	Article
author	Reju, Vaninirappuputhenpurayil Gopalan Koh, Soo Ngee Soon, Ing Yann
author_sort	Reju, Vaninirappuputhenpurayil Gopalan
title	Convolution using discrete sine and cosine transforms
title_short	Convolution using discrete sine and cosine transforms
title_full	Convolution using discrete sine and cosine transforms
title_fullStr	Convolution using discrete sine and cosine transforms
title_full_unstemmed	Convolution using discrete sine and cosine transforms
title_sort	convolution using discrete sine and cosine transforms
publishDate	2011
url	https://hdl.handle.net/10356/94137 http://hdl.handle.net/10220/7005
_version_	1681035942230491136

Convolution using discrete sine and cosine transforms

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