Repository logo
 
Publication

Integer DCT Approximation With Arbitrary Size and Adjustable Precision

2020-05-28Journal article Open access
Simple item page
datacite.subject.fosCiências Naturais::Matemáticas
datacite.subject.fosCiências Naturais::Ciências da Computação e da Informação
datacite.subject.fosEngenharia e Tecnologia::Engenharia Eletrotécnica, Eletrónica e Informática
datacite.subject.sdg03:Saúde de Qualidade
datacite.subject.sdg10:Reduzir as Desigualdades
datacite.subject.sdg11:Cidades e Comunidades Sustentáveis
dc.contributor.authorThomaz, Lucas A.
dc.contributor.authorAssunção, Pedro A. A.
dc.contributor.authorTavora, Luis M. N.
dc.contributor.authorFaria, Sérgio M. M. de
dc.date.accessioned2025-10-10T14:41:24Z
dc.date.available2025-10-10T14:41:24Z
dc.date.issued2020-05-28
dc.description.abstractThis letter proposes a method to obtain integer reversible discrete cosine transforms for generic transform-based coding schemes. The novelty of the proposed method, which is based on decomposition of the DCT-II matrix into two triangular and one diagonal matrices, is twofold: (i) the new matrices can be of arbitrary size, i.e., any square N\times N dimension, thus suitable for applications where non power-of-2 dimensions are required; (ii) they can be designed with adjustable precision in a trade-off with the number of representation bits. Furthermore, improvements are also proposed over the base scheme to avoid numerical issues when working with large matrices and to obtain more reliable approximations. The performance evaluation demonstrate the effectiveness of the proposed transforms to approximate the coding gain capabilities of the original DCT-II.eng
dc.description.sponsorshipThis work was supported in part by the Programa Operacional Regional do Centro, under Project PlenoISLA POCI-01-0145-FEDER-028325 and in part by the FCT/MCTES through national funds and when applicable co-funded by EU funds under the Project UIDB/EEA/50008/2020. The associate editor coordinating the review of this manuscript and approving it for publication was Dr. Matteo Naccari (Corresponding author: Lucas A. Thomaz.)
dc.identifier.citationL. A. Thomaz, P. A. A. Assunção, L. M. N. Tavora and S. M. M. d. Faria, "Integer DCT Approximation With Arbitrary Size and Adjustable Precision," in IEEE Signal Processing Letters, vol. 27, pp. 965-969, 2020, doi: https://doi.org/10.1109/LSP.2020.2998362.
dc.identifier.doi10.1109/lsp.2020.2998362
dc.identifier.eissn1558-2361
dc.identifier.issn1070-9908
dc.identifier.urihttp://hdl.handle.net/10400.8/14243
dc.language.isoeng
dc.peerreviewedyes
dc.publisherIEEE Canada
dc.relation.hasversionhttps://ieeexplore.ieee.org/document/9103210
dc.relation.ispartofIEEE Signal Processing Letters
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectInteger DCT
dc.subjectLossless Coding
dc.subjectSeparable Transform
dc.subjectTransform Coding
dc.subjectTriangular Decomposition
dc.titleInteger DCT Approximation With Arbitrary Size and Adjustable Precisioneng
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage969
oaire.citation.startPage965
oaire.citation.titleIEEE Signal Processing Letters
oaire.citation.volume27
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyNameThomaz
person.familyNameAssunção
person.familyNamede Oliveira Pegado de Noronha E Távora
person.familyNameFaria
person.givenNameLucas
person.givenNamePedro
person.givenNameLuís Miguel
person.givenNameSergio
person.identifier.ciencia-id6811-3984-C17B
person.identifier.ciencia-id121C-FADA-D750
person.identifier.ciencia-id8815-4101-28DD
person.identifier.orcid0000-0002-1004-7772
person.identifier.orcid0000-0001-9539-8311
person.identifier.orcid0000-0002-8580-1979
person.identifier.orcid0000-0002-0993-9124
person.identifier.ridA-4827-2017
person.identifier.ridC-5245-2011
person.identifier.scopus-author-id6701838347
person.identifier.scopus-author-id14027853900
relation.isAuthorOfPublication5aaecc29-3e2f-49a6-9fd9-7000d9f6085f
relation.isAuthorOfPublication25649bb9-f135-48e8-8d0f-3706b86701d3
relation.isAuthorOfPublication71940f24-f333-4ab6-abf6-00c7119a07c2
relation.isAuthorOfPublicationf69bd4d6-a6ef-4d20-8148-575478909661
relation.isAuthorOfPublication.latestForDiscovery5aaecc29-3e2f-49a6-9fd9-7000d9f6085f

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Integer DCT Approximation with Arbitrary Size and Adjustable Precision.pdf
Size:
543.72 KB
Format:
Adobe Portable Document Format
Description:
This letter proposes a method to obtain integer reversible discrete cosine transforms for generic transform-based coding schemes. The novelty of the proposed method, which is based on decomposition of the DCT-II matrix into two triangular and one diagonal matrices, is twofold: (i) the new matrices can be of arbitrary size, i.e., any square N\times N dimension, thus suitable for applications where non power-of-2 dimensions are required; (ii) they can be designed with adjustable precision in a trade-off with the number of representation bits. Furthermore, improvements are also proposed over the base scheme to avoid numerical issues when working with large matrices and to obtain more reliable approximations. The performance evaluation demonstrate the effectiveness of the proposed transforms to approximate the coding gain capabilities of the original DCT-II.
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.32 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

ESTG - Artigos em revistas internacionais