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Optimal design of perfect DFT sequences

datacite.subject.fosCiências Naturais::Ciências da Computação e da Informação
datacite.subject.sdg03:Saúde de Qualidade
datacite.subject.sdg07:Energias Renováveis e Acessíveis
datacite.subject.sdg11:Cidades e Comunidades Sustentáveis
dc.contributor.authorPereira, João S.
dc.contributor.authorSilva, Henrique J.A. da
dc.date.accessioned2026-03-25T11:17:30Z
dc.date.available2026-03-25T11:17:30Z
dc.date.issued2013-06
dc.description.abstractIn this paper, we propose a novel scheme to construct a large set with N(N + 1) perfect sequences of length N, derived from an Inverse Discrete Fourier Transform (IDFT) of Chu and maximum-length sequences. This optimum set of perfect periodic autocorrelation sequences has a maximum absolute value of periodic cross-correlation strictly lower than N and close to the well known lower bound SQRT(N). Moreover, we present a method to transform these perfect sequences into orthogonal sequences. A similar method is also proposed to obtain optimum bipolar codes derived from an alternative set of N2 perfect sequences. In the design of perfect sequences, the difficulty is to achieve both low cross-correlation and low peak-to-average power ratio (PAPR). Many of the proposed perfect DFT sequences should have low PAPR and thus can be applied in an OFDM–CDMA (Orthogonal Frequency-Division Multiplexing–Code Division Multiple Access) communication system or in a simple CDMA communication system. Alternatively, the proposed perfect DFT sequences may be useful for pre-coded mapping in OFDM communication systems or for the design of radar waveform diversity sets.eng
dc.identifier.citationJoão S. Pereira, Henrique J.A. da Silva, Optimal design of perfect DFT sequences, Physical Communication, Volume 7, 2013, Pages 92-104, ISSN 1874-4907, https://doi.org/10.1016/j.phycom.2012.10.001.
dc.identifier.doi10.1016/j.phycom.2012.10.001
dc.identifier.issn1874-4907
dc.identifier.urihttp://hdl.handle.net/10400.8/15988
dc.language.isoeng
dc.peerreviewedyes
dc.publisherElsevier
dc.relation.hasversionhttps://www.sciencedirect.com/science/article/pii/S1874490712000766?via%3Dihub
dc.relation.ispartofPhysical Communication
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectCDMA
dc.subjectGDFT
dc.subjectOFDM
dc.subjectPerfect sequences
dc.titleOptimal design of perfect DFT sequenceseng
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage104
oaire.citation.startPage92
oaire.citation.titlePhysical Communication
oaire.citation.volume7
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyNamePereira
person.givenNameJoão
person.identifier.ciencia-idBD1E-268C-60A0
person.identifier.orcid0000-0002-4303-2876
person.identifier.scopus-author-id56269586400
relation.isAuthorOfPublicationd236a326-78d1-4be7-afca-0adcdcc4d4ae
relation.isAuthorOfPublication.latestForDiscoveryd236a326-78d1-4be7-afca-0adcdcc4d4ae

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