DC FieldValueLanguage
dc.contributorDepartment of Electronic and Information Engineeringen_US
dc.creatorZhou, Yen_US
dc.creatorLing, BWKen_US
dc.creatorHuang, Zen_US
dc.creatorChan, YLen_US
dc.creatorLin, Yen_US
dc.date.accessioned2021-07-15T02:12:04Z-
dc.date.available2021-07-15T02:12:04Z-
dc.identifier.issn1863-1703en_US
dc.identifier.urihttp://hdl.handle.net/10397/90512-
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.subjectFractional delayen_US
dc.subjectFractional singular spectrum analysisen_US
dc.subjectQuadratically constrained quadratic programingen_US
dc.titlePerforming fractional delay via fractional singular spectrum analysisen_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.doi10.1007/s11760-021-01954-xen_US
dcterms.abstractThis paper proposes a fractional singular spectrum analysis (SSA)-based method for performing the fractional delay. First, the input sequence is divided into two overlapping sequences with the first sequence being the input sequence without its last point and the second sequence being the input sequence without its first point. Then, the singular value decompositions (SVD) are performed on the trajectory matrices constructed based on these two sequences. Next, the designs of both the right unitary matrix and the left unitary matrix for generating the new trajectory matrix are formulated as the quadratically constrained quadratic programing problems. The analytical solutions of these quadratically constrained quadratic programing problems are derived via the SVD approach. Finally, the fractional SSA components are obtained by performing the diagonal averaging operation, and the fractional delay sequence is obtained by summing up all the fractional SSA components together. Since the fractional SSA operations are nonlinear and adaptive, our proposed method is a kind of nonlinear and adaptive approach for performing the fractional delay. Besides, by discarding some fractional SSA components, the joint fractional delay operation and the denoising operation can be performed simultaneously.en_US
dcterms.accessRightsembargoed accessen_US
dcterms.bibliographicCitationSignal, image and video processing, Online first, https://doi.org/10.1007/s11760-021-01954-xen_US
dcterms.isPartOfSignal, image and video processingen_US
dcterms.issued2021-
dc.identifier.scopus2-s2.0-85108146081-
dc.description.validate202107 bcvcen_US
dc.description.oaNot applicableen_US
dc.identifier.FolderNumbera0964-n09-
dc.identifier.SubFormID2243-
dc.description.fundingSourceOthersen_US
dc.description.fundingTextthe National Nature Science Foundation of China (no. U1701266, no. 61671163 and no. 62071128), the Team Project of the Education Ministry of the Guangdong Province (no. 2017KCXTD011), the Guangdong Higher Education Engineering Technology Research Center for Big Data on Manufacturing Knowledge Patent (no. 501130144), Hong Kong Innovation and Technology Commission, Enterprise Support Scheme (no. S/E/070/17)en_US
dc.description.pubStatusEarly releaseen_US
dc.date.embargo2022.06.16en_US
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