Please use this identifier to cite or link to this item:
PIRA download icon_1.1View/Download Full Text
Title: Performing fractional delay via fractional singular spectrum analysis
Authors: Zhou, Y
Ling, BWK
Huang, Z 
Chan, YL 
Lin, Y
Issue Date: Feb-2022
Source: Signal, image and video processing, Feb. 2022, v. 16, no. 1, p. 39-46
Abstract: This 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.
Keywords: Fractional delay
Fractional singular spectrum analysis
Quadratically constrained quadratic programing
Publisher: Springer
Journal: Signal, image and video processing 
ISSN: 1863-1703
DOI: 10.1007/s11760-021-01954-x
Rights: © The Author(s), under exclusive licence to Springer-Verlag London Ltd., part of Springer Nature 2021
This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use (, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at:
Appears in Collections:Journal/Magazine Article

Files in This Item:
File Description SizeFormat 
Zhou_Performing_Fractional_Delay.pdfPre-Published version4.57 MBAdobe PDFView/Open
Open Access Information
Status open access
File Version Final Accepted Manuscript
View full-text via PolyU eLinks SFX Query
Show full item record

Page views

Last Week
Last month
Citations as of May 28, 2023


Citations as of May 28, 2023

Google ScholarTM



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.