Sampling expansion for irregularly sampled signals in fractional Fourier transform domain
Article
Article Title | Sampling expansion for irregularly sampled signals in fractional Fourier transform domain |
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ERA Journal ID | 4407 |
Article Category | Article |
Authors | Liu, Xiaoping (Author), Shi, Jun (Author), Xiang, Wei (Author), Zhang, Qinyu (Author) and Zhang, Naitong (Author) |
Journal Title | Digital Signal Processing |
Journal Citation | 34, pp. 74-81 |
Number of Pages | 8 |
Year | 2014 |
Place of Publication | United States |
ISSN | 1051-2004 |
1095-4333 | |
Digital Object Identifier (DOI) | https://doi.org/10.1016/j.dsp.2014.08.004 |
Web Address (URL) | https://www.sciencedirect.com/science/article/pii/S1051200414002528 |
Abstract | Real-world signals are often not band-limited, and in many cases of practical interest sampling points are not always measured regularly. The purpose of this paper is to propose an irregular sampling theorem for the fractional Fourier transform (FRFT), which places no restrictions on the input signal. First, we construct frames for function spaces associated with the FRFT. Then, we introduce a unified framework for sampling and reconstruction in the function spaces. Based upon the proposed framework, an FRFT-based irregular sampling theorem without band-limiting constraints is established. The theoretical derivations are validated via numerical results. |
Keywords | Fourier transform; fractional; function spaces; irregular sampling; non-bandlimited; sampling theorem |
ANZSRC Field of Research 2020 | 400607. Signal processing |
490406. Lie groups, harmonic and Fourier analysis | |
490404. Combinatorics and discrete mathematics (excl. physical combinatorics) | |
Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |
Byline Affiliations | Harbin Institute of Technology, China |
School of Mechanical and Electrical Engineering | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q2x34/sampling-expansion-for-irregularly-sampled-signals-in-fractional-fourier-transform-domain
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