Sampling expansion for irregularly sampled signals in fractional Fourier transform domain

Liu, Xiaoping, Shi, Jun, Xiang, Wei, Zhang, Qinyu, and Zhang, Naitong (2014) Sampling expansion for irregularly sampled signals in fractional Fourier transform domain. Digital Signal Processing, 34. pp. 74-81.

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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.

Item ID: 43305
Item Type: Article (Research - C1)
ISSN: 1095-4333
Keywords: fractional Fourier transform, function spaces, non-bandlimited, irregular sampling, sampling theorem
Funders: National Basic Research Program of China (NBRP), National Natural Science Foundation of China (NNSFC), Zhejiang Provincial Natural Science Foundation of China (ZPNSF)
Projects and Grants: NBRP 2013CB329003, NNSFC 61171110, ZPNSF LQ14F010003
Date Deposited: 24 Feb 2016 07:47
FoR Codes: 09 ENGINEERING > 0906 Electrical and Electronic Engineering > 090609 Signal Processing @ 100%
SEO Codes: 86 MANUFACTURING > 8615 Instrumentation > 861599 Instrumentation not elsewhere classified @ 100%
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