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Sampling of Bandlimited Signals in Fractional Fourier Transform Domain

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Abstract

Fractional Fourier transformed bandlimited signals are shown to form a reproducing kernel Hilbert space. Basic properties of the kernel function are applied to the study of a sampling problem in the fractional Fourier transform (FRFT) domain. An orthogonal sampling basis for the class of bandlimited signals in the FRFT domain is then given. A nonuniform sampling theorem for bandlimited signals in the FRFT domain is also presented. Numerical experiments are given to demonstrate the effectiveness of the proposed nonuniform sampling theorem.

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Authors and Affiliations

  1. National Key Laboratory of Tunable Laser Technology, Harbin Institute of Technology, Harbin, 150001, China

    Qi-Wen Ran, Hui Zhao, Li-Ying Tan & Jing Ma

  2. Science Research Center, Research Academy of Science and Technology, Harbin Institute of Technology, Harbin, 150001, China

    Qi-Wen Ran

Authors
  1. Qi-Wen Ran
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  2. Hui Zhao
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  3. Li-Ying Tan
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  4. Jing Ma
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Correspondence to Hui Zhao.

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Ran, QW., Zhao, H., Tan, LY. et al. Sampling of Bandlimited Signals in Fractional Fourier Transform Domain. Circuits Syst Signal Process 29, 459–467 (2010). https://doi.org/10.1007/s00034-010-9155-y

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  • DOI: https://doi.org/10.1007/s00034-010-9155-y

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