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Sampling in the Linear Canonical Transform Domain

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  • Bing-Zhao Li
  • Tian-Zhou Xu

Abstract

This paper investigates the interpolation formulae and the sampling theorem for bandpass signals in the linear canonical transform (LCT) domain. Firstly, one of the important relationships between the bandpass signals in the Fourier domain and the bandpass signals in the LCT domain is derived. Secondly, two interpolation formulae from uniformly sampled points at half of the sampling rate associated with the bandpass signals and their generalized Hilbert transform or the derivatives in the LCT domain are obtained. Thirdly, the interpolation formulae from nonuniform samples are investigated. The simulation results are also proposed to verify the correctness of the derived results.

Suggested Citation

  • Bing-Zhao Li & Tian-Zhou Xu, 2012. "Sampling in the Linear Canonical Transform Domain," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-13, July.
    • Handle: RePEc:hin:jnlmpe:504580
    DOI: 10.1155/2012/504580
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    Cited by:

    1. Siddiqui Saima & Bingzhao Li & Samad Muhammad Adnan, 2022. "New Sampling Expansion Related to Derivatives in Quaternion Fourier Transform Domain," Mathematics, MDPI, vol. 10(8), pages 1-12, April.

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