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Sampling and multiplicative filtering associated with the quadratic-phase Fourier transform

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Abstract

The quadratic-phase Fourier transform is a recent addition to the class of quadratic-phase integral transforms and embodies several signal processing tools including the Fourier, fractional Fourier, linear canonical, Fresnel and special affine Fourier transforms. The aim of this article is twofold: first, to obtain the sampling theorem associated with the quadratic-phase Fourier transform; second, to demonstrate the construction of computationally reliable multiplicative filters in the quadratic-phase Fourier domain. To facilitate the motive, we formulate a novel convolution structure in the quadratic-phase Fourier domain and also demonstrate its efficiency in filtering-out the unwanted components from a signal by employing the well-known Wigner distribution.

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Authors and Affiliations

  1. Department of Mathematics, University of Kashmir, South Campus, Anantnag, Jammu and Kashmir, 192101, India

    Firdous A. Shah & Azhar Y. Tantary

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  1. Firdous A. Shah
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  2. Azhar Y. Tantary
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Correspondence to Firdous A. Shah.

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Shah, F.A., Tantary, A.Y. Sampling and multiplicative filtering associated with the quadratic-phase Fourier transform. SIViP 17, 1745–1752 (2023). https://doi.org/10.1007/s11760-022-02385-y

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  • DOI: https://doi.org/10.1007/s11760-022-02385-y

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