Poisson summation formulae associated with the special affine Fourier transform and offset Hilbert transform

DOI10.1155/2017/1354129zbMath1426.42005OpenAlexW2750375755MaRDI QIDQ1992316

Zhi-Hai Zhuo

Publication date: 5 November 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/1354129

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Sampling theory in information and communication theory (94A20)

Related Items (3)

Windowed special affine Fourier transform ⋮ A sampling theorem with error estimation for S-transform ⋮ Special affine wavelet transform and the corresponding Poisson summation formula

Cites Work

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• New sampling formulae related to linear canonical transform
• The Poisson sum formulae associated with the fractional Fourier transform
• The generalization of the Poisson sum formula associated with the linear canonical transform
• Sampling of compact signals in offset linear canonical transform domains
• Sampling and Discrete Linear Canonical Transforms
• Shift-Invariant and Sampling Spaces Associated With the Fractional Fourier Transform Domain
• Eigenfunctions of Fourier and Fractional Fourier Transforms With Complex Offsets and Parameters
• Generalization of the fractional Fourier transformation to an arbitrary linear lossless transformation an operator approach
• Convolution theorem for fractional cosine‐sine transform and its application
• Linear Canonical Transformations and Their Unitary Representations

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