A new perspective on the two-dimensional fractional Fourier transform and its relationship with the Wigner distribution

DOI10.1007/s00041-017-9588-9zbMath1430.42013OpenAlexW2773492373MaRDI QIDQ666647

Ahmed I. Zayed

Publication date: 6 March 2019

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-017-9588-9

zbMATH Keywords

metaplectic representationfractional Fourier transformWigner distribution4-dimensional rotationscomplex Hermite polynomialstwo-dimensional fractional Fourier transform

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Application of orthogonal and other special functions (94A11) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (6)

Two-dimensional fractional Stockwell transform ⋮ COUPLED FRACTIONAL WIGNER DISTRIBUTION WITH APPLICATIONS TO LFM SIGNALS ⋮ Uncertainty principles for the coupled fractional Wigner distribution ⋮ Riesz transform associated with the fractional Fourier transform and applications in image edge detection ⋮ Short time coupled fractional Fourier transform and the uncertainty principle ⋮ On the extension of the coupled fractional Fourier transform and its properties

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