Fourier and Hankel bandlimited signal recovery

DOI10.1080/10652460903286223zbMath1189.94035OpenAlexW2111364039MaRDI QIDQ3570146

Tahar Moumni, Abderrazek Karoui

Publication date: 24 June 2010

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460903286223

zbMATH Keywords

signal recoveryprolate spheroidal wave functionsDonoho-Stark uncertainty principlecircular prolate spheroidal wave functionsFourier bandlimited functionsHankel bandlimited functions

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Other wave functions (33E15)

Related Items (7)

On essentially time and Hankel band-limited functions ⋮ Spectrum of the finite Dunkl transform operator and Donoho–Stark uncertainty principle ⋮ Prolate spheroidal wave functions associated with the canonical Fourier–Bessel transform and uncertainty principles ⋮ A Donoho-Stark criterion for stable signal recovery in discrete wavelet subspaces ⋮ Unidimensional and bidimensional prolate spheroidal wave functions and applications ⋮ A generalization of the prolate spheroidal wave functions with applications to sampling ⋮ Uncertainty principles involvingL¹-norms for the Dunkl transform

Cites Work

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• Spectral analysis of the finite Hankel transform and circular prolate spheroidal wave functions
• An uncertainty principle for integral operators
• A problem of L. L. Campbell on the equivalence of the Kramer and Shannon sampling theorems
• New efficient methods of computing the prolate spheroidal wave functions and their corresponding eigenvalues
• Uncertainty Principles and Signal Recovery
• An improved version of Papoulis-Gerchberg algorithm on band-limited extrapolation
• Uncertainty principles for the Hankel transform
• A Comparison of the Sampling Theorems of Kramer and Whittaker

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