An exact solution to the Fourier transform of band-limited periodic functions with nonequispaced data and application to non-periodic functions

DOI10.1016/j.jcp.2022.111806OpenAlexW4310064578MaRDI QIDQ2112514

Guy-René Perrin

Publication date: 11 January 2023

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111806

zbMATH Keywords

Fourier transformToeplitz matricesband-limited functionsirregular samplingnonequispaced data

Mathematics Subject Classification ID

Numerical linear algebra (65Fxx) Numerical methods in Fourier analysis (65Txx) Communication, information (94Axx)

Cites Work

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• Fast Reconstruction Methods for Bandlimited Functions from Periodic Nonuniform Sampling
• Toeplitz Equations by Conjugate Gradients with Circulant Preconditioner
• Generalized sampling expansion
• Fast Fourier Transforms for Nonequispaced Data
• A Class of Nonharmonic Fourier Series