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Filbir, F. ; Tasche, M.*

Regularized shannon sampling formulas related to the special affine fourier transform.

J. Fourier Anal. Appl. 31:40 (2025)
Verlagsversion DOI
Open Access Hybrid
Creative Commons Lizenzvertrag
In this paper, we present new regularized Shannon sampling formulas related to the special affine Fourier transform (SAFT). These sampling formulas use localized sampling with special compactly supported, continuous window functions, namely B-spline, sinh-type, and continuous Kaiser–Bessel window functions. In contrast to the known Shannon sampling series for SAFT, the regularized Shannon sampling formulas for SAFT possesses an exponential decay of the approximation error and are numerically robust in the presence of noise, if certain oversampling condition is fulfilled.
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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Schlagwörter Compactly Supported Window Function ; Error Estimates ; Numerical Robustness ; Regularized Shannon Sampling Formula Related To Saft ; Saft ; Shannon Sampling Theorem ; Special Affine Fourier Transform; Signals; Reconstruction
ISSN (print) / ISBN 1069-5869
Zeitschrift Journal of Fourier Analysis and Applications, The
Quellenangaben Band: 31, Heft: 3, Seiten: , Artikelnummer: 40 Supplement: ,
Verlag Springer
Verlagsort 233 Spring Street, 6th Floor, New York, Ny 10013 Usa
Begutachtungsstatus Peer reviewed
Institut(e) Institute of Biological and Medical Imaging (IBMI)
Förderungen Helmholtz Association
Helmholtz Zentrum Mnchen - Deutsches Forschungszentrum fr Gesundheit und Umwelt (GmbH) (4209)