Planar sampling sets for the short-time Fourier transform
Language
en
Article de revue
This item was published in
Constructive Approximation. 2021, vol. 53, p. 479-502
Springer Verlag
English Abstract
This paper considers the problem of restricting the short-time Fourier transform to domains of nonzero measure in the plane and studies sampling bounds of such systems. In particular, we give a quantitative estimate for ...Read more >
This paper considers the problem of restricting the short-time Fourier transform to domains of nonzero measure in the plane and studies sampling bounds of such systems. In particular, we give a quantitative estimate for the lower sampling bound in the case of Hermite windows and derive a sufficient condition for a large class of windows in terms of a certain planar density. On the way, we prove a Remez-type inequality for polyanalytic functions. MSC2010: 42C40, 46E15, 46E20, 42C15Revised according to referee's recomandationRead less <
English Keywords
short-time Fourier transform
concentration estimates
planar sets of sampling
polyanalytic Bargmann-Fock spaces
irregular Gabor frames
Remez-type inequalities
sampling sets
poly- analytic Bargmann-Fock spaces
Origin
Hal imported