B-Spline Approximations of the Gaussian, their Gabor Frame Properties, and Approximately Dual Frames
نویسندگان
چکیده
منابع مشابه
Approximately dual frames in Hilbert spaces and applications to Gabor frames
Approximately dual frames are studied in the Hilbert space setting. Approximate duals are easier to construct than classical dual frames, and can be tailored to yield almost perfect reconstruction. Bounds on the deviation from perfect reconstruction are obtained for approximately dual frames constructed via perturbation theory. An alternative bound is derived for the rich class of Gabor frames,...
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We discuss the concepts of pseudo-dual frames and approximately dual frames, and illuminate their relationship to classical frames. Approximately dual frames are easier to construct than the classical dual frames, and might be tailored to yield almost perfect reconstruction. For approximately dual frames constructed via perturbation theory, we provide a bound on the deviation from perfect recon...
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ژورنال
عنوان ژورنال: Journal of Fourier Analysis and Applications
سال: 2017
ISSN: 1069-5869,1531-5851
DOI: 10.1007/s00041-017-9557-3