Prolate shift frames and their duals

Title: Prolate shift frames and their duals
Creator: Hogan, Jeffrey A.; Lakey, Joseph D.
Relation: 2015 International Conference on Sampling Theory and Applications (SampTA 2015) . 2015 International Conference on Sampling Theory and Applications (Washington, DC 25-29 May, 2015) p. 115-119
Publisher Link: http://dx.doi.org/10.1109/SAMPTA.2015.7148862
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Resource Type: conference paper
Date: 2015
Description: We investigate frames for the Paley-Wiener space PW_Ω of square-integrable functions bandlimited to [-Ω/2, Ω/2] generated by translates φ_n (t - αℓ) of prolate spheroidal wave-functions φ_n (where α > 0 and ℓ is an integer). We estimate frame bounds and give a Fourier construction of the dual frames. An ℓ² estimate on the decay of uniform samples of prolate functions is given to show that the computation of the duals can be done efficiently.
Subject: eigenvalues and eigenfunctions; bandwidth; limiting; wave functions; Australia; Fourier transforms; Hilbert space
Identifier: http://hdl.handle.net/1959.13/1330443
Identifier: uon:26389
Identifier: ISBN:9781467373531
Language: eng
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