- 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 PWΩ of square-integrable functions bandlimited to [-Ω/2, Ω/2] generated by translates φn (t - αℓ) of prolate spheroidal wave-functions φn (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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