- Title
- Wavelet frames generated by bandpass prolate functions
- 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. 120-123
- Publisher Link
- http://dx.doi.org/10.1109/SAMPTA.2015.7148863
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- conference paper
- Date
- 2015
- Description
- We refer to eigenfunctions of the kernel corresponding to truncation in a time interval followed by truncation in a frequency band as bandpass prelates (BPPs). We prove frame bounds for certain families of shifts of bandpass prolates, and we numerically construct dual frames for finite dimensional analogues. In the continuous case, the corresponding families produce wavelet frames for the space of square-integrable functions.
- Subject
- eigenvalues and eigenfunctions; generators; baseband; discrete Fourier transforms; redundancy; kernel; wave functions
- Identifier
- http://hdl.handle.net/1959.13/1330437
- Identifier
- uon:26390
- Identifier
- ISBN:9781467373531
- Language
- eng
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