Wavelet frames generated by bandpass prolate functions

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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