Bandpass pseudo prolate shift frames and Riesz bases

Title: Bandpass pseudo prolate shift frames and Riesz bases
Creator: Hogan, Jeffrey A.; Lakey, Joseph D.
Relation: 2017 12th International Conference on Sampling Theory and Applications (SAMPTA). Proceedings of the 2017 12th International Conference on Sampling Theory and Applications (Tallinn, Estonia 3-7 July, 2017) p. 369-372
Relation: Funding BodyARCGrant NumberDP160101537 http://purl.org/au-research/grants/arc/DP160101537
Publisher Link: http://dx.doi.org/10.1109/SAMPTA.2017.8024406
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Resource Type: conference paper
Date: 2017
Description: We investigate frames and Riesz bases for the space of square-integrable functions on the line whose Fourier transforms are supported on the union of two disjoint intervals (bandpass signals). By suitably modulating a frame (resp. Riesz basis) for the Paley-Wiener space PW_Ω which is generated by the shifts of prolate spheroidal wave functions, we generate frames (reps. Riesz bases) for the bandpass space, and show that the frame (resp. Riesz) bounds are the same as those of the baseband frame (resp. Riesz basis).
Subject: eigenvalues and eigenfunctions; Fourier transforms; manganese; wave functions; baseband; redundancy; Markov processes
Identifier: http://hdl.handle.net/1959.13/1386099
Identifier: uon:32357
Identifier: ISBN:9781538615652
Language: eng
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