Pseudo Clifford Bandpass Prolates

Title: Pseudo Clifford Bandpass Prolates
Creator: Hogan, Jeffrey A.; Lakey, Joseph D.
Relation: 2023 International Conference on Sampling Theory and Applications (SampTA 2023). Proceedings of the 2023 International Conference on Sampling Theory and Applications (SampTA 2023) (New Haven, CT July 10-14, 2023) p. 116-120
Publisher Link: http://dx.doi.org/10.1109/SampTA59647.2023.10301199
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Resource Type: conference paper
Date: 2023
Description: We introduce operators which generalise the classical modulation and translation operators, now acting on functions defined on Rm and taking values in the associated Clifford algebra ℂm. The modulation operators are used to map orthonormal bases for Paley-Wiener spaces associated with balls in Rm to incomplete orthonormal sets in Paley-Wiener spaces PWA associated with annuli A in Rm. The complementary spaces are characterised and an orthonormal basis for them is given. These bases are used to construct an orthonormal basis for PWA composed of pseudo bandpass prolates.
Subject: algebra; modulation; Clifford algebra; prolate
Identifier: http://hdl.handle.net/1959.13/1498409
Identifier: uon:54550
Identifier: ISBN:9798350328851
Identifier: ISSN:2831-5480
Language: eng
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