Construction of Gabor frames in \(l^2(\mathbb{Z})\) using Gabor frames in \(L^2(\mathbb{R})\)
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DOI:
https://doi.org/10.26637/MJM0804/0120Abstract
In this paper we identified a collection of unitary operators which maps Gabor frames in \(L^2(\mathbb{R})\) to Gabor frames in \(l^2(\mathbb{Z})\). This is very important in construction of Gabor frames in \(l^2(\mathbb{Z})\) from Gabor frames in \(L^2(\mathbb{R})\) other than which obtained from Gabor frames in \(L^2(\mathbb{R})\) through sampling.
Keywords:
Weyl-Heisenberg frame, Weyl-Heisenberg frameorthonormal basis, unitary operator, window coefficient sequenceMathematics Subject Classification:
Mathematics- Pages: 2029-2034
- Date Published: 01-10-2020
- Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)
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