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Sampling time-frequency localized functions and constructing localized time-frequency frames
Published online by Cambridge University Press: 19 December 2016
Abstract
We study functions whose time-frequency content are concentrated in a compact region in phase space using time-frequency localization operators as a main tool. We obtain approximation inequalities for such functions using a finite linear combination of eigenfunctions of these operators, as well as a local Gabor system covering the region of interest. These would allow the construction of modified time-frequency dictionaries concentrated in the region.
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- Copyright © Cambridge University Press 2016
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