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arXiv · 1507.07291

Sampling time-frequency localized functions and constructing localized time-frequency frames

Monika Dörfler·Gino Angelo Velasco
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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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Monika Dörfler, Gino Angelo Velasco. 2015-07-27. Sampling time-frequency localized functions and constructing localized time-frequency frames. https://doi.org/10.1017/s095679251600053x

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