Gino Angelo Velasco
Published 2017-07-30Version 1
We study the random sampling of the short-time Fourier transform of functions that are localized in a compact region in the time-frequency plane. We follow the approach introduced by Bass and Gr\"ochenig for band-limited functions, and show that with a high, controllable probability, a sufficiently dense set of local random samples from the region of concentration in the time-frequency plane yields a sampling inequality for the short-time Fourier transform of time-frequency localized functions on the region.
The Pole Behaviour of the Phase Derivative of the Short-Time Fourier Transform
Coorbit Theory for Coefficients in Weighted Lebesgue Spaces, and its Application to the Wavelet Transform and the Short-Time Fourier Transform
From completeness of discrete translates to phaseless sampling of the short-time Fourier transform
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