97 citations · 122 across the 5 of their papers we have counts for
5 papers
Relevant sampling of the short-time Fourier transform of time-frequency localized functions
Gino Angelo Velasco
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…
Sampling time-frequency localized functions and constructing localized time-frequency frames
Monika Dörfler, Gino Angelo Velasco
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 approximat…
A framework for invertible, real-time constant-Q transforms
Nicki Holighaus, Monika Dörfler, Gino Angelo Velasco +1
Audio signal processing frequently requires time-frequency representations and in many applications, a non-linear spacing of frequency-bands is preferable. This paper introduces a…
Approximate reconstruction of bandlimited functions for the integrate and fire sampler
Hans G. Feichtinger, José C. Príncipe, José Luis Romero +2
In this paper we study the reconstruction of a bandlimited signal from samples generated by the integrate and fire model. This sampler allows us to trade complexity in the reconstr…
Oscillation of Fourier transform and Markov-Bernstein inequalities
Szilard Gy. Revesz, Noli N. Reyes, Gino Angelo M. Velasco
Under certain conditions on an integrable function f having a real-valued Fourier transform Tf=F, we obtain a certain estimate for the oscillation of F in the interval [-C||f'||/||…