3 papers
math.CA2025
Cheeger's Constant for the Gabor Transform and Ripples
Rima Alaifari, Ben Pineau, Mitchell A. Taylor +1
We discover a new instability mechanism for short-time Fourier transform phase retrieval which yields that for any reasonable window function in any dimension , the local st…
math.FA2023
Uncovering the limits of uniqueness in sampled Gabor phase retrieval: A dense set of counterexamples in
Rima Alaifari, Francesca Bartolucci, Matthias Wellershoff
Sampled Gabor phase retrieval - the problem of recovering a square-integrable signal from the magnitude of its Gabor transform sampled on a lattice - is a fundamental problem in si…
math.FA2020
Uniqueness of STFT phase retrieval for bandlimited functions
Rima Alaifari, Matthias Wellershoff
We consider the problem of phase retrieval from magnitudes of short-time Fourier transform (STFT) measurements. It is well-known that signals are uniquely determined (up to global…