39 citations · 116 across the 9 of their papers we have counts for
10 papers
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…
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…
Unique wavelet sign retrieval from samples without bandlimiting
Rima Alaifari, Francesca Bartolucci, Matthias Wellershoff
We study the problem of recovering a signal from magnitudes of its wavelet frame coefficients when the analyzing wavelet is real-valued. We show that every real-valued signal can b…
Sampling at twice the Nyquist rate in two frequency bins guarantees uniqueness in Gabor phase retrieval
Matthias Wellershoff
We show that bandlimited signals can be uniquely recovered (up to a constant global phase factor) from Gabor transform magnitudes sampled at twice the Nyquist rate in two frequency…
On the connection between uniqueness from samples and stability in Gabor phase retrieval
Rima Alaifari, Francesca Bartolucci, Stefan Steinerberger +1
Gabor phase retrieval is the problem of reconstructing a signal from only the magnitudes of its Gabor transform. Previous findings suggest a possible link between unique solvabilit…
Injectivity of sampled Gabor phase retrieval in spaces with general integrability conditions
Matthias Wellershoff
It was recently shown that functions in can be uniquely recovered up to a global phase factor from the absolute values of their Gabor transforms sampled on a rectangu…
Phase retrieval from sampled Gabor transform magnitudes: Counterexamples
Rima Alaifari, Matthias Wellershoff
We consider the recovery of square-integrable signals from discrete, equidistant samples of their Gabor transform magnitude and show that, in general, signals can not be recovered…
Phase retrieval of bandlimited functions for the wavelet transform
Rima Alaifari, Francesca Bartolucci, Matthias Wellershoff
We study the recovery of square-integrable signals from the absolute values of their wavelet transforms, also called wavelet phase retrieval. We present a new uniqueness result for…
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…
Stability estimates for phase retrieval from discrete Gabor measurements
Rima Alaifari, Matthias Wellershoff
Phase retrieval refers to the problem of recovering some signal (which is often modelled as an element of a Hilbert space) from phaseless measurements. It has been shown that in th…