39 citations · 215 across the 17 of their papers we have counts for
11 papers · 1 filter
Multi-Window Approaches for Direct and Stable STFT Phase Retrieval
Rima Alaifari, Yunan Yang
Phase retrieval from phaseless short-time Fourier transform (STFT) measurements is known to be inherently unstable when measurements are taken with respect to a single window. Whil…
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…
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…
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…
Gabor phase retrieval is severely ill-posed
Rima Alaifari, Philipp Grohs
The problem of reconstructing a function from the magnitudes of its frame coefficients has recently been shown to be never uniformly stable in infinite-dimensional spaces [5]. This…
Stable Phase Retrieval in Infinite Dimensions
Rima Alaifari, Ingrid Daubechies, Philipp Grohs +1
The problem of phase retrieval is to determine a signal , with a Hilbert space, from intensity measurements , where $F(ω):=\langle f , φ_ω\r…
Phase retrieval in the general setting of continuous frames for Banach spaces
Rima Alaifari, Philipp Grohs
We develop a novel and unifying setting for phase retrieval problems that works in Banach spaces and for continuous frames and consider the questions of uniqueness and stability of…
Reconstructing real-valued functions from unsigned coefficients with respect to wavelet and other frames
Rima Alaifari, Ingrid Daubechies, Philipp Grohs +1
In this paper we consider the following problem of phase retrieval: Given a collection of real-valued band-limited functions that consti…