502 citations · 1.8k across the 42 of their papers we have counts for
4 papers · 2 filters
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…
Directional Wavelet Bases Constructions with Dyadic Quincunx Subsampling
Rujie Yin, Ingrid Daubechies
We construct directional wavelet systems that will enable building efficient signal representation schemes with good direction selectivity. In particular, we focus on wavelet bases…
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…
Phase retrieval in infinite-dimensional Hilbert spaces
Jameson Cahill, Peter G. Casazza, Ingrid Daubechies
The main result of this paper states that phase retrieval in infinite-dimensional Hilbert spaces is never uniformly stable, in sharp contrast to the finite dimensional setting in w…