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5 papers
Uniqueness of phase retrieval from three measurements
Philippe Jaming, Martin Rathmair
In this paper we consider the question of finding an as small as possible family of operators on that does phase retrieval: every is uniquely determin…
-stability analysis for Gabor phase retrieval
Philipp Grohs, Martin Rathmair
We consider the problem of reconstructing the missing phase information from spectrogram data with $$ \mathcal{G}f(x,y)=\int_\mathbb{R} f(t) e^{-π(t-x)^2}e^{-2πi…
Stable Gabor phase retrieval for multivariate functions
Philipp Grohs, Martin Rathmair
In recent work [P. Grohs and M. Rathmair. Stable Gabor Phase Retrieval and Spectral Clustering. Communications on Pure and Applied Mathematics (2018)] the instabilities of the Gabo…
Phase Retrieval: Uniqueness and Stability
Philipp Grohs, Sarah Koppensteiner, Martin Rathmair
The problem of phase retrieval, i.e., the problem of recovering a function from the magnitudes of its Fourier transform, naturally arises in various fields of physics, such as astr…
Stable Gabor Phase Retrieval and Spectral Clustering
Philipp Grohs, Martin Rathmair
We consider the problem of reconstructing a signal from its spectrogram, i.e., the magnitudes of its Gabor transform $$V_φf (x,y):=\int_{\mathbb{R}}f(t)e^{-π(t-x)^2}e^…