WebThe 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 result also holds for frames that are possibly continuous [2]. On the other hand, the problem is always stable in finite-dimensional settings. Web3(3):63–76, 2016) and possibly severely ill-conditioned in finite-dimensional Hilbert spaces (Cahill et al. in Trans Am Math Soc Ser B 3(3):63–76, 2016). Recently, it has also been shown that phase retrieval from measurements induced by the Gabor transform with Gaussian window function is stable under a more relaxed semi-global
Gabor phase retrieval is severely ill-posed - NASA/ADS
WebSep 1, 2024 · In this paper, we study Gabor phase retrieval and ask how the stability degrades on a natural family of finite-dimensional subspaces of the signal domain L2(R). … WebIn its full generality, the inverse problem 1 is severely ill-posed due to its non-linear and non-convex nature. Traditional approaches to overcome the ill posedness of phase retrieval generally falls into two categories. slow cooker uk argos
Gabor phase retrieval is severely ill-posed - ScienceDirect
WebFrom a mathematical point of view, phase retrieval (from frame coefcients) is a challenging problem as it has been shown to be unstable in innite dimensional Hilbert spaces and severely ill-conditioned in nite dimensional spaces. WebMay 17, 2024 · Gabor phase retrieval is severely ill-posed Authors: Rima Alaifari ETH Zurich Philipp Grohs University of Vienna Abstract The problem of reconstructing a … WebMay 17, 2024 · [Submitted on 17 May 2024 ( v1 ), last revised 2 Sep 2024 (this version, v2)] 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]. slow cooker uncooked ham recipe