Gabor phase retrieval is severely ill-posed
Weban intuitive argument about the connection between directions of instability in phase retrieval and certain Laplacian eigenfunctions associated to small eigenvalues. 1. Introduction Gabor phase retrieval is the problem of recovering signals f∈ L2(R) from magnitude measurements of their Gabor transform, Gf(x,ω) := 21/4 Z R WebGabor phase retrieval is severely ill-posed 101 0 0.0 ... On the other hand, the problem is always stable in finite-dimensional settings. A prominent example of such a phase …
Gabor phase retrieval is severely ill-posed
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WebIn 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 L 2 ( R ) . We prove … WebWe will now briefly discuss results regarding stability properties of phase retrieval in infinite-dimensional spaces. All results into this direction are fairly recent. First of all, inconveniently, phase retrieval in infinite dimensions is severely ill-posed as it can never be uniformly stable, in the sense that c.f/in (1.2) can never be ...
WebA prominent example of such a phase retrieval problem is the recovery of a signal from the modulus of its Gabor transform. 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). We prove that the stability constant scales at least ... WebGabor phase retrieval is severely ill-posed Rima Alaifari and Philipp Grohs September 3, 2024 Abstract The problem of reconstructing a function from the magnitudes of its frame …
WebGabor phase retrieval is severely ill-posed R. Alaifari and P. Grohs Research Report No. 2024-19 May 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 … Webhttp://hdl.handle.net/20.500.11850/297919. dc.language.iso. en
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 …
WebJun 14, 2024 · Stable Gabor Phase Retrieval and Spectral Clustering. We consider the problem of reconstructing a signal f from its spectrogram, i.e., the magnitudes Vφf of its Gabor transform Vφf (x,y):=∫ℝf (t)e−π (t−x)2e−2π iytdt, x,y∈ℝ. Such problems occur in a wide range of applications, from optical imaging of nanoscale structures to ... canon プリンター ドライバ ts8230WebUpper Right Menu. Login. Help canon プリンター ドライバ ダウンロード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. canon プリンター ドライバー 最新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]. canon プリンター ドライバー 無料ダウンロードWebIn 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 $L^2(\mathbb{R})$. We prove that the stability constant scales at least quadratically exponentially in the dimension of the subspaces. canon プリンター パソコン 印刷Webphase retrieval problem, as well as any fine-grained finite-dimen-sional approximation thereof, is unstable; phase retrieval is se-verely ill-posed. In view of this negative … canon プリンターヘッド qy6-0083WebA prominent example of such a phase retrieval problem is the recovery of a signal from the modulus of its Gabor transform. In this paper, we study Gabor phase retrieval and ask … canon プリンター ドライバー 認識しない