September 24, 2026 article Open access Aachen paper

Uncertainty principles as a tool for STFT phase retrieval

Applied and Computational Harmonic Analysis, vol. 87, pp. 101937

DOI: 10.1016/j.acha.2026.101937 Full text (OA) OpenAlex

Authors 1

David Bartusel corresponding Aachen Department of Mathematics

RWTH Aachen University

Affiliation as printed

Department of Mathematics, RWTH Aachen University, D-52056 Aachen, Germany

Cited by 0 stored of 0

No patents citing this paper on Lens.org (checked 2026-10-06).

References 14

Uncertainty Principles and Signal Recovery
1989 SIAM Journal on Applied Mathematics article Mathematics Mathematical Analysis and Transform Methods

1,096

citations
An uncertainty principle for cyclic groups of prime order
2005 Mathematical Research Letters article Mathematics Mathematical Analysis and Transform Methods Open access

211

citations
On support properties of Lp-functions and their Fourier transforms
1977 Journal of Functional Analysis article Mathematics Mathematical Analysis and Transform Methods Open access

144

citations
Phase Retrieval: Uniqueness and Stability
2020 SIAM Review article Mathematics Mathematical Analysis and Transform Methods Open access

90

citations
Fast Phase Retrieval from Local Correlation Measurements
2016 SIAM Journal on Imaging Sciences article Engineering Sparse and Compressive Sensing Techniques

56

citations
Phase Retrieval from Gabor Measurements
2015 Journal of Fourier Analysis and Applications article Mathematics Mathematical Analysis and Transform Methods Open access

49

citations
Phase Retrieval From Multiple-Window Short-Time Fourier Measurements
2017 IEEE Signal Processing Letters article Mathematics Mathematical Analysis and Transform Methods Open access

33

citations
Stability Estimates for Phase Retrieval from Discrete Gabor Measurements
2021 Journal of Fourier Analysis and Applications article Mathematics Mathematical Analysis and Transform Methods Open access

19

citations
Well-conditioned ptychographic imaging via lost subspace completion
2020 Inverse Problems article Physics and Astronomy Advanced X-ray Imaging Techniques Open access

9

citations
Injectivity Conditions for STFT Phase Retrieval on $${\mathbb {Z}}$$, $${\mathbb {Z}}_d$$ and $${{\mathbb {R}}}^d$$
2023 Journal of Fourier Analysis and Applications article Mathematics Mathematical Analysis and Transform Methods Open access

6

citations
Phasebook: a survey of selected open problems in phase retrieval
2025 Sampling Theory Signal Processing and Data Analysis article Physics and Astronomy Advanced X-ray Imaging Techniques Open access

5

citations
Background Removal for Ptychography via Wigner Distribution Deconvolution
2024 SIAM Journal on Imaging Sciences article Physics and Astronomy Advanced X-ray Imaging Techniques

4

citations
Solving multiple windowed STFT phase retrieval problems in phase and amplitude respectively
2022 Applied Mathematics in Science and Engineering article Mathematics Mathematical Analysis and Transform Methods Open access

3

citations
Multiwindow Approaches for Direct and Stable STFT Phase Retrieval
2025 SIAM Journal on Applied Mathematics article Mathematics Mathematical Analysis and Transform Methods

1

citations

14 results