Sampling at twice the Nyquist rate in two frequency bins guarantees uniqueness in Gabor phase retrieval
Functional Analysis
2026-04-10 v3
Abstract
We show that bandlimited signals can be uniquely recovered (up to a constant global phase factor) from Gabor transform magnitudes sampled at twice the Nyquist rate in two frequency bins.
Cite
@article{arxiv.2206.03946,
title = {Sampling at twice the Nyquist rate in two frequency bins guarantees uniqueness in Gabor phase retrieval},
author = {Matthias Wellershoff},
journal= {arXiv preprint arXiv:2206.03946},
year = {2026}
}
Comments
9 pages; significant improvement in the presentation