Sampling Density for Gabor Phase Retrieval
Classical Analysis and ODEs
2025-12-02 v3
Abstract
Gabor phase retrieval stands for recovering a square integrable function up to a global phase from absolute values of its Gabor transform. In this paper, we study Gabor phase retrieval from discrete samples. We consider three types of sampling sequences, which include square root lattices, square root sequences on two intersecting lines and on three parallel lines respectively. In all cases we give the optimal sampling density for a sequence to do Gabor phase retrieval.
Cite
@article{arxiv.2511.13500,
title = {Sampling Density for Gabor Phase Retrieval},
author = {Ting Chen and Hanwen Lu and Wenchang Sun},
journal= {arXiv preprint arXiv:2511.13500},
year = {2025}
}
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23 pages