Uniqueness of the Short-Time Linear Canonical Transform Phase Retrieval
Functional Analysis
2025-08-27 v1
Abstract
In this paper, we focus on the problem of phase retrieval from intensity measurements of the Short-Time Linear Canonical Transform (STLCT). Specifically, we show that the STLCT allows for the unique recovery of any square-integrable function through phaseless STLCT sampling on rectangular square-root lattices. When turning to the uniform lattices, we establish counterexamples about the STLCT phase retrieval problems in L2(R). Nevertheless, for functions in band-limited function spaces, phase retrieval results on uniform lattices can still be accomplished.
Keywords
Cite
@article{arxiv.2508.18973,
title = {Uniqueness of the Short-Time Linear Canonical Transform Phase Retrieval},
author = {Yali Dong and Rui Liu and Heying Wang},
journal= {arXiv preprint arXiv:2508.18973},
year = {2025}
}