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arXiv · 2508.18973

Uniqueness of the Short-Time Linear Canonical Transform Phase Retrieval

Yali Dong·Rui Liu·Heying Wang
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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.

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Yali Dong, Rui Liu, Heying Wang. 2025-08-26. Uniqueness of the Short-Time Linear Canonical Transform Phase Retrieval. https://arxiv.org/abs/2508.18973

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