Sampling at twice the Nyquist rate in two frequency bins guarantees uniqueness in Gabor phase retrieval

TL;DR

This paper proves that bandlimited signals can be uniquely reconstructed from Gabor transform magnitude samples taken at twice the Nyquist rate in two frequency bins, ensuring phase retrieval uniqueness.

Contribution

It establishes a theoretical guarantee for unique signal recovery using Gabor phase retrieval with specific sampling conditions.

Findings

Unique recovery of bandlimited signals from Gabor magnitude samples at twice the Nyquist rate in two frequency bins.

Theoretical proof of phase retrieval uniqueness under these sampling conditions.

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.