Abstract

We demonstrate that a fourfold redundancy in the measurements is sufficient for uniqueness in sampled Gabor phase retrieval with bandlimited signals and thereby draw a parallel between the sampled Gabor phase retrieval problem and finite-dimensional phase retrieval problems. Precisely, we show that sampling at twice the Nyquist rate in two frequency bins guarantees uniqueness in Gabor phase retrieval for signals in the Paley–Wiener space.