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

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.

9 pages; significant improvement in the presentation

References in corpus (3)

• Uniqueness of STFT phase retrieval for bandlimited functions
• Injectivity of Gabor phase retrieval from lattice measurements
• Phase retrieval from sampled Gabor transform magnitudes: Counterexamples

Cited by in corpus (4)

• Injectivity of sampled Gabor phase retrieval in spaces with general integrability conditions
• Phase retrieval of entire functions and its implications for Gabor phase retrieval
• On the connection between uniqueness from samples and stability in Gabor phase retrieval
• Arithmetic progressions and holomorphic phase retrieval