Phase retrieval from sampled Gabor transform magnitudes: counterexamples

DOI10.1007/s00041-021-09901-7zbMath1481.94048arXiv2010.01078OpenAlexW3090099564WikidataQ124879630 ScholiaQ124879630MaRDI QIDQ2066262

Rima Alaifari, Matthias Wellershoff

Publication date: 14 January 2022

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.01078

zbMATH Keywords

sampling theoryGabor transformtime-frequency analysisphase retrieval

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Sampling theory in information and communication theory (94A20)

Related Items (5)

On foundational discretization barriers in STFT phase retrieval ⋮ Non-Uniqueness Theory in Sampled STFT Phase Retrieval ⋮ Injectivity of sampled Gabor phase retrieval in spaces with general integrability conditions ⋮ Sampling at twice the Nyquist rate in two frequency bins guarantees uniqueness in Gabor phase retrieval ⋮ Injectivity of Gabor phase retrieval from lattice measurements

Cites Work

• Uniqueness results in an extension of Pauli's phase retrieval problem
• Foundations of time-frequency analysis
• Phase retrieval and magnitude retrieval of entire functions
• Uniqueness of STFT phase retrieval for bandlimited functions

This page was built for publication: Phase retrieval from sampled Gabor transform magnitudes: counterexamples