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

DOI10.1007/S00041-022-09990-YarXiv2206.03946MaRDI QIDQ6401481

Publication date: 8 June 2022

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.

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Sampling theory in information and communication theory (94A20)

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