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- W3090099564 abstract "We consider the recovery of square-integrable signals from discrete, equidistant samples of their Gabor transform magnitude and show that, in general, signals can not be recovered from such samples. In particular, we show that for any lattice, one can construct functions in $L^2(mathbb{R})$ which do not agree up to global phase but whose Gabor transform magnitudes sampled on the lattice agree. These functions have good concentration in both time and frequency and can be constructed to be real-valued for rectangular lattices." @default.
- W3090099564 created "2020-10-08" @default.
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- W3090099564 date "2021-12-29" @default.
- W3090099564 modified "2023-10-17" @default.
- W3090099564 title "Phase Retrieval from Sampled Gabor Transform Magnitudes: Counterexamples" @default.
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- W3090099564 doi "https://doi.org/10.1007/s00041-021-09901-7" @default.
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