8th International Conference on
Computational Harmonic Analysis

September 12-16, 2022

Ingolstadt, Germany

"Fundamental discretization barriers in STFT phase retrieval"

Liehr, Lukas

We discuss recent results on sampled STFT phase retrieval. The main theorems state that a square-integrable function is not determined up to a global phase from lattice samples of its spectrogram, no matter how the window function is chosen and no matter how dense the lattice is chosen. This reveals a stark contrast to classical results in time-frequency analysis where phase information is present.

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