8th International Conference on
Computational Harmonic Analysis

September 12-16, 2022

Ingolstadt, Germany

"Possible windows for finite-dimensional STFT phase retrieval"

Bartusel, David

We study phase retrieval for the finite-dimensional short-time Fourier transform (STFT), i.e. the problem of recovering a signal $f\in\mathbb{C}^d$ (up to a global phase factor) from its spectogram $|V_gf|^2$ w.r.t. a given window $g\in\mathbb{C}^d$. It is well-known that this recovery is always possible, once the window's ambiguity function vanishes nowhere. We discuss whether this condition is also necessary for a window $g$ to do phase retrieval. Additionally, we investigate the possibility of phase retrieval using real-valued windows.

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