Stable Gabor Phase Retrieval and Spectral Clustering

Philipp Grohs, Martin Rathmair

We consider the problem of reconstructing a signal $f$ from its spectrogram, i.e., the magnitudes $|V_{\phi }f|$ of its Gabor transform $$V_φf (x,y):=\int_{\mathbb{R}}f(t)e^{-π(t-x)^2}e^…