Inverting Spectrogram Measurements via Aliased Wigner Distribution Deconvolution and Angular Synchronization

Michael Perlmutter, Sami Merhi, Aditya Viswanathan +1

We propose a two-step approach for reconstructing a signal $\mathbf{x}\in {\mathbb{C}}^d$ from subsampled short-time Fourier transform magnitude (spectogram) measurements: First, we use…