30 citations · 127 across the 22 of their papers we have counts for
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From completeness of discrete translates to phaseless sampling of the short-time Fourier transform
Philipp Grohs, Lukas Liehr, Irina Shafkulovska
We study the uniqueness problem in short-time Fourier transform phase retrieval by exploring a connection to the completeness problem of discrete translates. Specifically, we prove…
Phaseless sampling on square-root lattices
Philipp Grohs, Lukas Liehr
Due to its appearance in a remarkably wide field of applications, such as audio processing and coherent diffraction imaging, the short-time Fourier transform (STFT) phase retrieval…
Multi-window STFT phase retrieval: lattice uniqueness
Philipp Grohs, Lukas Liehr, Martin Rathmair
Short-time Fourier transform (STFT) phase retrieval refers to the reconstruction of a function from its spectrogram, i.e., the magnitudes of its short-time Fourier transform $V…
Non-uniqueness theory in sampled STFT phase retrieval
Philipp Grohs, Lukas Liehr
The reconstruction of a function from its spectrogram (i.e., the absolute value of its short-time Fourier transform (STFT)) arises as a key problem in several important application…