On foundational discretization barriers in STFT phase retrieval

DOI10.1007/s00041-022-09935-5zbMath1486.94045arXiv2111.02227OpenAlexW3209535710MaRDI QIDQ2124657

Philipp Grohs, Lukas Liehr

Publication date: 11 April 2022

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.02227

zbMATH Keywords

samplinglatticesshort-time Fourier transformtime-frequency analysissignal reconstructionphase retrieval

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Sampling theory in information and communication theory (94A20)

Related Items

Non-Uniqueness Theory in Sampled STFT Phase Retrieval ⋮ Injectivity of sampled Gabor phase retrieval in spaces with general integrability conditions ⋮ The metaplectic action on modulation spaces ⋮ Stable Gabor phase retrieval in Gaussian shift-invariant spaces via biorthogonality ⋮ Metaplectic Gabor frames and symplectic analysis of time-frequency spaces ⋮ Injectivity of Gabor phase retrieval from lattice measurements

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