Phase retrieval for \(L^2([-\pi, \pi])\) via the provably accurate and noise robust numerical inversion of spectrogram measurements

DOI10.1007/s00041-022-09988-6OpenAlexW4313421353MaRDI QIDQ2686572

Aditya Viswanathan, Nada Sissouno, Michael Perlmutter, Mark A. Iwen

Publication date: 28 February 2023

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

Full work available at URL: https://arxiv.org/abs/2106.02517

zbMATH Keywords

phase retrievalptychographyspectrogram measurementsSTFT magnitude measurements

Mathematics Subject Classification ID

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 (1)

Injectivity of sampled Gabor phase retrieval in spaces with general integrability conditions

Cites Work

• Alternating projection, ptychographic imaging and phase synchronization
• Improved recovery guarantees for phase retrieval from coded diffraction patterns
• Reconstruction of bandlimited functions from unsigned samples
• Uniqueness results in an extension of Pauli's phase retrieval problem
• Phase-retrieval in shift-invariant spaces with Gaussian generator
• Phase retrieval
• Phase retrieval from local measurements: improved robustness via eigenvector-based angular synchronization
• Stable phase retrieval in infinite dimensions
• Lower Lipschitz bounds for phase retrieval from locally supported measurements
• On signal reconstruction without phase
• Phase retrieval from coded diffraction patterns
• Uniqueness of STFT phase retrieval for bandlimited functions
• Phase Retrieval with Polarization
• Introduction to Smooth Manifolds
• Fast Phase Retrieval from Local Correlation Measurements
• On the Determination of the Phase of a Fourier Integral, I
• On the Determination of the Phase of a Fourier Integral, II
• Inverting spectrogram measurements via aliased Wigner distribution deconvolution and angular synchronization
• Iterated Tikhonov regularization with a general penalty term
• Phase Retrieval via Matrix Completion

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