Translation uniqueness of phase retrieval and magnitude retrieval of band-limited signals

DOI10.1515/jaa-2021-2052zbMath1479.42017OpenAlexW3135914664MaRDI QIDQ2059933

Lung-Hui Chen

Publication date: 13 December 2021

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa-2021-2052

zbMATH Keywords

band-limited signalinverse Fourier transformmagnitude retrievalphase retrievalNevanlinna-Levin theoremphaseless problem

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Sturm-Liouville theory (34B24) Inverse problems for PDEs (35R30) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Cites Work

• Uniqueness results in an extension of Pauli's phase retrieval problem
• Phase retrieval for wide band signals
• Phase retrieval
• Phase retrieval techniques for radar ambiguity problems
• Phase retrieval and magnitude retrieval of entire functions
• On the Determination of the Phase of a Fourier Integral, I
• On the Determination of the Phase of a Fourier Integral, II
• The phase retrieval problem for solutions of the Helmholtz equation
• The phase retrieval problem
• Construction of time-limited functions with specified autocorrelation functions
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