Stability estimates for phase retrieval from discrete linear canonical Gabor transformation measurements

DOI10.1002/mma.8730zbMath1529.42032MaRDI QIDQ6182957

Bei Liu, Shi Zhong, Qing Yue Zhang, Rui Li

Publication date: 22 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

time-frequency analysisphase retrievaldiscrete Gabor transformlinear canonical transformation

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) General harmonic expansions, frames (42C15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Cites Work

• A fast algorithm for the linear canonical transform
• Gabor frames and time-frequency analysis of distributions
• The solution of the covariogram problem for plane \({\mathcal C}_+^2\) convex bodies
• Wigner-Ville distribution associated with the linear canonical transform
• Instantaneous frequency estimation based on the linear canonical transform
• The Wigner-Ville distribution based on the linear canonical transform and its applications for QFM signal parameters estimation
• Stability estimates for phase retrieval from discrete Gabor measurements
• Optical Wavefront Reconstruction: Theory and Numerical Methods
• The phase retrieval problem
• Linear Canonical Transformations and Their Unitary Representations

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