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- Title
Stability estimates for phase retrieval from discrete linear canonical Gabor transformation measurements.
- Authors
Zhong, Shi; Liu, Bei; Li, Rui; Zhang, Qingyue
- Abstract
Phase retrieval gives the problem of recovering some signal from phaseless measurements. This paper mainly studies the stability estimation of phase recovery from the measurement of discrete linear canonical Gabor transformation (DLCGT). We first show that we can recover the signal x$$ x $$ on the connected components of G$$ G $$ in global phase sense. Then, we give the stability estimates results from the DLCGT measurements and the autocorrelation relation.
- Subjects
CANONICAL transformations; GABOR transforms; LENGTH measurement; AUTOCORRELATION (Statistics); TIME-frequency analysis; MEASUREMENT
- Publication
Mathematical Methods in the Applied Sciences, 2023, Vol 46, Issue 4, p3937
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.8730