The Matrix Completion Method for Phase Retrieval from Fractional Fourier Transform Magnitudes
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-11-15
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Inspired by the implementation of the fractional Fourier transform (FRFT) and its applications in optics, we address the problem of reconstructing a signal from its several FRFT magnitudes (or intensities).
The matrix completion method is adopted here.
Through numerical tests, the matrix completion method is proven effective in both noisy and noise-free situations.
We also compare our method with the Gerchberg-Saxton (GS) algorithm based on FRFT.
Numerical tests show that the matrix completion method gains a certain advantage in recovering uniqueness and convergence over the GS algorithm in the noise-free case.
Furthermore, in terms of noisy signals, the matrix completion method performs robustly and adding more measurements can generally increase accuracy of recovered signals.
American Psychological Association (APA)
Luo, Qi& Wang, Hongxia. 2016. The Matrix Completion Method for Phase Retrieval from Fractional Fourier Transform Magnitudes. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1112206
Modern Language Association (MLA)
Luo, Qi& Wang, Hongxia. The Matrix Completion Method for Phase Retrieval from Fractional Fourier Transform Magnitudes. Mathematical Problems in Engineering No. 2016 (2016), pp.1-6.
https://search.emarefa.net/detail/BIM-1112206
American Medical Association (AMA)
Luo, Qi& Wang, Hongxia. The Matrix Completion Method for Phase Retrieval from Fractional Fourier Transform Magnitudes. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1112206
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112206