Title
Phase retrieval of sparse signals from Fourier Transform magnitude using non-negative matrix factorization
Abstract
Signal and image reconstruction from Fourier Transform magnitude is a difficult inverse problem. Fourier transform magnitude can be measured in many practical applications, but the phase may not be measured. Since the autocorrelation of an image or a signal can be expressed as convolution of x(n) with x(-n), it is possible to formulate the inverse problem as a non-negative matrix factorization problem. In this paper, we propose a new algorithm based on the sparse non-negative matrix factorization (NNMF) to estimate the phase of a signal or an image in an iterative manner. Experimental reconstruction results are presented.
Year
DOI
Venue
2013
10.1109/GlobalSIP.2013.6737089
Global Conference Signal and Information Processing
Keywords
DocType
ISSN
convolution,correlation methods,image reconstruction,matrix decomposition,Fourier transform magnitude,NNMF,convolution,image autocorrelation,image reconstruction,inverse problem,nonnegative matrix factorization problem,phase estimation,phase retrieval,signal autocorrelation,signal reconstruction,sparse nonnegative matrix factorization,sparse signals
Conference
2376-4066
Citations 
PageRank 
References 
0
0.34
1
Authors
4
Name
Order
Citations
PageRank
Mohammad Shukri Salman1339.09
Alaa Eleyan2515.64
Zeynel Deprem300.68
A. Enis Çetin4871118.56