Title
Signal reconstruction from Fourier transform sign information
Abstract
In this paper, we present new results on the reconstruction of signals from only the sign of the real part of the Fourier transform. Specifically, we develop new theoretical results which state conditions under which two-dimensional signals are uniquely specified to within a scale factor with this information and show that these conditions include a broad class of signals. Furthermore, we apply this result to the problem of reconstructing two-dimensional signals from their zero crossings. We also present two algorithms for reconstructing a signal from sign information in either the time or frequency domain.
Year
DOI
Venue
1985
10.1109/TASSP.1985.1164589
Acoustics, Speech and Signal Processing, IEEE Transactions
Keywords
Field
DocType
iterations,time domain,signal processing,signal reconstruction,theorems,algorithms,interpolation,frequency domain analysis,frequency,frequency domain,fourier transformation,fourier transform,scaling factor,image reconstruction,two dimensional,fourier transforms
Signal processing,Control theory,Interpolation,Fourier transform,Artificial intelligence,Iterative reconstruction,Time domain,Frequency domain,Scale factor,Computer vision,Algorithm,Signal reconstruction,Mathematics
Journal
Volume
Issue
ISSN
33
3
0096-3518
Citations 
PageRank 
References 
29
17.57
2
Authors
3
Name
Order
Citations
PageRank
Curtis, S.12917.57
Oppenheim, A.V.219585.27
Lim, J.S.312772.56