Title
On Two-Dimensional Hilbert Integral Equations, Generalized Minimum-Phase Signals, and Phase Retrieval.
Abstract
One-dimensional (1-D) causal signals admit Hilbert integral relations between the real and imaginary parts of their Fourier spectra. For 1-D minimum-phase signals, the log-magnitude and phase spectra also admit such Hilbert relations. In this paper, we extend these results to 2-D signals. We first establish the Hilbert integral equations for 2-D first-quadrant signals. For continuous-domain 2-D si...
Year
DOI
Venue
2018
10.1109/TSP.2018.2844185
IEEE Transactions on Signal Processing
Keywords
Field
DocType
Integral equations,Transfer functions,Image reconstruction,Imaging,Fourier transforms,Mathematical model
Iterative reconstruction,Inverse,Phase retrieval,Control theory,Pure mathematics,Integral equation,Fourier transform,Transfer function,Hilbert transform,Mathematics,Minimum phase
Journal
Volume
Issue
ISSN
66
14
1053-587X
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Basty Ajay Shenoy1162.44
Satish Mulleti2122.99
Chandra Sekhar Seelamantula314237.43