Title | ||
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On Two-Dimensional Hilbert Integral Equations, Generalized Minimum-Phase Signals, and Phase Retrieval. |
Abstract | ||
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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 Shenoy | 1 | 16 | 2.44 |
Satish Mulleti | 2 | 12 | 2.99 |
Chandra Sekhar Seelamantula | 3 | 142 | 37.43 |