Abstract | ||
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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 |
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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. | 1 | 29 | 17.57 |
Oppenheim, A.V. | 2 | 195 | 85.27 |
Lim, J.S. | 3 | 127 | 72.56 |