Name
Abstract | ||
|---|---|---|
We address the problem of phase retrieval from Fourier transform magnitude spectrum for continuous-time signals that lie in a shift-invariant space spanned by integer shifts of a generator kernel. The phase retrieval problem for such signals is formulated as one of reconstructing the combining coefficients in the shift-invariant basis expansion. We develop sufficient conditions on the coefficients and the bases to guarantee exact phase retrieval, by which we mean reconstruction up to a global phase factor. We present a new class of discrete-domain signals that are not necessarily minimum-phase, but allow for exact phase retrieval from their Fourier magnitude spectra. We also establish Hilbert transform relations between log-magnitude and phase spectra for this class of discrete signals. It turns out that the corresponding continuous-domain counterparts need not satisfy a Hilbert transform relation; notwithstanding, the continuous-domain signals can be reconstructed from their Fourier magnitude spectra. We validate the reconstruction guarantees through simulations for some important classes of signals such as bandlimited signals and piecewise-smooth signals. We also present an application of the proposed phase retrieval technique for artifact-free signal reconstruction in frequency-domain optical-coherence tomography (FDOCT). |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1109/TSP.2015.2481871 | Signal Processing, IEEE Transactions |
Keywords | Field | DocType |
Hilbert transform,Phase retrieval,frequency-domain optical-coherence tomography,minimum-phase signals,shift-invariant space | Iterative reconstruction,Phase factor,Mathematical optimization,Phase retrieval,Bandlimiting,Fourier transform,Invariant (mathematics),Hilbert transform,Mathematics,Signal reconstruction | Journal |
Volume | Issue | ISSN |
64 | 2 | 1053-587X |
Citations | PageRank | References |
8 | 0.54 | 27 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Basty Ajay Shenoy | 1 | 16 | 2.44 |
| Satish Mulleti | 2 | 8 | 2.23 |
| Chandra Sekhar Seelamantula | 3 | 48 | 7.95 |