Name
Abstract | ||
|---|---|---|
For a given spiral, a bandwidth B can be chosen and a sequence S can be constructed on the spiral with the property that all finite energy signals having bandwidth B can be reconstructed from sampled values on S. The bandwidth can be expanded as desired, and reconstruction is attained by constructing sampling sets on interleaving spirals. This solves a problem in MRI; and the algorithm can be modified to deal with irregular sampling problems in SAR. The algorithm is a consequence of our theoretical results, which in turn were inspired by seminal work on balayage in the 1960s by Beurling (1966) and Landau (1967). Our results depend on d-dimensional Fourier frames and tiling properties of spectral synthesis sets. |
Year | DOI | Venue |
|---|---|---|
1999 | 10.1109/ICASSP.1999.758330 | Acoustics, Speech, and Signal Processing, 1999. Proceedings., 1999 IEEE International Conference |
Keywords | Field | DocType |
magnetic resonance imaging,multidimensional signal processing,radar signal processing,sequences,set theory,signal reconstruction,signal sampling,signal synthesis,spectral analysis,synthetic aperture radar,Fourier frames,MRI,SAR,bandwidth,finite energy signals,interleaving spirals,multidimensional irregular sampling algorithm,sampling sets,sequence,signal reconstruction,spectral synthesis sets,tiling properties | Set theory,Multidimensional signal processing,Mathematical optimization,Computer science,Synthetic aperture radar,Algorithm,Fourier transform,Bandwidth (signal processing),Sampling (statistics),Signal reconstruction,Interleaving | Conference |
Volume | ISSN | ISBN |
4 | 1520-6149 | 0-7803-5041-3 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| John J. Benedetto | 1 | 132 | 16.90 |
| Wu, H.-C. | 2 | 0 | 0.34 |