Name
Abstract | ||
|---|---|---|
We consider the efficient acquisition, parameter estimation, and recovery of signal ensembles that lie on a low-dimensional manifold in a high-dimensional ambient signal space. Our particular focus is on randomized, compressive acquisition of signals from the manifold generated by the transformation of a base signal by operators from a Lie group. Such manifolds factor prominently in a number of applications, including radar and sonar array processing, camera arrays, and video processing. Leveraging the fact that Lie group manifolds admit a convenient analytical characterization, we develop new theory and algorithms for: (1) estimating the Lie operator parameters from compressive measurements, and (2) recovering the base signal from compressive measurements. We validate our approach with several of numerical simulations, including the reconstruction of an affine-transformed video sequence from compressive measurements. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1109/ICASSP.2014.6854018 | Acoustics, Speech and Signal Processing |
Keywords | Field | DocType |
Lie groups,compressed sensing,parameter estimation,signal detection,Lie group manifolds,Lie operator parameter estimation,affine-transformed video sequence reconstruction,base signal transformation,camera arrays,compressive measurements,compressive sensing,high-dimensional ambient signal space,low-dimensional manifold,numerical simulations,radar,randomized compressive signal acquisition,signal ensemble recovery,sonar array processing,video processing | Radar,Lie group,Array processing,Video processing,Mathematical optimization,Computer science,Operator (computer programming),Estimation theory,Compressed sensing,Manifold | Conference |
ISSN | Citations | PageRank |
1520-6149 | 1 | 0.40 |
References | Authors | |
14 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Chinmay Hegde | 1 | 977 | 63.40 |
| Aswin C. Sankaranarayanan | 2 | 770 | 51.51 |
| Richard G. Baraniuk | 3 | 5053 | 489.23 |