Name
Abstract | ||
|---|---|---|
The blind decomposition of the observations, as a set of additive components of simpler structure, is a problem with many applications in scientific and practical fields. Our study assumes that the component signals are of bounded nature, and relies on the geometric decomposition of the convex set that supports the observations as a Minkowski direct sum of the convex sets that support the components. This last property, which is weaker than the mutual independence of the additive components of the observations, is sufficient for the essential identifiability of the bounded and indecomposable components. In practice, it is usual that the components lie in one-dimensional complex subspaces. Therefore, for this case, we describe a sequential method for their recovery. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1109/ICASSP.2010.5495314 | 2010 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING |
Keywords | Field | DocType |
Bounded component analysis, independent component analysis, blind signal extraction | Mathematical optimization,Identifiability,Direct sum,Convex set,Linear subspace,Minkowski space,Independent component analysis,Indecomposable module,Mathematics,Bounded function | Conference |
ISSN | Citations | PageRank |
1520-6149 | 7 | 0.51 |
References | Authors | |
5 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sergio Cruces | 1 | 206 | 19.05 |
| Iván Durán | 2 | 10 | 1.58 |
| Auxiliadora Sarmiento | 3 | 28 | 4.64 |
| Pablo Aguilera-Bonet | 4 | 20 | 3.15 |