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US 7,079,988 B2Granted
Method for the higher-order blind identification of mixtures of sources
AssigneeThales
InventorsLaurent Albera, Anne Ferreol, Pascal Chevalier, Pierre Comon
Life of this patent
Estimating the term…
Abstract
A method for the blind identification of sources within a system having P sources and N receivers comprises at least one step for the identification of the matrix of the direction vectors of the sources from the information proper to the direction vectors ap of the sources contained redundantly in the m=2q order circular statistics of the vector of the observations received by the N receivers. Application to a communications network.
Claims19
A method of blind identification of sources within a system including P sources and N receivers, comprising the steps of:
- identifying the matrix of direction vectors of the sources from the information proper to the direction vectors ap of the sources contained redundantly in the m=2q order circular statistics of the vector of the observations received by the N receivers,
- wherein the m=2q order circular statistics are expressed according to a full-rank diagonal matrix of the autocumulants of the sources and a matrix representing the juxtaposition of the direction vectors of the sources as follows:
- Cm,x=Aq ζm,s AqH
- where
- ζ
- m
- ,
- s
- =
- diag
-
- (
- [
- C
- 1
- ,
- 1
- ,
- …
-
- ,
- 1
- ,
- s
- 1
- ,
- 1
- ,
- …
-
- ,
- 1
- ,
- …
-
- ,
- C
- P
- ,
- P
- ,
- …
-
- ,
- P
- ,
- s
- P
- ,
- P
- ,
- …
-
- ,
- P
- ]
- )
- is the full-rank diagonal matrix of the m=2q order autocumulants
- C
- p
- ,
- p
- ,
- …
-
- ,
- p
- ,
- s
- p
- ,
- p
- ,
- …
-
- ,
- p
- des sources, sized (P×P), and where
- A
- q
- =
- [
- a
- 1
- ⊗
- (
- q
- -
- 1
- )
- ⊗
- a
- 1
- *
-
-
- …
-
-
- a
- p
- ⊗
- (
- q
- -
- 1
- )
- ⊗
- a
- p
- *
- ]
- ,
- sized (Nq×P) and assumed to be of full rank, represents the juxtaposition of the P column vectors
- [
- a
- p
- ⊗
- (
- q
- -
- 1
- )
- ⊗
- a
- p
- *
- ]
- .
126 more elements
Dependencies are inferred from the claim text.