DocumentCode :
2234478
Title :
On the blind separation of non-circular sources
Author :
De Lathauwer, Lieven ; De Moor, Bart
Author_Institution :
ETIS, ENSEA/UCP, Cergy-Pontoise, France
fYear :
2002
fDate :
3-6 Sept. 2002
Firstpage :
1
Lastpage :
4
Abstract :
In this paper we address the blind separation of an instantaneous complex mixture of statistically independent non-circular signals. We show that, if the sources are non-circular at order 2, by exploiting all the second-order information, the mixing matrix can be estimated up to a real orthogonal factor. This is based on a link with the Takagi factorization, for the computation of which we derive a Jacobi-type algorithm. We prove that, if the sources are non-circular at order 4, after a classical prewhitening, the remaining unitary factor can be found via a simultaneous Takagi factorization / Hermitian Eigenvalue Decomposition (EVD). We also describe a variant in which no hard prewhitening is carried out. In addition, we pay some attention to the issue of dimensionality reduction, in the case where there are fewer sources than sensors.
Keywords :
Hermitian matrices; Jacobian matrices; blind source separation; eigenvalues and eigenfunctions; independent component analysis; matrix decomposition; Hermitian EVD; Hermitian eigenvalue decomposition; Jacobi-type algorithm; Takagi factorization; mixing matrix; noncircular signal instantaneous complex mixture blind separation; noncircular source blind separation; orthogonal factor; second-order information; statistical independent component analysis; unitary factor; Eigenvalues and eigenfunctions; Equations; Jacobian matrices; Joints; Noise; Symmetric matrices; Vectors;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Signal Processing Conference, 2002 11th European
Conference_Location :
Toulouse
ISSN :
2219-5491
Type :
conf
Filename :
7072026
Link To Document :
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