Optimal joint diagonalization of complex symmetric third-order tensors: application to separation of non circular signals

Authors:
Christophe De Luigi;Eric Moreau
Affiliations:
STD, ISITV, La Valette du Var Cedex, France;STD, ISITV, La Valette du Var Cedex, France
Venue:
ICA'07 Proceedings of the 7th international conference on Independent component analysis and signal separation
Year:
2007

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Abstract

In this paper, we address the problem of blind source separation of non circular digital communication signals. A new Jacobi-like algorithm that achieves the joint diagonalization of a set of symmetric third-order tensors is proposed. The application to the separation of non-gaussian sources using fourth order cumulants is particularly investigated. Finally, computer simulations on synthetic signals show that this new algorithm improves the STOTD algorithm.