Optimal joint diagonalization of complex symmetric third-order tensors. Application to separation of non circular signals

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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. © Springer-Verlag Berlin Heidelberg 2007.

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De Luigi, C., & Moreau, E. (2007). Optimal joint diagonalization of complex symmetric third-order tensors. Application to separation of non circular signals. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4666 LNCS, pp. 25–32). Springer Verlag. https://doi.org/10.1007/978-3-540-74494-8_4

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