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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Cardoso, J.-F., Souloumiac, A.: Blind beamforming for non Gaussian signals. IEE Proceedings-F 140, 362–370 (1993)
Comon, P.: Independent Component Analysis, A New Concept? Signal Processing 36, 287–314 (1994)
De Lathauwer, L., De Moor, B., Vanderwalle, J.: Independent Component Analysis and (Simultaneous) Third-Order Tensor Diagonalization. IEEE Transactions on Signal Processing 49, 2262–2271 (2001)
Moreau, E.: A Generalization of Joint-Diagonalization Criteria for Source Separation. IEEE Transactions on Signal Processing 49, 530–541 (2001)
De Lathauwer, L., De Moor, B., Vanderwalle, J.: ICA techniques for more sources than sensors. In: Proceeding of the IEEE Signal Processing Workshop on Higher-Order Statistics (HOS 1999), June 1999, Caesarea, Israel, pp. 121–124 (1999)
De Lathauwer, L., De Moor, B.: On the Blind Separation of Non-circular Sources. In: Proceeding of EUSIPCO-02, (September 2002), Toulouse, France, vol. II, pp. 99–102 (2002)
Chevalier, P.: Optimal Ttime invariant and widely linear spatial filtering for radiocommunications. In: Proc. EUSIPCO 1996, Trieste, Italy, September 1996, pp. 559–562 (1996)
Chevalier, P.: Optimal array processing for non stationary signals. In Proc. ICASSP 1996, Atlanta, pp. 2868–2871 (May 1996)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
De Luigi, C., Moreau, E. (2007). Optimal Joint Diagonalization of Complex Symmetric Third-Order Tensors. Application to Separation of Non Circular Signals. In: Davies, M.E., James, C.J., Abdallah, S.A., Plumbley, M.D. (eds) Independent Component Analysis and Signal Separation. ICA 2007. Lecture Notes in Computer Science, vol 4666. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74494-8_4
Download citation
DOI: https://doi.org/10.1007/978-3-540-74494-8_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-74493-1
Online ISBN: 978-3-540-74494-8
eBook Packages: Computer ScienceComputer Science (R0)