Abstract
This paper addresses the problem of the non-unitary approximate joint block diagonalization (NU − JBD) of matrices. Such a problem occurs in various fields of applications among which blind separation of convolutive mixtures of sources and wide-band signals array processing. We present a new algorithm for the non-unitary joint block-diagonalization of complex matrices based on a gradient-descent algorithm whereby the optimal step size is computed algebraically at each iteration as the rooting of a 3rd-degree polynomial. Computer simulations are provided in order to illustrate the effectiveness of the proposed algorithm.
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Ghennioui, H., Thirion-Moreau, N., Moreau, E., Adib, A., Aboutajdine, D. (2007). Non Unitary Joint Block Diagonalization of Complex Matrices Using a Gradient Approach. 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_26
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DOI: https://doi.org/10.1007/978-3-540-74494-8_26
Publisher Name: Springer, Berlin, Heidelberg
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