J. L. Lacoume and P. Ruiz, "Sources identification: A solution based on cumulants," in IEEE ASSP WorkshopV, Mineapolis, USA, August 1988.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....of multidimensional components by taking advantage of statistical independence has already been adressed in recent litterature. A non linear adaptive procedure has been proposed in [9,10] while a direct solution using explicitely cumulants was given for the case of two sources and two sensors in [11]. In contrast, we propose here a simple algebraic method to separate an arbitrary number of sources, given measurements from a larger number of sensors. THE SOURCE SEPARATION PROBLEM We are given an arbitrary array of N sensors providing samples in time and space of some random field. The ....

J.L. Lacoume, P.Ruiz, "Source Identification: A Solution Based on the Cumulants", Proc. of the 4-th ASSP Workshop on Spectral Estimation and Modeling,pp. 199-203, Aug. 1988.

....and Herault algorithm was a heuristic proposal, but it was proved in [49] that it works for symmetric pdf. To generalize that approach, Jutten et al. 47] 50] proposed another criterion based on the cross cumulant Cum 31 (x i ; x j ) Independently from the previous work, Lacoume and Ruiz [51] proposed another heuristic two step algorithm. Using the SVD decomposition of the matrix H, H = U Delta 1 2 V, they proved that the matrices U and Delta (see Eq. 16) can be estimated by a simple decorrelation, and the matrix V can be estimated by maximization of the following function: F ....

....(u i ) du Bell and Sejnowski proposed on [25] an informationmaximization approach to blind separation and blind deconvolution problem. In addition, Pham [24] proposed an independent component analysis (ICA) algorithm based on Kullback Leibner divergence. 5.1. 6 Whitening Rotation Many authors [51], 55] 75] proposed algorithms to run in two steps: The first is a whitening pre processing, where they only use the SOS. The second step is the estimation of a rotation matrix which is estimated generally by using the HOS. Among many algorithms, we will mention the algorithm of Cardoso and ....

J. L. Lacoume and P. Ruiz, "Sources identification: A solution based on cumulants," in IEEE ASSP WorkshopV, Mineapolis, USA, August 1988.

....of multidimensional components by taking advantage of statistical independence has already been adressed in recent litterature. A non linear adaptive procedure has been proposed in [9,10] while a direct solution using explicitely cumulants was given for the case of two sources and two sensors in [11]. In contrast, we propose here a simple algebraic method to separate an arbitrary number of sources, given measurements from a larger number of sensors. THE SOURCE SEPARATION PROBLEM We are given an arbitrary array of N sensors providing samples in time and space of some random field. The ....

J.L. Lacoume, P.Ruiz, "Source Identification: A Solution Based on the Cumulants", Proc. of the 4-th ASSP Workshop on Spectral Estimation and Modeling,pp. 199-203, Aug. 1988.

....of independent sources without any precise knowledge of their probability distribution. This problem has important applications in signal processing (e.g.speech analysis, radar and sonar processing, Many methods have been proposed in the literature ( 2] 3] 4] 5] 6] 7] 9] [10], 11] 13] 20] most of them are based on higher order moment statistics. Our approach is to consider the maximum likelihood solution corresponding to a given hypothetical model of sources which we shall relax later. For temporally independent (i.e. white) sources, it leads to more ....

Lacoume, J.-L., Ruiz, P. "Source identification : A solution based on the cumulants ", Proc. 4th ASSP workshop on Spectral Estimation and Modelling, Minneapolis, USA, August 1988, pp. 199-203.

....a large block of data has been recorded and is processed off line, although some of our results and ideas can certainly be generalized to the on line adaptative approach. Even in this restricted area, there have already been a large numbers of paper devoted to the subject ( 1] 3] 5] 7] [10] [12] 13] 15] 16] 17] Many of them propose an ad hoc method based on the consideration of higher order moments, although some more systematic treatments based on the likelihood and contrast ( 5] 14] and the independent components analysis ( 4] 14] have also been ....

Lacoume, J.-L., Ruiz, P. "Source identification : A solution based on the cumulants ", Proc. 4th ASSP workshop on Spectral Estimation and Modelling, Minneapolis, USA, August 1988, pp. 199-203.

....lack of any propagation model: only statistical independence of sources is assumed) which can only be solved using higher order information. There is a neuro mimetic solution in [4] and an adaptive one in [5] Solutions based on iterative annulation of cross cumulants are to be found in [6] and [7]. A solution based on the representation of 4th order cumulants by tensors is given in [8] and a reduced version obtained by tensor contraction in [9] In this paper, we propose a new formalism to handle all the 4th order cumulants of a N variate random variable. These cumulants are tensorial by ....

J.L. Lacoume, P.Ruiz, "Source Identification: A Solution Based on the Cumulants", in ref. [1], pp. 199-203.

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J. L. Lacoume and P. Ruiz, "Sources identification: A solution based on cumulants," in IEEE ASSP WorkshopV, Mineapolis, USA, August 1988.

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Laocume, J. L., and Ruiz, P., "Source Identification: A Solution Based on Cumulants", Proc. 4 ASSP Workshop Spectral Estimation Modeling, pp: 199-203, 1988.

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J.L. Lacoume, P. Ruiz, Source identification: a solution based on the cumulants, in: Proc. 4th ASSP Workshop on Spectral Estimation and Modeling, Minneapolis, MN, August 1988, pp. 199-203.

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J.-L. Lacoume and P. Ruiz, "Sources identification: a solution based on cumulants," in in Proc. IEEE ACSP Workshop V, Mineapolis, USA, 1988.

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Lacoume, J. L. "Sources identification: a solution based on the cumulants". IEEE workshop on spectrum analysis and modeling. August 1988, Mineapolis.

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