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Blind source separation-semiparametric statistical approach

IEEE Transactions on Signal Processing, 1997
The semiparametric statistical model is used to formulate the problem of blind source separation. The method of estimating functions is applied to this problem. It is shown that an estimator of the mixing matrix or its learning version can be described in terms of an estimating function. The statistical efficiencies of these algorithms are studied. The
null Shun-Ichi Amari, J.-F. Cardoso
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Blind signal separation: statistical principles

Proceedings of the IEEE, 1998
Blind signal separation (BSS) and independent component analysis (ICA) are emerging techniques of array processing and data analysis that aim to recover unobserved signals or "sources" from observed mixtures (typically, the output of an array of sensors), exploiting only the assumption of mutual independence between the signals.
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Source separation using higher order statistics

Journal of Atmospheric and Terrestrial Physics, 1992
Abstract A large number of source separation algorithms have been developed using the second order statistics of the observed data and a priori knowledge of the model. Here we give a maximum likelihood solution based on the second order and higher order statistics of the data. This new algorithm is illustrated on simulated data.
J.L. Lacoume, M. Gaeta, W. Kofman
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Weak Convergence of Distributions of Separable Statistics

Theory of Probability & Its Applications, 1998
Summary: This paper focuses on weak limits (as the number of summands grows) of distributions of separable statistics taking values in locally compact Hausdorff Abelian groups. We consider a general method of deriving limit theorems for separable statistics that is applicable to any schemes.
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Statistical Control of Electrostatic Separation Processes

IEEE Industry Applications Magazine, 2010
The aim of this article is to point out the characteristics of Shewhart and CUSUM charts when applied to electrostatic separation processes and validate their ability to detect special events that may be indicators of out-of-control situations. This article also shows how the effectiveness of statistical process control (SPC) can be improved by using ...
Khouira Senouci   +4 more
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Blind source separation using order statistics

Signal Processing, 2005
This paper shows the possibility to blindly separate instantaneous mixtures of sources by means of a criterion exploiting order statistics. Properties of higher order statistics and second-order methods are first underlined. Then a brief description of the order statistics shows that they gather all these properties and a new criterion is proposed ...
Jani Even, Eric Moisan
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Statistics of quasi-energy separations in chaotic systems

Physical Review B, 1985
summary, this work confirms that the quasi-energy nearest-neighbor spacings distribution of the kicked rotor is Poissonian and therefore is similar to the corresponding dis-tribution for energy levels spacing in the one-dimensional localization problem. This is further evidence for the simi-larity between these two problems.
, Feingold   +3 more
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Statistical analysis of a signal separation method based on second-order statistics

IEEE Transactions on Signal Processing, 2001
This paper explores an existing method for signal separation, which is based on second order statistics. Here, statistical analysis of a generalized version of the original algorithm is given. The generalized method includes a weighting matrix, and a result of the statistical analysis is that the best possible weighting is found.
T. Gustafsson, U. Lindgren, H. Sahlin
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Limit Theorems for a Class of Separable Statistics

Theory of Probability & Its Applications, 1986
See the review in Zbl 0569.62011.
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Statistical theory of nonferrous metal separator performance

IEEE Transactions on Magnetics, 1978
The performance of the ramp-type nonferrous metal separator is analyzed on the basis of statistical considerations involving the probability of collisions between metal and nonmetal particles and entrapment of metal particles by nonmetal particles. A general mathematical theory is developed which allows calculation of grade and recovery for single- and
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