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Hal
Conference object . 1989
Data sources: Hal
https://doi.org/10.1117/12.962...
Article . 1989 . Peer-reviewed
Data sources: Crossref
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Separation Of Sources Using Higher-Order Cumulants

Authors: Comon, Pierre;

Separation Of Sources Using Higher-Order Cumulants

Abstract

The problem is to recover stochastic processes from an unknown stationary linear transform. Our contribution is two-fold. First we focus on instantaneous mixtures: observation e(t) is assumed to write as a regular linear transform of the sources, x(t), as e(t)=B_0x(t). The only assumption requested is that the sources x_i(t) are mutually independent, and no additional knowledge upon their statistics is necessary provided they are not normal. Extensions to convolutional mixing are then pointed out, namely cases where e(t)=A(t)*x(t) where A(t) has a rational transfer function. Sensitive improvements to the algorithm of Giannakis et al for MA identification are included. Multivariate ARMA identification can be split intothree successive estimation problems: AR identification, monic MA identification, and estimation of B_0 in last position.

Keywords

Direction of arrival, Antenna array processing, Independent component analysis, Deconvolution, MA identification, Noise reduction, [PHYS.PHYS.PHYS-DATA-AN] Physics [physics]/Physics [physics]/Data Analysis, Statistics and Probability [physics.data-an]

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
27
Top 10%
Top 1%
Average
Green