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Journal ArticleDOI

Indeterminacy and identifiability of blind identification

TLDR
In this article, a mathematical structure from which the acceptable indeterminacy is represented by an equivalence relation is formulated, and two identifiable cases are shown along with blind identification algorithms, FOBI (fourth-order blind identification), EFOBI (extended FOBI), and AMUSE algorithm.
Abstract
Blind identification of source signals is studied from both theoretical and algorithmic aspects. A mathematical structure is formulated from which the acceptable indeterminacy is represented by an equivalence relation. The concept of identifiability is then defined. Two identifiable cases are shown along with blind identification algorithms. The performance of FOBI (fourth-order blind identification), EFOBI (extended FOBI), and AMUSE algorithms is evaluated by some heuristic arguments and simulation results. It is shown that EFOBI outperforms the FOBI algorithm, and the AMUSE algorithm performs better than EFOBI in the case of nonwhite source signals. AMUSE is applied to a speech extraction problem and shown to have promising results. >

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Citations
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Journal ArticleDOI

Blind beamforming for non-gaussian signals

TL;DR: In this paper, a computationally efficient technique for blind estimation of directional vectors, based on joint diagonalization of fourth-order cumulant matrices, is presented for beamforming.
Journal ArticleDOI

A blind source separation technique using second-order statistics

TL;DR: A new source separation technique exploiting the time coherence of the source signals is introduced, which relies only on stationary second-order statistics that are based on a joint diagonalization of a set of covariance matrices.
Journal ArticleDOI

Equivariant adaptive source separation

TL;DR: A class of adaptive algorithms for source separation that implements an adaptive version of equivariant estimation and is henceforth called EASI, which yields algorithms with a simple structure for both real and complex mixtures.
Journal ArticleDOI

Convolutive blind separation of non-stationary sources

TL;DR: This work tackles the problem of source separation by explicitly exploiting the nonstationarity of the acoustic sources, and finds an FIR backward model, which generates well separated model sources.
Journal ArticleDOI

Adaptive blind signal processing-neural network approaches

TL;DR: Learning algorithms and underlying basic mathematical ideas are presented for the problem of adaptive blind signal processing, especially instantaneous blind separation and multichannel blind deconvolution/equalization of independent source signals.
References
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Journal ArticleDOI

Multiple emitter location and signal parameter estimation

TL;DR: In this article, a description of the multiple signal classification (MUSIC) algorithm, which provides asymptotically unbiased estimates of 1) number of incident wavefronts present; 2) directions of arrival (DOA) (or emitter locations); 3) strengths and cross correlations among the incident waveforms; 4) noise/interference strength.
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Array Signal Processing

TL;DR: The author explains the development of the Wiener Solution and some of the techniques used in its implementation, including Optimum Processing: Steady State Performance and theWiener Solution, which simplifies the implementation of the Covariance Matrix.
Journal ArticleDOI

Image reconstruction and restoration: overview of common estimation structures and problems

TL;DR: The problem of image reconstruction and restoration is first formulated, and some of the current regularization approaches used to solve the problem are described, and a Bayesian interpretation of the regularization techniques is given.
Proceedings ArticleDOI

Source separation using higher order moments

TL;DR: The author proposes a blind identification procedure for source signatures in array data without any a priori model for propagation or reception, that is, without directional vector parameterization, provided that the emitting sources are independent with different probability distributions.
Journal ArticleDOI

ESPRIT-estimation of signal parameters via rotational invariance techniques

TL;DR: A novel approach to the general problem of signal parameter estimation is described, and although discussed in the context of direction-of-arrival estimation, ESPRIT can be applied to a wide variety of problems.
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