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Open AccessJournal Article

Polar coordinate based nonlinear function for frequency-domain blind source separation

TLDR
In this article, a new nonlinear function for independent component analysis to process complex-valued signals, which is used in frequency-domain blind source separation, is presented. But the difference between the two types of functions is in the assumed densities of independent components.
Abstract
This paper presents a new type of nonlinear function for independent component analysis to process complex-valued signals, which is used in frequency-domain blind source separation. The new function is based on the polar coordinates of a complex number, whereas the conventional one is based on the Cartesian coordinates. The new function is derived from the probability density function of frequency-domain signals that are assumed to be independent of the phase. We show that the difference between the two types of functions is in the assumed densities of independent components. Experimental results for separating speech signals show that the new nonlinear function behaves better than the conventional one.

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Citations
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Journal ArticleDOI

A robust and precise method for solving the permutation problem of frequency-domain blind source separation

TL;DR: By utilizing the harmonics of signals, the new method is robust even for low frequencies where DOA estimation is inaccurate, and provides an almost perfect solution to the permutation problem for a case where two sources were mixed in a room whose reverberation time was 300 ms.
Journal ArticleDOI

A Consolidated Perspective on Multimicrophone Speech Enhancement and Source Separation

TL;DR: This paper proposes to analyze a large number of established and recent techniques according to four transverse axes: 1) the acoustic impulse response model, 2) the spatial filter design criterion, 3) the parameter estimation algorithm, and 4) optional postfiltering.

A survey of convolutive blind source separation methods

TL;DR: A taxonomy is provided, wherein many of the existing algorithms for blind source separation of convolutive audio mixtures can be organized, and results from those algorithms that have been applied to real-world audio separation tasks are presented.
Journal ArticleDOI

Generalization Characteristics of Complex-Valued Feedforward Neural Networks in Relation to Signal Coherence

TL;DR: Simulation and real-world experiments demonstrate that CVNNs with amplitude-phase-type activation function show smaller generalization error than real-valued networks, such as bivariate and dual-univariate real- valued neural networks.
Journal ArticleDOI

Blind source separation based on a fast-convergence algorithm combining ICA and beamforming

TL;DR: The signal separation performance of the proposed algorithm is superior to that of the conventional ICA-based BSS method, even under reverberant conditions, and the temporal alternation between ICA and beamforming can realize fast- and high-convergence optimization.
References
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Journal ArticleDOI

An information-maximization approach to blind separation and blind deconvolution

TL;DR: It is suggested that information maximization provides a unifying framework for problems in "blind" signal processing and dependencies of information transfer on time delays are derived.
Journal ArticleDOI

Independent component analysis, a new concept?

Pierre Comon
- 01 Apr 1994 - 
TL;DR: An efficient algorithm is proposed, which allows the computation of the ICA of a data matrix within a polynomial time and may actually be seen as an extension of the principal component analysis (PCA).
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

Blind separation of convolved mixtures in the frequency domain

TL;DR: It is observed that convolved Mixing in the time domain corresponds to instantaneous mixing in the frequency domain, and convolved mixing can be inverted using simpler and more robust algorithms than the ones recently developed.
Book

Independent Component Analysis: Theory and Applications

TL;DR: This work presents a Unifying Information-Theoretic Framework for ICA, a novel and scalable framework for independent component analysis that combines supervised and unsupervised classification with ICA Mixture Models.