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Source separation using single channel ICA

Source separation using single channel ICA
Source separation using single channel ICA
Many researchers have recently used independent component analysis (ICA) to generate codebooks or features for a single channel of data. We examine the nature of these codebooks and identify when such features can be used to extract independent components from a stationary scalar time series. This question is motivated by empirical work that suggests that single channel ICA can sometimes be used to separate out important components from a time series. Here we show that as long as the sources are reasonably spectrally disjoint then we can identify and approximately separate out individual sources. However, the linear nature of the separation equations means that when the sources have substantially overlapping spectra both identification using standard ICA and linear separation are no longer possible.
blind source separation, independent component analysis, single channel ICA, sparse coding
0165-1684
1819-1832
Davies, M.
ad39b2b8-121a-49ee-8e4a-daf601ba7fe6
James, C.J.
b3733b1f-a6a1-4c9b-b75c-6191d4142e52
Davies, M.
ad39b2b8-121a-49ee-8e4a-daf601ba7fe6
James, C.J.
b3733b1f-a6a1-4c9b-b75c-6191d4142e52

Davies, M. and James, C.J. (2007) Source separation using single channel ICA. Signal Processing, 87 (8), 1819-1832. (doi:10.1016/j.sigpro.2007.01.011).

Record type: Article

Abstract

Many researchers have recently used independent component analysis (ICA) to generate codebooks or features for a single channel of data. We examine the nature of these codebooks and identify when such features can be used to extract independent components from a stationary scalar time series. This question is motivated by empirical work that suggests that single channel ICA can sometimes be used to separate out important components from a time series. Here we show that as long as the sources are reasonably spectrally disjoint then we can identify and approximately separate out individual sources. However, the linear nature of the separation equations means that when the sources have substantially overlapping spectra both identification using standard ICA and linear separation are no longer possible.

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More information

Published date: 2007
Keywords: blind source separation, independent component analysis, single channel ICA, sparse coding

Identifiers

Local EPrints ID: 49609
URI: http://eprints.soton.ac.uk/id/eprint/49609
ISSN: 0165-1684
PURE UUID: 86abc4c1-838a-4648-b042-f8039f18303a

Catalogue record

Date deposited: 22 Nov 2007
Last modified: 15 Mar 2024 09:57

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Contributors

Author: M. Davies
Author: C.J. James

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