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
1819-1832
Davies, M.
ad39b2b8-121a-49ee-8e4a-daf601ba7fe6
James, C.J.
b3733b1f-a6a1-4c9b-b75c-6191d4142e52
2007
Davies, M.
ad39b2b8-121a-49ee-8e4a-daf601ba7fe6
James, C.J.
b3733b1f-a6a1-4c9b-b75c-6191d4142e52
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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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
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Date deposited: 22 Nov 2007
Last modified: 15 Mar 2024 09:57
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Author:
M. Davies
Author:
C.J. James
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