Very fast blind source separation by signal to noise ratio based stopping threshold for the SHIBBS/SJAD algorithm

This paper works on joint approximate diagonalization of simplified fourth order cumulant matrices for very fast and large scale blind separation of instantaneous mixing model sources. The JADE algorithm is widely accepted but only limited to small scale separation tasks. The SHIBBS algorithm calcul...

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Main Authors: Liu, Xianhua, Cardoso, J., Randall, R.
Format: Journal Article
Published: ELSEVIER 2010
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/17428
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author Liu, Xianhua
Cardoso, J.
Randall, R.
author_facet Liu, Xianhua
Cardoso, J.
Randall, R.
author_sort Liu, Xianhua
building Curtin Institutional Repository
collection Online Access
description This paper works on joint approximate diagonalization of simplified fourth order cumulant matrices for very fast and large scale blind separation of instantaneous mixing model sources. The JADE algorithm is widely accepted but only limited to small scale separation tasks. The SHIBBS algorithm calculates a fraction of the fourth order cumulant set and avoids eigenmatrix decomposition to reduce calculation cost. However, it was seen to be slower than JADE at the time of its first publication and is hence less known. On the other hand, the SJAD algorithm using the same approach is shown to be very fast. This paper studies the iteration convergence criterion and proposes to use a signal to noise ratio based iteration stopping threshold approach. The improved SHIBBS/SJAD algorithm is very fast, and capable of large scale separation. Experimental separation comparisons between the SHIBBS/SJAD and FastICA are presented.
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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T07:21:21Z
publishDate 2010
publisher ELSEVIER
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spelling curtin-20.500.11937-174282017-09-13T15:45:17Z Very fast blind source separation by signal to noise ratio based stopping threshold for the SHIBBS/SJAD algorithm Liu, Xianhua Cardoso, J. Randall, R. Independent component analysis Blind source separation Signal to noise ratio Joint approximate diagonalization Fourth order cumulant matrices This paper works on joint approximate diagonalization of simplified fourth order cumulant matrices for very fast and large scale blind separation of instantaneous mixing model sources. The JADE algorithm is widely accepted but only limited to small scale separation tasks. The SHIBBS algorithm calculates a fraction of the fourth order cumulant set and avoids eigenmatrix decomposition to reduce calculation cost. However, it was seen to be slower than JADE at the time of its first publication and is hence less known. On the other hand, the SJAD algorithm using the same approach is shown to be very fast. This paper studies the iteration convergence criterion and proposes to use a signal to noise ratio based iteration stopping threshold approach. The improved SHIBBS/SJAD algorithm is very fast, and capable of large scale separation. Experimental separation comparisons between the SHIBBS/SJAD and FastICA are presented. 2010 Journal Article http://hdl.handle.net/20.500.11937/17428 10.1016/j.ymssp.2010.03.009 ELSEVIER restricted
spellingShingle Independent component analysis
Blind source separation
Signal to noise ratio
Joint approximate diagonalization
Fourth order cumulant matrices
Liu, Xianhua
Cardoso, J.
Randall, R.
Very fast blind source separation by signal to noise ratio based stopping threshold for the SHIBBS/SJAD algorithm
title Very fast blind source separation by signal to noise ratio based stopping threshold for the SHIBBS/SJAD algorithm
title_full Very fast blind source separation by signal to noise ratio based stopping threshold for the SHIBBS/SJAD algorithm
title_fullStr Very fast blind source separation by signal to noise ratio based stopping threshold for the SHIBBS/SJAD algorithm
title_full_unstemmed Very fast blind source separation by signal to noise ratio based stopping threshold for the SHIBBS/SJAD algorithm
title_short Very fast blind source separation by signal to noise ratio based stopping threshold for the SHIBBS/SJAD algorithm
title_sort very fast blind source separation by signal to noise ratio based stopping threshold for the shibbs/sjad algorithm
topic Independent component analysis
Blind source separation
Signal to noise ratio
Joint approximate diagonalization
Fourth order cumulant matrices
url http://hdl.handle.net/20.500.11937/17428