Skip to main content
Erschienen in: Neural Computing and Applications 3-4/2003

01.12.2003 | Original Article

A simplified approach to independent component analysis

verfasst von: Yogesh Singh, C. S. Rai

Erschienen in: Neural Computing and Applications | Ausgabe 3-4/2003

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Independent Component Analysis (ICA) is one of the fastest growing fields in the area of neural networks and signal processing. Blind Source Separation (BSS) is one of the applications of ICA. In this paper, ICA has been used for separating unknown source signals. BSS is used to extract independent signal components from their observed linear mixtures at an array of sensors. Various statistical techniques based on information theoretic and algebraic approaches exist for performing ICA. In this paper, we have used an objective function based on independence criterion of the signals. Optimisation of this objective function yields a neural algorithm along with a non-linear function for signal separation. Performance of the algorithm for artificially generated signals as well as audio signals has been evaluated.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Comon P (1994) Independent component analysis, a new concept? Signal Process 36:287–314CrossRefMATH Comon P (1994) Independent component analysis, a new concept? Signal Process 36:287–314CrossRefMATH
2.
Zurück zum Zitat Amari SI, Cichoki A, Yang H (1996) A new learning algorithm for blind signal separation. Advances in Neural Information Processing Systems, Vol 8, pp 757–763, Denver, CO Amari SI, Cichoki A, Yang H (1996) A new learning algorithm for blind signal separation. Advances in Neural Information Processing Systems, Vol 8, pp 757–763, Denver, CO
3.
Zurück zum Zitat Bell AJ, Sejnowski TJ (1995) An information–maximization approach to blind separation and blind deconvolution. Neural Computation 7:1004–1034 Bell AJ, Sejnowski TJ (1995) An information–maximization approach to blind separation and blind deconvolution. Neural Computation 7:1004–1034
4.
Zurück zum Zitat Lee T-W, Girlomi M, Sejnowski TJ (1999) Independent component analysis using an extended infomax algorithm for mixed sub-Gaussian and super-Gaussian sources. Neural Computation 11(2):409–433CrossRefMATH Lee T-W, Girlomi M, Sejnowski TJ (1999) Independent component analysis using an extended infomax algorithm for mixed sub-Gaussian and super-Gaussian sources. Neural Computation 11(2):409–433CrossRefMATH
5.
Zurück zum Zitat Singh Y, Rai CS (2002) Blind source separation: an unified approach. Neurocomputing 49(1–4):435–438 Singh Y, Rai CS (2002) Blind source separation: an unified approach. Neurocomputing 49(1–4):435–438
6.
Zurück zum Zitat Singh Y, Rai CS (2001) A non-linear function for gradient based BSS. Proc IJCNN 2001, pp 936–939, Washington DC Singh Y, Rai CS (2001) A non-linear function for gradient based BSS. Proc IJCNN 2001, pp 936–939, Washington DC
7.
Zurück zum Zitat Cardoso JF (1998) Super-symmetric decomposition of the fourth order cumulant tensor. Proc ICASSP, pp 3109–3112 Cardoso JF (1998) Super-symmetric decomposition of the fourth order cumulant tensor. Proc ICASSP, pp 3109–3112
8.
Zurück zum Zitat Cardoso JF, Laheld BH (1996) Equivariant adaptive source separation. IEEE Trans Signal Process 44(12):3017–3030CrossRef Cardoso JF, Laheld BH (1996) Equivariant adaptive source separation. IEEE Trans Signal Process 44(12):3017–3030CrossRef
9.
Zurück zum Zitat Cardoso JF (1998) Blind signal separation: statistical principal. Proc IEEE 9(10):2009–2025CrossRef Cardoso JF (1998) Blind signal separation: statistical principal. Proc IEEE 9(10):2009–2025CrossRef
10.
Zurück zum Zitat Haverinen A, Oja E (1997) A fast fixed point algorithm for independent component analysis. Neural Computation 9:1483–1492 Haverinen A, Oja E (1997) A fast fixed point algorithm for independent component analysis. Neural Computation 9:1483–1492
11.
Zurück zum Zitat Karhunan J, Oja E, Wang L, Vigario R, Joutsensalo J (1997) A class of neural networks for independent component analysis. IEEE Trans Neural Networks 8:487–504 Karhunan J, Oja E, Wang L, Vigario R, Joutsensalo J (1997) A class of neural networks for independent component analysis. IEEE Trans Neural Networks 8:487–504
12.
Zurück zum Zitat Cichoki A, Unbehauen U, Rummert E (1994) Robust learning algorithm for blind separation of signals. Electr Lett 30(17):1386–1387CrossRef Cichoki A, Unbehauen U, Rummert E (1994) Robust learning algorithm for blind separation of signals. Electr Lett 30(17):1386–1387CrossRef
13.
Zurück zum Zitat De.Lathauwer L, De.Moor B, Vandewalle J (1995) Fetal electro-cardiogram extraction by source sub-space separation. Proc HOS’95, Spain, pp 134–138 De.Lathauwer L, De.Moor B, Vandewalle J (1995) Fetal electro-cardiogram extraction by source sub-space separation. Proc HOS’95, Spain, pp 134–138
14.
Zurück zum Zitat Makeig S, Bell A, Jung TP, Sejnowskim TJ (1995) Independent component analysis of electroencephalographic data. Advances in Neural Information Processing Systems, vol 8, MIT Press Makeig S, Bell A, Jung TP, Sejnowskim TJ (1995) Independent component analysis of electroencephalographic data. Advances in Neural Information Processing Systems, vol 8, MIT Press
15.
Zurück zum Zitat Ziegaus C, Lang EW (1999) Independent component extraction of natural images based on fourth-order cumulants. ICA99, Aussois, France, pp 115–120 Ziegaus C, Lang EW (1999) Independent component extraction of natural images based on fourth-order cumulants. ICA99, Aussois, France, pp 115–120
16.
Zurück zum Zitat Bell AJ, Sejnowski TJ (1996) Edges are the ‘independent components’ of natural scenes. Advances in Neural Information Processing Systems, vol 9, MIT Press Bell AJ, Sejnowski TJ (1996) Edges are the ‘independent components’ of natural scenes. Advances in Neural Information Processing Systems, vol 9, MIT Press
17.
Zurück zum Zitat Chaumette E, Common P, Muller D (1993) “CA-based technique for radiating sources estimation: application to airport survellience. IEE Proc-F 140(6):395–402 Chaumette E, Common P, Muller D (1993) “CA-based technique for radiating sources estimation: application to airport survellience. IEE Proc-F 140(6):395–402
18.
Zurück zum Zitat Swindlehurst A, Goris M, Otterson B (1997) Some experiments with array data collected in actual urban and sub-urban environment. IEEE Workshop on Signal Processing Advances in Wireless Communication, pp 301–304 Swindlehurst A, Goris M, Otterson B (1997) Some experiments with array data collected in actual urban and sub-urban environment. IEEE Workshop on Signal Processing Advances in Wireless Communication, pp 301–304
19.
Zurück zum Zitat Anand K, Mathew G, Reddy G (1995) Blind separation of multiple co-channel BPSK signals arriving at an antenna array. IEEE Signal Process Lett 2(9):176–178CrossRef Anand K, Mathew G, Reddy G (1995) Blind separation of multiple co-channel BPSK signals arriving at an antenna array. IEEE Signal Process Lett 2(9):176–178CrossRef
20.
Zurück zum Zitat Thirion N, Mars J, Boelle JL (1996) Separation of seismic signals: a new concept based on blind algorithm. Signal Processing VIII, Theories and Applications, Triest, Italy, pp 85–88 Thirion N, Mars J, Boelle JL (1996) Separation of seismic signals: a new concept based on blind algorithm. Signal Processing VIII, Theories and Applications, Triest, Italy, pp 85–88
21.
Zurück zum Zitat Papoulis A (1991) Probability, random variables, and stochastic processes. McGraw-Hill Papoulis A (1991) Probability, random variables, and stochastic processes. McGraw-Hill
22.
Zurück zum Zitat Stuart A, Ord JK (1991) Kendal’s advanced theory of stistics. Edword Arnold Stuart A, Ord JK (1991) Kendal’s advanced theory of stistics. Edword Arnold
Metadaten
Titel
A simplified approach to independent component analysis
verfasst von
Yogesh Singh
C. S. Rai
Publikationsdatum
01.12.2003
Verlag
Springer-Verlag
Erschienen in
Neural Computing and Applications / Ausgabe 3-4/2003
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-003-0379-7

Weitere Artikel der Ausgabe 3-4/2003

Neural Computing and Applications 3-4/2003 Zur Ausgabe

Premium Partner