Blind source separation of chaotic laser signals by independent component analysis

doi:10.1364/OE.16.000725

Blind source separation of chaotic laser signals by independent component analysis

Masahiko Kuraya, Atsushi Uchida, Shigeru Yoshimori, and Ken Umeno »View Author Affiliations

Optics Express, Vol. 16, Issue 2, pp. 725-730 (2008)
http://dx.doi.org/10.1364/OE.16.000725

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Abstract
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References (15)
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Abstract

We experimentally demonstrate blind source separation of chaos generated in Nd:YVO₄ microchip solid-state lasers by using independent component analysis. Two chaotic source signals are linearly mixed with randomly selected mixing ratio and independent component analysis is applied for the mixed signals to extract the source signals. We investigate blind source separation of many chaotic laser signals and succeed 100- signal separation of chaotic temporal waveforms. Longer temporal waveforms are required with increase of the number of mixed signals.

OCIS Codes
(060.4510) Fiber optics and optical communications : Optical communications
(140.1540) Lasers and laser optics : Chaos
(190.3100) Nonlinear optics : Instabilities and chaos

ToC Category:
Lasers and Laser Optics

History
Original Manuscript: October 29, 2007
Revised Manuscript: December 29, 2007
Manuscript Accepted: January 3, 2008
Published: January 9, 2008

Citation
Masahiko Kuraya, Atsushi Uchida, Shigeru Yoshimori, and Ken Umeno, "Blind source separation of chaotic laser signals by independent component analysis," Opt. Express 16, 725-730 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-2-725

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References

I. Fischer, O. Hess, W. Elsäßer, and E. Göbel, "High-dimensional chaotic dynamics of an external cavity semiconductor laser," Phys. Rev. Lett. 73,2188-2191 (1994). [CrossRef] [PubMed]
J.-Y. Ko, K. Otsuka, and T. Kubota, "Quantum-noise-induced order in lasers placed in chaotic oscillation by frequency-shifted feedback," Phys. Rev. Lett. 86,4025-4028 (2001). [CrossRef] [PubMed]
M. P. Kennedy, R. Rovatti, and G. Setti, "Chaotic Electronics in Telecommunications," CRC Press, Boca Raton, 2000.
K. Umeno and A. Yamaguchi, "Construction of optimal chaotic spreading sequence using Lebesgue spectrum filter," IEICE Trans. FundamentalsE 85-A,849-852 (2002).
K. Umeno, "Independent component analysis of mixed chaotic signals for communications systems," Nonlinear Phenom. Complex Syst. 10,170-175 (2007).
Y. Liu and P. Davis, "Dual synchronization of chaos," Phys. Rev. E 61,R2176-R2179 (2000). [CrossRef]
E. M. Shahverdiev, S. Sivaprakasam, and K. A. Shore, "Dual and dual-cross synchronizations in chaotic systems," Opt. Commun. 216,179-183 (2003). [CrossRef]
A. Uchida, M. Kawano, and S. Yoshimori, "Dual synchronization of chaos in Colpitts electronic oscillators and its applications for communications," Phys. Rev. E 68, 056207-1—056207-11 (2003). [CrossRef]
P. Arena, A. Buscarino, L. Fortuna, and M. Frasca, "Separation and synchronization of piecewise linear chaotic systems," Phys. Rev. E 74, 026212-1—026212-11 (2006). [CrossRef]
S. Sano, A. Uchida, S. Yoshimori, and R. Roy, "Dual synchronization of chaos in Mackey-Glass electronic circuits with time-delayed feedback," Phys. Rev. E 75, 016207-1—016207-6 (2007). [CrossRef]
A. Uchida, S. Kinugawa, T. Matsuura, and S. Yoshimori, "Dual synchronization of chaos in microchip lasers," Opt. Lett. 28,19-21 (2003). [CrossRef] [PubMed]
A. Uchida, S. Kinugawa, T. Matsuura, and S. Yoshimori, "Dual synchronization of chaos in one-way coupled microchip lasers," Phys. Rev. E 67, 026220-1—026220-8 (2003). [CrossRef]
L. Molgedey and H. G. Schuster, "Separation of a mixture of independent signals using time delayed correlations," Phys. Rev. Lett. 72,3634-3637 (1994). [CrossRef] [PubMed]
A. Hyvärinen, J. Karhunen, and E. Oja, Independent Component Analysis (John Wiley and Sons, New York, 2001). [CrossRef]
A. Hyvärinen and E. Oja, "A fast fixed-point algorithm for independent component analysis," Neural Comput. 9,1483-1492 (1997). [CrossRef]

E

K. Umeno and A. Yamaguchi, "Construction of optimal chaotic spreading sequence using Lebesgue spectrum filter," IEICE Trans. FundamentalsE 85-A,849-852 (2002).

Neural Comput.

A. Hyvärinen and E. Oja, "A fast fixed-point algorithm for independent component analysis," Neural Comput. 9,1483-1492 (1997). [CrossRef]

Nonlinear Phenom. Complex Syst.

K. Umeno, "Independent component analysis of mixed chaotic signals for communications systems," Nonlinear Phenom. Complex Syst. 10,170-175 (2007).

Opt. Commun.

E. M. Shahverdiev, S. Sivaprakasam, and K. A. Shore, "Dual and dual-cross synchronizations in chaotic systems," Opt. Commun. 216,179-183 (2003). [CrossRef]

Opt. Lett.

A. Uchida, S. Kinugawa, T. Matsuura, and S. Yoshimori, "Dual synchronization of chaos in microchip lasers," Opt. Lett. 28,19-21 (2003). [CrossRef] [PubMed]

Phys. Rev. E

Y. Liu and P. Davis, "Dual synchronization of chaos," Phys. Rev. E 61,R2176-R2179 (2000). [CrossRef]

Phys. Rev. Lett.

I. Fischer, O. Hess, W. Elsäßer, and E. Göbel, "High-dimensional chaotic dynamics of an external cavity semiconductor laser," Phys. Rev. Lett. 73,2188-2191 (1994). [CrossRef] [PubMed]
J.-Y. Ko, K. Otsuka, and T. Kubota, "Quantum-noise-induced order in lasers placed in chaotic oscillation by frequency-shifted feedback," Phys. Rev. Lett. 86,4025-4028 (2001). [CrossRef] [PubMed]
L. Molgedey and H. G. Schuster, "Separation of a mixture of independent signals using time delayed correlations," Phys. Rev. Lett. 72,3634-3637 (1994). [CrossRef] [PubMed]

Other

A. Hyvärinen, J. Karhunen, and E. Oja, Independent Component Analysis (John Wiley and Sons, New York, 2001). [CrossRef]
A. Uchida, S. Kinugawa, T. Matsuura, and S. Yoshimori, "Dual synchronization of chaos in one-way coupled microchip lasers," Phys. Rev. E 67, 026220-1—026220-8 (2003). [CrossRef]
M. P. Kennedy, R. Rovatti, and G. Setti, "Chaotic Electronics in Telecommunications," CRC Press, Boca Raton, 2000.
A. Uchida, M. Kawano, and S. Yoshimori, "Dual synchronization of chaos in Colpitts electronic oscillators and its applications for communications," Phys. Rev. E 68, 056207-1—056207-11 (2003). [CrossRef]
P. Arena, A. Buscarino, L. Fortuna, and M. Frasca, "Separation and synchronization of piecewise linear chaotic systems," Phys. Rev. E 74, 026212-1—026212-11 (2006). [CrossRef]
S. Sano, A. Uchida, S. Yoshimori, and R. Roy, "Dual synchronization of chaos in Mackey-Glass electronic circuits with time-delayed feedback," Phys. Rev. E 75, 016207-1—016207-6 (2007). [CrossRef]

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