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IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences 2008 E91-A(5):1265-1267; doi:10.1093/ietfec/e91-a.5.1265
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Copyright © 2008 The Institute of Electronics, Information and Communication Engineers

Regular Section -- Letters -- Digital Signal Processing

A Simple Adaptive Algorithm for Principle Component and Independent Component Analysis*

Hyun-Chool SHIN1, Hyoung-Nam KIM2 and Woo-Jin SONG3

1 The author is with School of Electronics Engineering, College of Information Technology, Soongsil Univ., Seoul, Republic of Korea. E-mail: shinhc{at}ssu.ac.kr, 2 The author is with Department of Electronic and Electrical Engineering, Pusan National Univ., Busan, Republic of Korea., 3 The author is with Division of Electronics and Computer Engineering, Pohang University of Science and Technology (POSTECH), Pohang, Republic of Korea.

In this letter we propose a simple adaptive algorithm which solves the unit-norm constrained optimization problem. Instead of conventional parameter norm based normalization, the proposed algorithm incorporates single parameter normalization which is computationally much simpler. The simulation results illustrate that the proposed algorithm performs as good as conventional ones while being computationally simpler.

Key Words: constrained optimization, unit-norm, principle component analysis, independent component analysis


Manuscript received July 2, 2007. Manuscript revised November 18, 2007.

* This work was supported by the Soongsil University Research Fund.

References

[1] B. Widrow and S.D. Sterns, Adaptive Signal Processing, Prentice Hall, Englewood Cliffs, NJ, 1985.

[2] A. Benveniste, M. Metivier, and P. Priouret, Adapive Algorithms and Stochstic Approximation, Springer-Verlag, New York, 1990.

[3] S. Haykin, Adaptive Filter Theory, Prentice Hall, Englewood Cliffs, NJ, 2002.

[4] A.H. Sayed, Fundamentals of Adaptive Filtering, Prentice Hall, Englewood Cliffs, NJ, 2003.

[5] S.C. Douglas, S. Amari, and S.Y. Kung, "On gradient adaptation with uni-norm constraints," IEEE Trans. Signal Process., vol.48, no.6, pp.1843–1847, June 2000.

[6] P. Comon, "Independent component analysis: A new concept?," Signal Process., vol.36, no.3, pp.287–314, April 1994.

[7] S.C. Douglas and A. Cichocki, "Neural networks for blind decorrela-tion of signals," IEEE Trans. Signal Process., vol.45, no.11, pp.2829–2842, Nov. 1997.

[8] A. Hyvarinen and E. Oja, "Independent component analysis by general nonlinear Hebbian-like learning rules," Signal Process., vol.64, no.3, pp.301–313, Feb. 1998.

[9] H.-N. Kim and W.-J. Song, "Unbiased equation-error adaptive IIR filtering based on monic normalization," IEEE Signal Process. Lett., vol.6, no.2, pp.35–37, Feb. 1999.


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This Article
Right arrow Abstract Freely available
Right arrow Full Text (PDF)
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Right arrow Alert me if a correction is posted
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Right arrow Articles by SHIN, H.-C.
Right arrow Articles by SONG, W.-J.
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What's this?