Performance analysis of an adaptive algorithm for tracking dominant subspaces

IEEE Transactions on Signal Processing

Volumn 46, Issue 11, 1998, Pages 3023-3029

  Delmas, Jean Pierre ^a   Cardoso, Jean François ^b  

^a INSTITUT NATIONAL DES TÉLÉCOMMUNICATIONS   (France)

^b TELECOM PARISTECH   (France)

Author keywords

Adaptive batch music; Asymptotic performance analysis; Subspace tracking

Indexed keywords

EID: 33747727566     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.726815     Document Type: Article

References (22)

1. E. Moulines, P. Duhamel, J.F. Cardoso, and S. Mayrargue, "Subspace methods for blind identification of multichannel FIR filters," IEEE Trans. Signal Processing, vol. 43, pp. 516-525, Feb. 1995.
2. B. Yang, "Projection approximation subspace tracking," IEEE Trans. Signal Processing, vol. 43, pp. 97-105, Jan. 1995.
3. R.D. DeGroat et al., "Spherical subspace tracking for efficient, high performance adaptive signal processing applications," Signal Process. Special Issue Subspace Methods, Part I: Array Signal Process. Subspace Comput., vol. 50, pp. 101-121, 1996.
4. M.G. Larimore and R.J. Calvert, "Convergence studies of Thompson's unbiased adaptative spectral estimator," in Proc. 14th Asilomar Conf. Circuits Syst. Comput., Pacific Grove, CA, 1981.
5. J.F. Yang and M. Kaveh, "Adaptive eigenspace algorithms for direction or frequency estimation and tracking," IEEE Trans. Acoust., Speech, Signal Processing, vol. 36, pp. 241-251, Feb. 1988.
6. E. Oja and J. Karhunen, "On stochastic approximation of the eigenvectors and eigenvalues of the expectation of a random matrix," J. Math. Anal. Appl., vol. 106, pp. 69-84, 1985.
7. J.P. Delmas, "Performance analysis of parametrized adaptive eigensubpace algorithms," in Proc. ICASSP, Detroit, MI, May 1995, pp. 2056-2059.
8. C. Riou, T. Chonavel, and P.Y. Cochet, "Adaptive subspace estimation-Application to moving sources localization and blind channel identification," Proc. ICASSP, Atlanta, GA, May 1996, pp. 1649-1652. [9] B. Yang and F. Gersemsky, "Asymptotic distribution of recursive subspace estimators," in Proc. ICASSP, Atlanta, GA, May 1996, pp. 1764-1767.
9. P. Baldi and K. Hornik, "Neural networks and principal component analysis: Learning from examples without local minima," Neural Networks, vol. 2, pp. 53-58, 1989.
10. L. Xu, "Least mean square error reconstruction principle for selforganizing neural-net," Neural Networks, vol. 6, pp. 627-648, 1993.
11. A. Benveniste, M. Métivier, and P. Priouret, Adaptive Algorithms and Stochastic Approximation. Berlin, Germany: Springer-Verlag, 1990.
12. P.J. Bickel, C.A.J. Klaassen, Y. Ritov, and J.A. Wellner, Efficient and Adaptive Estimation for Semiparametric Models. Baltimore, MD: Johns Hopkins Univ. Press, 1993.
13. J.C. Fort and G. Pages, "Convergence of stochastic algorithms: From the the Kushner-Clark theorem to the Lyapounov functional method," Adv. Appl. Prob., vol. 28, pp. 1072-1094, 1996.
14. D.R. Brillinger, Times Series, Data Analysis, and Theory, Expanded Edition. San francisco, CA: Holden-Day, 1980.
15. T.W. Anderson, An Introduction to Multivariate Statistical Analysis, 2nd ed. New York: Wiley, 1984.
16. T. Kato, Perturbation Theory for Linear Operators. Berlin, Germany: Springer, 1995.
17. J.F. Cardoso and E. Moulines, "Asymptotic performance analysis of direction finding algorithms based on fourth-order cumulants," IEEE Trans. Signal Processing, vol. 43, pp. 214-224, Jan. 1995.
18. C.R. Rao, Linear Statistical Inference and Its Applications. New York: Wiley, 1973.
19. M. Kaveh and A.J. Barabell, "The statistical performance of the MUSIC and the Minimum-Norm algorithms in resolving plane waves in noise," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-34, pp. 331-341, Apr. 1986
20. R.O. Schmidt, "Multiple emitter location and signal parameter estimation," in Proc. RADC Spectrum Estimation Workshop, 1979, pp. 243-258.
21. P. Stoica and A. Nehorai, "MUSIC, maximum likelihood and Cramer-Rao bound," IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, pp. 720-741, May 1989.
22. J.E. Hudson, Adaptive Array Principles. Stevenage, UK: Peter Peregrinus, 1982.