Blind identification of autoregressive system using chaos

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 52, Issue 9, 2005, Pages 1953-1964

  Xie, Nan ^a   Leung, Henry ^a  

^a UNIVERSITY OF CALGARY   (Canada)

Author keywords

Autoregressive (AR) system; Blind identification; Channel equalization; Chaos; Cramer Rao bound (CRB); Genetic algorithm (GA); Spread spectrum (SS) communication

Indexed keywords

CHAOS THEORY; COMMUNICATION CHANNELS (INFORMATION THEORY); COMPUTER SIMULATION; GENETIC ALGORITHMS; LYAPUNOV METHODS; MATHEMATICAL MODELS; MAXIMUM LIKELIHOOD ESTIMATION; SPREAD SPECTRUM COMMUNICATION;

AUTOREGRESSIVE (AR) SYSTEM; BLIND IDENTIFICATION; CHANNEL EQUALIZATION; CRAMER-RAO BOUND (CRB) ANALYSIS;

BLIND SOURCE SEPARATION;

EID: 27144558086     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2005.852488     Document Type: Article

References (36)

1. K. Abed-Meraim, W. Qiu, and Y. Hua, "Blind system identification," Proc. IEEE, vol. 85, no. 8, pp. 1310-1322, Aug. 1997.
2. Z. Ding and Y. Li, Blind Equalization and Identification. New York: Dekker, 2001.
3. B. Maquet, M. De Courville, and P. Duhemel, "Subspace-based blind and semi-blind channel estimation for OFDM systems," IEEE Trans. Signal Process., vol. 50, no. 7, pp. 1699-1712, Jul. 2002.
4. T. Y. Al-Naffouri, A. Bahai, and A. Paulraj, "Semi-blind channel identification and equalization in OFDM: an expectation maximization approach," in Proc. VTC 2002 IEEE 56th Veh. Technol. Conf., vol. 1, Sep. 2002, pp. 13-17.
5. K. Ohtsuka, "Better m-sequence design for parameter identification based on EKF," Proc. IEE - Control Theory Applicat., vol. 145, no. 1, pp. 92-96, Jan. 1998.
6. O. Shalvi and E. Weinstein, "System identification using nonstationary signals," IEEE Trans. Signal Process., vol. 44, no. 8, pp. 2055-2063, Aug. 1996.
7. C. A. Lin and J. Y. Wu, "Blind identification with periodic modulation: a time-domain approach," IEEE Trans. Signal Process., vol. 50, pp. 2875-2881, Nov. 2002.
8. A. Doucet, C. Andrieu, and R. Urien, "Bayesian blind and semi-blind equalization of channels with Markov inputs," Proc. IEE - Vision, Image and Signal Process., vol. 148, no. 4, pp. 269-274, Aug. 2001.
9. H. Leung, "System identification using chaos with application to equalization of a chaotic modulation system," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 45, no. 3, pp. 314-320, Mar. 1998.
10. H. Leung, S. Wang, and A. M. Chan, "Blind identification of an autoregressive system using a nonlinear dynamical approach," IEEE Trans. Signal Process., vol. 48, pp. 3017-3027, Nov. 2000.
11. A. M. Chan and H. Leung, "Equalization of speech and audio signals using a nonlinear dynamic approach," IEEE Trans. Speech Audio Process., vol. 7, no. 3, pp. 356-360, May 1999.
12. M. Ciftci and D. B. Williams, "Channel equalization for multiuser chaotic communications systems," in Proc. IEEE ICASSP, vol. II, Orlando, FL, May 2002, pp. 1113-1116.
13. L. Ljung, System Identification: Theory for the User, 2nd ed: Prentice Hall PTR, 1999.
14. L. L. Scharf, Statistical Signal Process.: Detection, Estimation, and Time Series Analysis. Reading, MA: Addison-Wesley, 1990.
15. R.L. Kashyap, "Maximum likelihood identification of stochastic linear systems," IEEE Trans. Autom. Control, vol. 15, no. 1, pp. 25-34, Feb. 1970.
16. S. Cannot, D. Burshtein, and E. Weinstein, "Iterative and sequential Kalman filter-based speech enhancement algorithms," IEEE Trans. Speech Audio Process., vol. 6, no. 4, pp. 373-385, Jul. 1998.
17. H. Leung, Z. Zhu, and Z. Ding, "An aperiodic phenomenon of the extended Kalman filter in filtering noisy chaotic signals," IEEE Trans. Signal Process., vol. 48, no. 6, pp. 1807-1810, Jun. 2000.
18. D. Goldberg, Genetic Algorithm in Search, Optimization and Machine Learning. Reading, MA: Addison-Wesley, 1989.
19. K. M. Cuomo and A. V. Oppenheim, "Chaotic signals and systems for communications," in Proc. IEEE ICASSP, vol. 3, Minneapolis, MN, Apr. 1993, pp. 137-140.
20. J. M. H. Elmirghani and R. A. Cryan, "Communication using chaotic masking," in IEE Colloq. Exploiting Chaos in Signal Process., 1994, pp. 12/1-12/6.
21. H. Leung, H. Yu, and K. Murali, "Ergodic chaos-based communication scheme," Phys. Rev. E., vol. 66, no. 036 203, pp. 1-8, 2002.
22. S. J. Howard and K. Pahlavan, "Autoregressive modeling of wide-band indoor radio propagation," IEEE Trans. Commun., vol. 40, no. 9, pp. 1540-1552, Sep. 1997.
23. T. Eyceoz, A. Duel-Hallen, and H. Hallen, "Deterministic channel modeling and long range prediction of fast fading mobile radio channels," IEEE Commun. Lett., vol. 2, no. 9, pp. 254-256, Sep. 1998.
24. Y. S. Zhang and D. B. Li, "Volterra adaptive prediction of multipath fading channel," Electron. Lett., vol. 33, no. 9, pp. 754-755, Apr. 1997.
25. H. G. Schuster, Deterministic Chaos: An Introduction, 2nd ed. New York: VCH, 1988.
26. H. D. I. Abarbanel, R. Brown, and M. B. Kennel, "Lyapunov exponents in chaotic systems: their importance and their evaluation using observed data," Int. J. Mod. Phys. B, vol. 5, no. 9, pp. 1347-1375, 1991.
27. H. Leung and Z. Zhu, "Performance evaluation of EKF-based chaotic synchronization," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 48, no. 9, pp. 1118-1125, Sep. 2001.
28. V. I. Oseledets, "A multiplicative ergodic theorem. Lyapunov characteristic numbers for dynamical system," Trans. Moscow Math. Soc., vol. 19, pp. 197-231, 1968.
29. L. Arnold, Random Dynamical Systems: Springer-Verlag, 1998.
30. A. Karlsson and G. A. Margulis, "A multiplicative ergodic theorem and nonpositively curved spaces," Comm. Math. Phys., vol. 208, pp. 107-123, 1999.
31. B. Friedlander, "On the computation of the Cramer-Rao bound for ARMA parameter estimation," IEEE Trans. Acoust., Speech, Signal Process., vol. ASSP-32, no. 4, pp. 721-727, Aug. 1984.
32. B. Porat and B. Friedlander, "The exact Cramer-Rao bound for Gaussian autoregressive processes," IEEE Trans. Aerosp. Electron. Syst., vol. AES-23, no. 4, Jul. 1987.
33. T. Back, Evolutionary Algorithms in Theory and Practice. Oxford, U.K.: Oxford University Press, 1996.
34. B. A. Whitehead and T. D. Choate, "Cooperative-competitive genetic evolution of radial basis function centers and widths for time series prediction," IEEE Trans. Neural Netw., vol. 7, no. 4, pp. 869-880, Jul. 1996.
35. S. Kay, "Asymptotic maximum likelihood estimator performance for chaotic signals in noise," IEEE Trans. Signal Process., vol. 43, pp. 1009-1012, Apr. 1995.
36. N. Xie and H. Leung, "An analog multi-user spread spectrum technique for wireless home automation," IEEE Trans. Consum. Electron., vol. 48, no. 4, pp. 1016-1025, Nov. 2002.