Hα - A Consistent Estimator for Frequency Response Functions With Input and Output Noise

IEEE Transactions on Instrumentation and Measurement

Volumn 53, Issue 2, 2004, Pages 457-465

  Antoni, Jérôme ^a   Wagstaff, Peter ^a   Henrio, Jean Claude ^a  

^a UNIVERSITÉ DE TECHNOLOGIE DE COMPIÈGNE   (France)

Author keywords

Instrumental variable; Nonparametric estimation of frequency response functions; Periodically correlated processes

Indexed keywords

ACOUSTIC NOISE; ALGORITHMS; ASYMPTOTIC STABILITY; EIGENVALUES AND EIGENFUNCTIONS; FAST FOURIER TRANSFORMS; FUNCTIONS; MATHEMATICAL MODELS; RANDOM PROCESSES;

INSTRUMENTAL VARIABLE; NONPARAMETRIC ESTIMATION OF FREQUENCY RESPONSE FUNCTIONS;

FREQUENCY RESPONSE;

EID: 1842482185     PISSN: 00189456     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIM.2004.823314     Document Type: Article

References (22)

1. J. Schoukens and R. Pintelon, Identification of Linear Systems, New York: Pergamon, 1991.
2. I. Kollar, "On frequency-domain identification of linear systems," IEEE Trans. Instrum. Meas., vol. 42, pp. 2-6, Feb. 1993.
3. P. Guillaume, I. Kollar, and R. Pintelon, "Statistical analysis of nonparametric transfer function estimates," IEEE Trans. Instrum. Meas., vol. 45, pp. 594-600, Apr. 1996.
4. J. K. Tugnait, "Identification of multivariable stochastic linear systems via spectral analysis given time-domain data," IEEE Trans. Signal Processing, vol. 46, pp. 1459-1463, May 1998.
5. J. S. Bendat and A. G. Piersol, Random Data: Analysis & Measurement Procedures, 3rd ed, New York: Wiley, 2000.
6. L. D. Mitchell, "Improved methods for the fast fourier transform (FFT) calculation of the frequency response function," J. Mech. Design, vol. 104, pp. 277-279, 1982.
7. G. M. Jenkins and D. G. Watts, Spectral Analysis and Its Applications, New York: Emerson-Adams, 2000.
8. D. J. Ewins, Modal Testing. London, U.K.: Research Studies, 2000.
9. N.M. Maia and J. M. Silva, Theoretical and Experimental Modal Analysis. London, U.K.: Research Studies, 1997.
10. A.L. Wicks, "The H, frequency response function estimator," in Proc. 4th Int. Modal Analysis Conf., Los Angeles, CA, 1986, pp. 897-902.
11. H. G. Goyder, "Foolproof methods for frequency response measurements," in Proc. 2nd Int. Conf. Recent Advances in Structural Dynamics, Southhampton, U.K., Apr. 1984, pp. 437-446.
12. L. D. Mitchell and R. E. Cobb, "An unbiased frequency response function estimator," in Proc. 5th Int. Modal Analysis Conf., London, U.K., Apr. 1987, pp. 364-373.
13. P. R. White and W. B. Collis, "Analysis of the tls frequency response function estimator," in 9th IEEE Signal Processing Workshop Statistical Signal and Array Processing, Portland, OR, Sept. 14-16, 1998.
14. P. E. Wellstead, "Reference signal for closed-loop identification," Int. J. Control, vol. 26, pp. 945-962, 1977.
15. J. P. Norton, An Introduction to Identification, New York: Academic, 1986.
16. W. A. Gardner, Introduction to Random Processes: With Applications to Signals and Systems, New York: Macmillan, 1990.
17. M. Loève, Probability Theory. New York: Van Nostrand, 1978.
18. A. Papoulis, Signal Analysis. New York: McGraw Hill, 1977.
19. W. A. Gardner, "Identification of systems with cyclostationary input and correlated input/output measurement noise," IEEE Trans. Automat. Contr., vol. 35, pp. 449-452, Apr. 1990.
20. J. Antoni et al., Cyclostationary Modeling of Rotating Machine Vibration Signals, Mechanical Systems and Signal Processing.
21. J. Antoni, J. Danière, and F. Guillet, "Effective vibration analysis of IC engines using cyclostationarity. Part I: A methodology for condition monitoring," J. Sound Vibr., vol. 257, no. 5, pp. 815-837, 2002.
22. H. L. Hurd, "Nonparametric time series analysis for periodically correlated processes," IEEE Trans. Inform. Theory, vol. 35, pp. 350-359, Mar. 1989.