Nonparametric frequency response function estimators based on nonlinear averaging techniques

IEEE Transactions on Instrumentation and Measurement

Volumn 41, Issue 6, 1992, Pages 739-746

  Guillaume, Patrick ^a   Pintelon, Rik ^a   Schoukens, Johan ^a  

^a VRIJE UNIVERSITEIT BRUSSEL   (Belgium)

Author keywords

closed loop measurements; function estimators; nonparametric transfer; spectral analysis; System identification

Indexed keywords

ERROR COMPENSATION; ESTIMATION; FOURIER TRANSFORMS; IDENTIFICATION (CONTROL SYSTEMS); LINEAR CONTROL SYSTEMS; SPECTRAL ANALYSIS; TRANSFER FUNCTIONS;

FREQUENCY RESPONSE FUNCTION; LINEAR SYSTEMS; NONPARAMETRIC TRANSFER FUNCTION ESTIMATORS; SYSTEM IDENTIFICATION;

FREQUENCY RESPONSE;

EID: 0026985396     PISSN: 00189456     EISSN: 15579662     Source Type: Journal    
DOI: 10.1109/19.199393     Document Type: Article

References (23)

1. J. S. Bendat & A. G. Piersol, Engineering Applications of Correlation and Spectral Analysis. New York: A Wiley-Interscience Publication, 1980.
2. P. Guillaume, J. Schoukens, R. Pintelon, and I. Kollar, “Crest-factor minimization using nonlinear Chebyshev approximation methods,” IEEE Trans. Instrum. Meas., vol. 40, 1991.
3. J. Schoukens, P. Guillaume, and R. Pintelon, “Design of multisine excitations,” IEE Control 91 Conference, March 25-28, 1991, Edinburgh, Great Britain.
4. A. Van den Bos, “A new method for synthesis of low-peak-factor signals,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-35, pp. 120–122, Jan. 1987.
5. E. Van der Ouderaa, J. Schoukens, and J. Renneboog, “Peak factor minimization of input and output signals of linear systems,” IEEE Trans. Instrum. Meas, vol. 37, pp. 207–212, June 1988.
6. J. Schoukens, R. Pintelon, E. Van der Ouderaa, and J. Renneboog, “Survey of excitation signals for FFT based signal analyzers,” IEEE Trans. Instrum. Meas., vol. 37, pp. 342–352, Sept. 1988.
7. L. Ljung, “On the estimation of transfer functions,” 7th IFAC Symposium on System Identification and Parameter Estimation, York, U.K. vol. 2, pp. 1653–1657, 1985.
8. H. Kühlert, R. Market, and H. Witfeld, “Frequency response function estimation from multiple input excitation with broadband signals,” Proceedings of the 15th International Seminar on Modal Analysis. Conference Part III. Heverlee, Belgium, pp. 971–989, 19-21 September 1990.
9. 1, frequency response functions,” Proceedings of the 3rd International Modal Analysis Conference, Orlando, FL, vol. 1, pp. 272–278, 1985.
10. W. M. To and D. J. Ewins, “The characteristics of frequency response function estimators using random excitation,” Proceedings of the 8th International Modal Analysis Conference, Kissimmee, FL, pp. 1101–1107, 1991.
11. S. Van Huffel and J. Vandewalle, The Total Least Squares Problem: Computational Aspects and Analysis. Philadelphia: SIAM, 1991.
12. U. K. Bhargava, “Robust parametric and nonparametric techniques for system identification,” Ph.D. thesis, Michigan, Purdue University, UMI, Dec. 1986.
13. I. Pitas and A. N. Venetsanopoulos, “Nonlinear mean filters in image processing,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-34, no. 3, pp. 573–584, June 1986.
14. R. Pintelon, J. Schoukens, and J. Renneboog, “The geometric mean of power (Amplitude) spectra has a much smaller bias than the classical arithmetic (RMS) averaging,” IEEE Trans. Instrum. Meas., vol. 37, pp. 213–218, June 1988.
15. J. Schoukens and R. Pintelon, “Measurement of frequency response functions in noisy environments,” IEEE Trans. Instrum. Meas., vol. 39, pp. 905–909, Dec. 1988.
16. M. Milanese and A. Vicino, “Optimal estimation theory for dynamic systems with set membership uncertainty: An overview,” Automatica, vol. 27, no. 6, pp. 997–1009, 1991.
17. D. R. Brillinger, Time Series, Data Analysis, and Theory. New York: Holt, Rinehart and Winston, 1975.
18. J. Schoukens and R. Pintelon, Identification of Linear Systems. A Practical Guideline to Accurate Modeling. New York: Pergamon Press, 1991.
19. J. Schoukens and J. Renneboog, “Modeling the noise influence on the fourier coefficients after a discrete fourier transform,” IEEE Trans., Instrum. Meas., vol. IM-35, pp. 278–286, Sept. 1986.
20. A. Papoulis, Probability, Random Variables, and Stochastic Processes. New York: McGraw-Hill, 1981.
21. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products. Corrected and Enlarged Edition. New York: Academic Press, 1980.
22. P. Guillaume, “Identification of multi-input multi-output systems using frequency-domain models,” Ph.D. thesis, Vrije Universiteit Brussel, Dept. ELEC, Brussels, 1992.
23. P. Guillaume, R. Pintelon, and J. Schoukens, “Nonparametric frequency response function estimators based on nonlinear averaging techniques,” IEEE Instrumentation and Measurement Technology Conference, New York, pp. 3–9, May 1992.