A comprehensive study of the bias and variance of frequency-response-function measurements: Optimal window selection and overlapping strategies

Automatica

Volumn 43, Issue 10, 2007, Pages 1723-1736

  Antoni, Jérôme ^a   Schoukens, Johan ^b  

^a UNIVERSITÉ DE TECHNOLOGIE DE COMPIÈGNE   (France)

^b VRIJE UNIVERSITEIT BRUSSEL   (Belgium)

Author keywords

Frequency response function; Non parametric frequency domain identification; Statistical performance analysis; Weighted overlapped segment averaging

Indexed keywords

ASYMPTOTIC ANALYSIS; FUNCTIONS; SPECTRUM ANALYZERS; STATISTICAL METHODS;

NON-PARAMETRIC FREQUENCY DOMAIN IDENTIFICATION; STATISTICAL PERFORMANCE ANALYSIS; WEIGHTED-OVERLAPPED SEGMENT AVERAGING;

FREQUENCY RESPONSE;

EID: 34548477660     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2007.02.020     Document Type: Article

References (18)

1. Antoni J. Leakage-free identification of FRF's with the discrete time fourier transform. Journal of Sound and Vibration 294 4-5 (2006) 981-1003
2. Bendat J., and Piersol A. Random data-analysis and measurement procedures. (2nd ed.) (1986), Wiley Interscience, New York
3. Blackman R.B., and Tukey J.W. The measurement of power spectra form the point of view of communications engineering (1959), Dover, New York
4. Blanc-Lapierre A., and Fortet R. Théorie des fonctions aléatoires (1953), Masson
5. Brillinger D. An introduction to polyspectra. Annals of Mathematical Statistics 36 (1965) 1351-1374
6. Brillinger D.R. Time series: Data analysis and theory (1975), Holden-Day, London: New York
7. Broersen P.M.T. A comparison of transfer function estimators. IEEE Transactions on Instrumentation and Measurement 44 3 (1995) 657-661
8. Carter, G. C., & Nutall, A. H. (1982). On the weighted overlapped segment averaging method for power spectral estimation. Proceedings of the IEEE 68(10), 1352-1354.
9. Douce, J. L., & Balmer, L. (1990). Statistics of frequency-response estimates. IEE Proceedings, 137(5), 290-296.
10. Jenkins G.M., and Watts D.G. Spectral analysis and its applications (1968), Emerson-Adams Press
11. Nutall A.H., and Carter G.C. Spectral estimation using combined time and lag weighting. Proceedings of the IEEE 70 (1982) 11-15
12. Papoulis A.P. Minimum-bias windows for high-resolution spectral estimates. IEEE Transactions on Information Theory IT-19 1 (1973) 9-12
13. Percival D., and Walden A. Spectral analysis for physical applications (1993), Cambridge University Press, Cambridge
14. Pintelon R., and Schoukens J. System identification-a frequency domain approach (2001), IEEE Press, New York
15. Schoukens J., and Pintelon R. Identification of linear systems (1991), Pergamon Press, Oxford
16. Schoukens J., Rolain Y., and Pintelon R. Analysis of windowing/leakage effects in frequency response function measurements. Automatica 42 1 (2006) 27-38
17. Van der Vaart A.W. Asymptotic statistics (1998), Cambridge, University Press
18. Welch P. The use of the fast fourier transform for the estimation of power spectra: A method based on time averaging over short, modified periodograms. IEEE Transactions on Audio and Electroacoustics 15 (1967) 70-73