Estimation of multi-frequency signal parameters by frequency domain non-linear least squares

Mechanical Systems and Signal Processing

Volumn 19, Issue 5, 2005, Pages 955-973

  Zhu, Li Min ^a   Li, Han Xiong ^b   Ding, Han ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Discrete Fourier transform; Non linear least squares; Parameter estimation; Spectral analysis; Statistical analysis

Indexed keywords

COMPUTER SIMULATION; DISCRETE FOURIER TRANSFORMS; FREQUENCY DOMAIN ANALYSIS; LEAST SQUARES APPROXIMATIONS; PARAMETER ESTIMATION; ROTATING MACHINERY; SIGNAL PROCESSING; SPECTRUM ANALYSIS; STATISTICAL METHODS;

ADDITIVE NOISE; NONLINEAR LEAST SQUARES; PARAMETER ESTIMATION MODELS; VIBRATION ANALYSIS;

VIBRATIONS (MECHANICAL);

EID: 18144424835     PISSN: 08883270     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ymssp.2004.08.002     Document Type: Article

References (32)

1. Y.D. Chen, R. Du, and L.S. Qu Fault features of large rotating machinery and diagnosis using sensor fusion Journal of Sound and Vibration 188 1995 227 242
2. J.M. Danthez, and C. Giroussens The Autocoherent spectrum a useful spectral estimator for vibration analysis of rotating machinery. Accurate estimation and cancellation of pure tones Mechanical Systems and Signal Processing 12 1998 753 768
3. S.L. Marple Digital Spectral Analysis with Applications 1987 Prentice-Hall Englewood Cliffs, NJ
4. L.M. Zhu, Y.L. Xiong, and B.L. Zhong An approach for amplitude correction in line spectrum Mechanical Systems and Signal Processing 17 2003 551 560
5. L.M. Zhu, M.P. Jia, and B.L. Zhong Sampling and phase error compensation methods in rotor vibration monitoring Journal of Southeast University 27 1997 115 120 (in Chinese)
6. C.C. Smith, J.F. Dahl, and R. Joe Thornhill The duality of leakage and aliasing and improved digital spectral analysis techniques Transactions of ASME, Journal of Dynamic Systems, Measurement, and Control 118 1996 741 747
7. I. Santamaria-Caballero, and C.J. Pantaleon-Prieto Improved procedures for estimating amplitudes and phases of harmonics with application to vibration analysis IEEE Transactions on Instrumentation and Measurement 47 1998 209 214
8. J.T. Xi, and J.F. Chicharo New algorithm for improving the accuracy of periodic signal analysis IEEE Transactions on Instrumentation and Measurement 45 1996 827 831
9. J. Schoukens, Y. Rolain, G. Simon, and R. Pintelon Fully automated spectral analysis of periodic signals IEEE Transactions on Instrumentation and Measurement 52 2003 1021 1024
10. C. Offelli, and D. Petri A frequency-domain procedure for accurate real-time signal parameter measurement IEEE Transactions on Instrumentation and Measurement 39 1990 363 368
11. D.C. Rife, and R.R. Boorstyn Single-tone parameter estimation from discrete-time observations IEEE Transactions on Information Theory 33 1974 591 598
12. D.C. Rife, and G.A. Vincent Multiple tone parameter estimation form discrete-time observation The Bell System Technical Journal 55 1976 1389 1410
13. D.C. Rife, and G.A. Vincent Use of discrete Fourier transform in the measurement of frequencies and levels of tones The Bell System Technical Journal 49 1970 197 228
14. V.K. Jain, W.L. Collins, and D.C. Davis High-accuracy analog measurement via interpolated FFT IEEE Transactions on Instrumentation and Measurement 28 1979 113 122
15. T. Grandke Interpolation algorithm for discrete Fourier transform of weighted signals IEEE Transactions on Instrumentation and Measurement 32 1983 350 355
16. H. Renders, J. Schoukens, and G. Vilain High-accuracy spectrum analysis of sampled discrete frequency signals by analytical leakage compensation IEEE Transactions on Instrumentation and Measurement 33 1984 287 292
17. G. Andria, M. Sacino, and A. Trotta Windows and interpolation algorithms to improve electrical measurement accuracy IEEE Transactions on Instrumentation and Measurement 38 1989 856 863
18. C. Offelli, and D. Petri Interpolation techniques for real-time multifrequency waveform analysis IEEE Transactions on Instrumentation and Measurement 39 1990 106 110
19. D.S. Huang Phase error in fast Fourier transform analysis Mechanical Systems and Signal Processing 9 1995 113 118
20. M. Xie, and K. Ding Corrections for frequency amplitude and phase in fast Fourier transform of a harmonic signal, Mechanical Systems and Signal Processing 10 1996 211 221
21. J. Schoukens, R. Pintelon, and H.V. Hamme The interpolated fast Fourier transform a comparative study IEEE Transactions on Instrumentation and Measurement 41 1992 226 232
22. C. Offelli, and D. Petri The influence of windowing on the accuracy of multifrequency signal parameters estimation IEEE Transactions on Instrumentation and Measurement 41 1992 256 261
23. D.R.A. Mcmahon, and R.F. Barrett An efficient method for the estimation of the frequency of a single tone in noise from the phase of discrete Fourier transforms Signal Processing 11 1986 169 177
24. S. Umesh, and D. Nelson Computationally efficient estimation of sinusoidal frequency at low SNR Proceedings of the IEEE Conference on Acoustics, Speech and Signal Processing 1996 2797 2800
25. I. Santamaria, C. Pantaleon, and J. Ibanez A comparative study of high-accuracy frequency estimation methods Mechanical Systems and Signal Processing 14 2000 819 834
26. K. Ding, M. Xie, and X.F. Zhang Phase difference correction method for phase and frequency in spectral analysis Mechanical Systems and Signal Processing 14 2000 835 843
27. X.Z. Dai, and R. Gretsch Quasi-Synchronous sampling algorithm and its application IEEE Transactions on Instrumentation and Measurement 43 1994 204 209
28. L.M. Zhu, H.X. Li, H. Ding, and Y.L. Xiong Noise influence on estimation of signal parameter from the phase difference of discrete Fourier transforms Mechanical Systems and Signal Processing 16 2002 991 1004
29. P. Carbone, E. Nunzi, and D. Petri Frequency domain based least-squares estimation of multifrequency signal parameters IEEE Transactions on Instrumentation and Measurement 49 2000 555 558
30. C. Offelli, and D. Petri Weighting effect on the discrete time Fourier transform of noisy signals IEEE Transactions on Instrumentation and Measurement 41 1992 972 981
31. B.C. Lovell, and R.C. Williamson The Statistical performance of some instantaneous frequency estimators IEEE Transactions on Signal Processing 40 1992 1708 1722
32. D.R. Brillinger Time Series Data Analysis and Theory 1981 Holden-Day Inc. San Francisco