High accuracy estimation of multi-frequency signal parameters by improved phase linear regression

Signal Processing

Volumn 87, Issue 5, 2007, Pages 1066-1077

  Zhu, LiMin ^a   Song, XueMei ^a   Li, HanXiong ^b   Ding, Han ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Discrete Fourier transform; Linear regression; Parameter estimation; Spectral analysis; Statistical analysis

Indexed keywords

COMPUTER SIMULATION; DISCRETE FOURIER TRANSFORMS; ELECTRIC FREQUENCY MEASUREMENT; PARAMETER ESTIMATION; REGRESSION ANALYSIS; SPECTRUM ANALYSIS; SPURIOUS SIGNAL NOISE;

LINEAR REGRESSION; PHASE SPECTRA; SIGNAL FREQUENCY; VARIANCES;

SIGNAL FILTERING AND PREDICTION;

EID: 33846589422     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2006.09.014     Document Type: Article

References (32)

1. Rife D.C., and Vincent G.A. Use of discrete Fourier transform in the measurement of frequencies and levels of tones. Bell Syst. Tech. J. 49 (1970) 197-228
2. Marple S.L. Digital Spectral Analysis with Applications (1987)), Prentice-Hall, Englewood Cliffs, NJ
3. Smith C.C., Dahl J.F., and Joe Thornhill R. The duality of leakage and aliasing and improved digital spectral analysis techniques. Trans. ASME J. Dynam. Syst. Meas. Control 118 (1996) 741-747
4. Santamaria-Caballero I., and Pantaleon-Prieto C.J. Improved procedures for estimating amplitudes and phases of harmonics with application to vibration analysis. IEEE Trans. Instrum. Meas. 47 (1998) 209-214
5. Offelli C., and Petri D. A frequency-domain procedure for accurate real-time signal parameter measurement. IEEE Trans. Instrum. Meas. 39 (1990) 363-368
6. Rife D.C., and Boorstyn R.R. Single-tone parameter estimation from discrete-time observations. IEEE Trans. Inform. Theory 33 (1974) 591-598
7. Rife D.C., and Vincent G.A. Multiple tone parameter estimation form discrete-time observation. Bell Syst. Tech. J. 55 (1976) 1389-1410
8. Jain V.K., Collins W.L., and Davis D.C. High-accuracy analog measurement via interpolated FFT. IEEE Trans. Instrum. Meas. 28 (1979) 113-122
9. Grandke T. Interpolation algorithm for discrete Fourier transform of weighted signals. IEEE Trans. Instrum. Meas. 32 (1983) 350-355
10. Renders H., Schoukens J., and Vilain G. High-accuracy spectrum analysis of sampled discrete frequency signals by analytical leakage compensation. IEEE Trans. Instrum. Meas. 33 (1984) 287-292
11. Andria G., Sacino M., and Trotta A. Windows and interpolation algorithms to improve electrical measurement accuracy. IEEE Trans. Instrum. Meas. 38 (1989) 856-863
12. Offelli C., and Petri D. Interpolation techniques for real-time multifrequency waveform analysis. IEEE Trans. Instrum. Meas. 39 (1990) 106-110
13. Xie M., and Ding K. Corrections for frequency, amplitude and phase in fast Fourier transform of a harmonic signal. Mech. Syst. Signal Process. 10 (1996) 211-221
14. Agrež D. Weighted multipoint interpolated DFT to improve amplitude estimation of multifrequency signal. IEEE Trans. Instrum. Meas. 51 2 (2002) 287-292
15. Schoukens J., Pintelon R., and Hamme H.V. The interpolated fast Fourier transform: a comparative study. IEEE Trans. Instrum. Meas. 41 (1992) 226-232
16. Offelli C., and Petri D. The influence of windowing on the accuracy of multifrequency signal parameters estimation. IEEE Trans. Instrum. Meas. 41 (1992) 256-261
17. Carbone P., Nunzi E., and Petri D. Frequency domain based least-squares estimation of multifrequency signal parameters. IEEE Trans. Instrum. Meas. 49 (2000) 555-558
18. Zhu L.M., Li H.X., and Ding H. Estimation of multi-frequency signal parameters by frequency domain least-squares. Mech. Syst. Signal Process. 19 5 (2005) 955-973
19. Mcmahon D.R.A., and Barrett R.F. 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
20. Ding K., Xie M., and Zhang X.F. Phase difference correction method for phase and frequency in spectral analysis. Mech. Syst. Signal Process. 14 (2000) 835-843
21. Zhu L.M., Li H.X., Ding H., and Xiong Y.L. Noise influence on estimation of signal parameter from the phase difference of discrete Fourier transforms. Mech. Syst. Signal Process. 16 (2002) 991-1004
22. H.E. Hanrahan, Estimation of amplitudes, frequencies and phases of multitone signal components using low sidelobe time windows, Proceedings of the 1993 IEEE South African Symposium on Communications and Signal Processing, 1993, pp. 19-24.
23. Dai X.Z., and Gretsch R. Quasi-synchronous sampling algorithm and its application. IEEE Trans. Instrum. Meas. 43 (1994) 204-209
24. Mcmahon D.R.A., and Barrett R.F. Generalization of the method for the estimation of the frequencies of tones in noise from the phase of discrete Fourier transforms. Signal Process. 12 (1986) 371-383
25. Xi J.T., and Chicharo J.F. New algorithm for improving the accuracy of periodic signal analysis. IEEE Trans. Instrum. Meas. 45 (1996) 827-831
26. Schoukens J., Rolain Y., Simon G., and Pintelon R. Fully automated spectral analysis of periodic signals. IEEE Trans. Instrum. Meas. 52 (2003) 1021-1024
27. Tretter S.A. Estimating the frequency of a noisy sinusoid by linear regression. IEEE Trans. Inform. Theory 31 (1985) 832-835
28. Kay S. A fast and accurate single frequency estimator. IEEE Trans. Acoust. Speech Signal Process. 37 (1989) 1987-1990
29. S. Umesh, D. Nelson, Computationally efficient estimation of sinusoidal frequency at low SNR, Proceedings of the IEEE Conference on Acoustics, Speech and Signal Processing, 1996, pp. 2797-2800.
30. Zhu L.M., Ding H., and Ding K. Phase regression approach for estimating the parameters of a noisy multi-frequency signal. IEE Proc.-Vision, Image Signal Process. 151 5 (2004) 411-420
31. Lovell B.C., and Williamson R.C. The statistical performance of some instantaneous frequency estimators. IEEE Trans. Signal Process. 40 (1992) 1708-1722
32. D.J. Nelson, K.M. Short, A channelized cross spectral method for improved frequency resolution, Proceedings of the, IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, 1998, pp. 101-104.