Order tracking by discrete Gabor expansion

IEEE Transactions on Instrumentation and Measurement

Volumn 52, Issue 3, 2003, Pages 754-761

  Shao, Hui ^a   Jin, Wei ^a   Qian, Shie ^a  

^a NATIONAL INSTRUMENTS   (United States)

Author keywords

Gabor expansion; Harmonic analysis; Order analysis; Order tracking; Short time Fourier transform

Indexed keywords

ADAPTIVE FILTERING; AUTOMOTIVE INDUSTRY; COMPUTATIONAL METHODS; FAST FOURIER TRANSFORMS; KALMAN FILTERING;

GABOR EXPANSION;

HARMONIC ANALYSIS;

EID: 0043093905     PISSN: 00189456     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIM.2003.814670     Document Type: Article

References (18)

1. M. J. Bastiaans, "Gabor's expansion of a signal into Gabor elementary signals," Proc. IEEE, vol. 68, pp. 538-539, 1980.
2. _, "Gabor's signal expansion and its relation to sampling of the sliding-window spectrum," in Advanced Topics in Shannon Sampling and Interpolation Theory, R. J. Marks II, Ed. New York: Springer, 1993, pp. 1-35.
3. I. Daubechies, "The wavelet transform, time-frequency localization and signal analysis," IEEE Trans. Inform. Theory, pp. 961-1005, Sept. 1990.
4. B. Feichtinger and T. Stromas, Gabor Analysis and Algorithms: Theory and Applications. Boston, MA: Birkhauser, 1998.
5. D. Gabor, "Theory of communication," J. Inst. Elect. Eng. (London), vol. 93, no. III, pp. 429-457, Nov. 1946.
6. S. Li and D. M. Healy, Jr., "A parametric class of discrete Gabor expansions," IEEE Trans. Signal Processing, vol. 44, pp. 201-211, Feb. 1996.
7. J. M. Morris and Y. Lu, "On biorthogonal-like sequences for generalized discrete Gabor expansion of discrete-time signals," IEEE Trans. Signal Processing, vol. 44, pp. 1378-1391, June 1996.
8. M. R. Protnoff, "Time-frequency representation of digital signal and systems based on short-time Fourier analysis," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-28, pp. 55-69, Feb. 1980.
9. S. Qian and D. Chen, "Discrete Gabor transform," IEEE Trans. Signal Processing, vol. 41, pp. 2429-2439, July 1993.
10. S., Qian, Introduction to Time-Frequency and Wavelet Transforms. Englewood Cliffs, NJ: Prentice-Hall, 2001.
11. G. Strang and T. Q. Nguyen, Wavelet and Filter Banks. Wellesley, MA: Wellesley-Cambridge Press, 1995.
12. P. P. Vaidyanathan, Multirate Systems and Filter Banks. Englewood Cliffs, NJ: Prentice-Hall, 1993.
13. H. Void and J. Leuridan, "Order tracking at extreme slew rates using Kalman tracking filters," SAE Paper 931 288, 1993.
14. J. Wexler and S. Raz, "Discrete Gabor expansions," Signal Process., vol. 21, no. 3, pp. 207-221, Nov. 1990.
15. X.-G. Xia and S. Qian, "Convergence of an iterative time-varying filtering based on discrete Gabor transform," IEEE Trans. Signal Processing, vol. 47, pp. 2894-2899, Oct. 1999.
16. J. Yao, "Complete Gabor transformation for signal representation," IEEE Trans. Image Processing, vol. 2, pp. 152-159, Apr. 1993.
17. L. Angrisani and M. D'Arco, "A measurement method based on a modified version of the chirplet transform for instantaneous frequency estimation," IEEE Trans. Instrum. Meas., vol. 51, pp. 704-711, Aug. 2002.
18. M. Albright and S. Qian, "A comparison of the newly proposed Gabor order tracking technique vs. other order tracking methods," SAE Paper 2001-01-1471,2001.