A new approach for estimation of instantaneous mean frequency of a time-varying signal

Eurasip Journal on Applied Signal Processing

Volumn 2005, Issue 17, 2005, Pages 2848-2855

  Krishnan, Sridhar ^a  

^a RYERSON UNIVERSITY   (Canada)

Author keywords

Average frequency; Instantaneous frequency; Matching pursuit; Minimum cross entropy optimization; Nonstationary signals; Positive time frequency distributions

Indexed keywords

COMPUTER SIMULATION; ENTROPY; FREQUENCIES; OPTIMIZATION;

AVERAGE FREQUENCY; INSTANTANEOUS FREQUENCY; MATCHING PURSUIT; MINIMUM CROSS-ENTROPY OPTIMIZATION; NONSTATIONARY SIGNALS; POSITIVE TIME-FREQUENCY DISTRIBUTIONS;

SIGNAL PROCESSING;

EID: 33746825926     PISSN: 11108657     EISSN: 16870433     Source Type: Journal    
DOI: 10.1155/ASP.2005.2848     Document Type: Article

References (30)

1. B. Boashash, "Estimating and interpreting the instantaneous frequency of a signal. I. Fundamentals," Proc. IEEE, vol. 80, no. 4, pp. 520-538, 1992.
2. B. Boashash, "Estimating and interpreting the instantaneous frequency of a signal. II. Algorithms and applications," Proc. IEEE, vol. 80, no. 4, pp. 540-568, 1992.
3. L. Cohen, "Time-frequency distributions - a review," Proc. IEEE, vol. 77, no. 7, pp. 941-981, 1989.
4. L. Cohen, Time-Frequency Analysis, Prentice-Hall, Englewood Cliffs, NJ, USA, 1995.
5. S. Erkucuk, S. Krishnan, and M. Zeytinoglu, "Robust audio watermarking using a chirp based technique," in Proc. IEEE International Conference on Multimedia and Expo (ICME '03), vol. 2, pp. 513-516, Baltimore, Md, USA, July 2003.
6. A. Ramalingam and S. Krishnan, "A novel robust image watermarking using a chirp based technique," in Proc. IEEE Canadian Conference on Electrical and Computer Engineering (CCECE '04), vol. 4, pp. 1889-1892, Ontario, Canada, May 2004.
7. I. Djurovic, V. Katkovnik, and L. Stankovic, "Instantaneous frequency estimation based on the robust spectrogram," in Proc. IEEE Int. Conf. Acoustics, Speech, Signal Processing (ICASSP '01), vol. 6, pp. 3517-3520, Salt Lake City, Utah, USA, May 2001.
8. F. A. C. de Bastos and M. L. R. de Campos, "A new method for estimating the instantaneous frequency based on maximum likelihood," in Proc. IEEE Int. Conf. Acoustics, Speech, Signal Processing (ICASSP '00), vol. 2, pp. 677-680, Istanbul, Turkey, June 2000.
9. A. A. Beex and P. Shan, "A time-varying Prony method for instantaneous frequency estimation at low SNR," in Proc. IEEE Int. Symp. Circuits and Systems (ISCAS '99), vol. 3, pp. 5-8, Orlando, Fla, USA, May-June 1999.
10. H. K. Kwok and D. L. Jones, "Improved instantaneous frequency estimation using an adaptive short-time Fourier transform," IEEE Trans. Signal Processing, vol. 48, no. 10, pp. 2964-2972, 2000.
11. A. Akan, M. Yalcin, and L. F. Chaparro, "An iterative method for instantaneous frequency estimation," in Proc. 8th IEEE International Conference on Electronics, Circuits and Systems. (ICECS '01), vol. 3, pp. 1335-1338, Malta, September 2001.
12. Z. M. Hussain and B. Boashash, "Multi-component IF estimation," in Proc. 10th IEEE Workshop on Statistical Signal and Array Processing (SSAP '00), pp. 559-563, Pocono Manor, Pa, USA, August 2000.
13. P. Flandrin, "Some features of time-frequency representations of multicomponent signals," in Proc. IEEE Int. Conf. Acoustics, Speech, Signal Processing (ICASSP '48), vol. 9, pp. 266-269, San Diego, Calif, USA, March 1984.
14. I. Djurovic and L. Stankovic, "Robust Wigner distribution with application to the instantaneous frequency estimation," IEEE Trans. Signal Processing, vol. 49, no. 12, pp. 2985-2993, 2001.
15. L. Stankovic and V. Katkovnik, "The Wigner distribution of noisy signals with adaptive time-frequency varying window," IEEE Trans. Signal Processing, vol. 47, no. 4, pp. 1099-1108, 1999.
16. P. J. Loughlin and B. Tacer, "Comments on the interpretation of instantaneous frequency," IEEE Signal Processing Lett., vol. 4, no. 5, pp. 123-125, 1997.
17. F. Hlawatsch and G. F. Boudreaux-Bartels, "Linear and quadratic time-frequency signal representations," IEEE Signal Processing Mag., vol. 9, no. 2, pp. 21-67, 1992.
18. F. Hlawatsch, T. G. Manickam, R. L. Urbanke, and W. Jones, "Smoothed pseudo-Wigner distribution, Choi-Williams distribution, and cone-kernel representation: Ambiguity-domain analysis and experimental comparison," Signal Processing, vol. 43, no. 2, pp. 149-168, 1995.
19. V. Sucic and B. Boashash, "Optimisation algorithm for selecting quadratic time-frequency distributions: performance results and calibration," in Proc. 6th International Symposium on Signal Processing and Its Applications (ISSPA '01), vol. 1, pp. 331-334, Kuala Lumpur, Malaysia, August 2001.
20. H.-I. Choi and W. J. Williams, "Improved time-frequency representation of multicomponent signals using exponential kernels," IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, no. 6, pp. 862-871, 1989.
21. Z. Guo, L.-G. Durand, and H. C. Lee, "The time-frequency distributions of nonstationary signals based on a Bessel kernel," IEEE Trans. Signal Processing, vol. 42, no. 7, pp. 1700-1707, 1994.
22. R. G. Baraniuk and D. L. Jones, "A signal-dependent time-frequency representation: optimal kernel design," IEEE Trans. Signal Processing, vol. 41, no. 4, pp. 1589-1602, 1993.
23. V. Sucic, B. Barkat, and B. Boashash, "Performance evaluation of the B-distribution," in Proc. 5th International Symposium on Signal Processing and Its Applications (ISSPA '99), vol. 1, pp. 267-270, Queensland, Brisbane, Australia, August 1999.
24. P. J. Loughlin and K. L. Davidson, "Modified Cohen-Lee time-frequency distributions and instantaneous bandwidth of multicomponent signals," IEEE Trans. Signal Processing, vol. 49, no. 6, pp. 1153-1165, 2001.
25. S. G. Mallat and Z. Zhang, "Matching pursuits with timefrequency dictionaries," IEEE Trans. Signal Processing, vol. 41, no. 12, pp. 3397-3415, 1993.
26. L. Cohen and T. Posch, "Positive time-frequency distribution functions," IEEE Trans. Acoust., Speech, Signal Processing, vol. 33, no. 1, pp. 31-38, 1985.
27. J. Shore and R. Johnson, "Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross-entropy," IEEE Trans. Inform. Theory, vol. 26, no. 1, pp. 26-37, 1980.
28. J. Shore and R. Johnson, "Properties of cross-entropy minimization," IEEE Trans. Inform. Theory, vol. 27, no. 4, pp. 472-482, 1981.
29. P. J. Loughlin, J. W. Pitton, and L. E. Atlas, "Construction of positive time-frequency distributions," IEEE Trans. Signal Processing, vol. 42, no. 10, pp. 2697-2705, 1994.
30. S. Krishnan, R. M. Rangayyan, G. D. Bell, and C. B. Frank, "Adaptive time-frequency analysis of knee joint vibroarthrographic signals for noninvasive screening of articular cartilage pathology," IEEE Trans. Biomed. Eng., vol. 47, no. 6, pp. 773-783, 2000.