Time-frequency analysis using warped-based high-order phase modeling

Eurasip Journal on Applied Signal Processing

Volumn 2005, Issue 17, 2005, Pages 2856-2873

  Ioana, Cornel ^a   Quinquis, André ^a  

^a ENSIETA   (France)

Author keywords

High order ambiguity function; Polynomial phase signal; Warping operator

Indexed keywords

APPROXIMATION THEORY; ERROR ANALYSIS; FREQUENCIES; PHASE MODULATION; POLYNOMIALS; SPURIOUS SIGNAL NOISE;

COMPLEX CONJUGATED EXPONENTIALS; HIGH-ORDER AMBIGUITY FUNCTION (HAF); POLYNOMIAL PHASE SIGNAL; SIGNAL TRANSFORMATION; WARPING OPERATOR;

SIGNAL PROCESSING;

EID: 33746822731     PISSN: 11108657     EISSN: 16870433     Source Type: Journal    
DOI: 10.1155/ASP.2005.2856     Document Type: Review

References (24)

1. B. Porat, Digital Processing of Random Signals: Theory and Methods, Prentice-Hall, Englewood Cliffs, NJ, USA, 1993.
2. S. Barbarossa, A. Scaglione, and G. B. Giannakis, "Product high-order ambiguity function for multicomponent polynomial-phase signal modeling," IEEE Trans. Signal Processing, vol. 46, no. 3, pp. 691-708, 1998.
3. B. Boashash and P. O'Shea, "Polynomial Wigner-Ville distributions and their relationship to time-varying higher order spectra," IEEE Trans. Signal Processing, vol. 42, no. 1, pp. 216-220, 1994.
4. L. J. Stankovic, "L-class of time-frequency distributions," IEEE Signal Processing Lett., vol. 3, no. 1, pp. 22-25, 1996.
5. B. Porat and B. Friedlander, "Asymptotic statistical analysis of the high-order ambiguity function for parameter estimation of polynomial-phase signals," IEEE Trans. Inform. Theory, vol. 42, no. 3, pp. 995-1001, 1996.
6. S. Peleg, B. Porat, and B. Friedlander, "The achievable accuracy in estimating the instantaneous phase and frequency of a constant amplitude signal," IEEE Trans. Signal Processing, vol. 41, no. 6, pp. 2216-2224, 1993.
7. M. Benidir and A. Ouldali, "Polynomial phase signal analysis based on the polynomial derivatives decompositions," IEEE Trans. Signal Processing, vol. 47, no. 7, pp. 1954-1965, 1999.
8. C. Theys, M. Vieira, and A. Ferrari, "Bayesian estimation of the parameters of a polynomial phase signal using MCMC methods," in Proc. IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP '97), vol. 5, pp. 3553-3556, Munich, Germany, April 1997.
9. G. T. Zhou and Y. Wang, "Exploring lag diversity in the high-order ambiguity function for polynomial phase signals," in Proc. IEEE Signal Processing Workshop on Higher-Order Statistics (HOS '97), pp. 103-106, Banff, Alberta, Canada, July 1997.
10. R. G. Baraniuk and D. L. Jones, "Unitary equivalence: a new twist on signal processing," IEEE Trans. Signal Processing, vol. 43, no. 10, pp. 2269-2282, 1995.
11. C. Ioana and A. Quinquis, "High-order warped-based ambiguity function," in Proc. IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing (NSIP '03), Grado, Italy, June 2003.
12. S. M. Ruiz, "An algebraic identity leading to Wilson's theorem," The Mathematical Gazette, vol. 80, no. 489, pp. 579-582, 1996.
13. A. Papandreou, S. M. Kay, and G. F. Boudreaux-Bartels, "The use of hyperbolic time-frequency representations for optimum detection and parameter estimation of hyperbolic chirps," in Proc. IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis (TFTS '94), pp. 369-372, Philadelphia, Pa, USA, October 1994.
14. F. Hlawatsch, A. Papandreou-Suppappola, and G. F. Boudreaux-Bartels, "The power classes-quadratic time-frequency representations with scale covariance and dispersive time-shift covariance," IEEE Trans. Signal Processing, vol. 47, no. 11, pp. 3067-3083, 1999.
15. T. Twaroch and F. Hlawatsch, "Modulation and warping operators in joint signal analysis," in Proc. IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis (TFTS '98), pp. 9-12, Pittsburgh, Pa, USA, October 1998.
16. L. Cohen, Time-Frequency Analysis, Prentice-Hall, New York, NY, USA, 1994.
17. K. G. Canfield and D. L. Jones, "Implementing time-frequency representations for non-Cohen classes," in Proc. 27th Asilomar Conference on Signals, Systems and Computers, vol. 2, pp. 1464-1468, Pacific Grove, Calif, USA, November 1993.
18. A. Papandreou-Suppappola and S. B. Suppappola, "Adaptive time-frequency representations for multiple structures," in Proc. 10th IEEE Workshop on Statistical Signal and Army Processing (SSAP '00), pp. 579-583, Pocono Manor, Pa, USA, August 2000.
19. R. G. Baraniuk and D. L. Jones, "Shear madness: new orthonormal bases and frames using chirp functions," IEEE Trans. Signal Processing, vol. 41, no. 12, pp. 3543-3549, 1993.
20. S. Mann and S. Haykin, "The chirplet transform: a generalisation of Gabor's logon transform," in Proc. International Conference on Vision Interface (VI '91), pp. 205-212, Canadian Image Processing and Patern Recognition Society, Calgary, Alberta, Canada, June 1991.
21. S. Peleg and B. Porat, "Estimation and classification of polynomial-phase signals," IEEE Trans. Inform. Theory, vol. 37, no. 2, pp. 422-430, 1991.
22. E. Delory and J. R. Potter, "Objectivity in the study of marine mammal vocalisations: a wavelet approach," in Proc. 13th Annual Conference of European Cetacean Society (ECS '99), Valencia, Spain, April 1999.
23. http://www.dolphinear.com/de-sound.htm.
24. C. Ioana, A. Quinquis, C. Gervaise, and J.-C. Le Gac, "Motion estimation of underwater mobiles in a multipath channel using polynomial phase signal modelling," in Proc. European Conference on Underwater Acoustic (ECUA '04), Delft, the Netherlands, July 2004.