Highly concentrated time-frequency distributions: Pseudo quantum signal representation

IEEE Transactions on Signal Processing

Volumn 45, Issue 3, 1997, Pages 543-551

  Stankovic, Ljubisa ^a,b  

^a IEEE   (Serbia)

^b UNIVERSITY OF MONTENEGRO   (Montenegro)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL OPERATORS; PROBABILITY; QUANTUM THEORY; SIGNAL THEORY;

LIOUVILLES EQUATION; TIME FREQUENCY DISTRIBUTION;

DIGITAL SIGNAL PROCESSING;

EID: 0031102083     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.558467     Document Type: Article

References (24)

1. L. Cohen, "Time-frequency distributions-A review," Proc. IEEE, vol. 77 pp. 941-981, July 1989.
2. F. Hlawatsch and G. F. Boudreaux-Bartels, "Linear and quadratic timefrequency signal representations," IEEE Signal Processing Mag., pp. 21-67, Apr. 1992.
3. E. P. Wigner, "On the quantum correction for thermodynamic equilibrium," Phys. Rev., vol. 40, pp. 749-759, 1932.
4. V. I. Tatarski, "Wigner's representation in quantum mechanics," Uspehi Fiziceskih Nauk (Advances in the Physics). Moscow: Soviet Acad. Sci. Press, Apr. 1983, vol. 139, no. 4, pp. 587-619, in Russian.
5. J. Ville, "Theorie et applications de la notion de signal analytique," Câbles et Transmission, vol. 2, no. 1, pp. 61-74, 1946.
6. L. Cohen, "Distributions concentrated along the instantaneous frequency," SPIE-Advanced Signal Processing Alg., Architect., Implement., vol. 1348, pp. 149-157, 1990.
7. LJ. Stankovic, "An analysis of some time-frequency and time-scale distributions," Annales des Telecommun., vol. 49, pp. 505-517, Sept./Oct. 1994.
8. _, "A method for improved distribution concentration in the timefrequency signal analysis using the L-Wigner distribution," IEEE Trans. Signal Processing, vol. 43, pp. 1262-1268, May 1995.
9. B. Boashash and B. Ristic, "Polynomial WVD's and time-varying polyspectra," in Higher Order Statistical Proc., B. Boashash et al., Eds. London, U.K.: Longman Cheshire, 1993.
10. 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, pp. 216-220, Jan. 1994.
11. LJ. Stankovic and S. Stankovic, "An analysis of the instantaneous frequency representation by some time-frequency distributions-Generalized Wigner distribution," IEEE Trans. Signal Processing, vol. 43, pp. 549-552, Feb. 1995.
12. LJ. Stankovic, "A multitime definition of the Wigner higher order distribution: L-Wigner distribution," IEEE Signal Processing Lett., vol. 1, pp. 106-109, July 1994.
13. _, "A method for time-frequency analysis," IEEE Trans. Signal Processing, vol. 42, pp. 225-229, Jan. 1994.
14. G. Wentzel, "Einfuhrung in die quantenthéorie der Wellenfelder," Zsf. Phys., vol. 38, p. 518, 1926, in German.
15. R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals. New York: Wiley, 1965.
16. B. Escudie and J. Gréa, "Sur une formulation générale de la representation en temps et fréquence dans 1' analyze de signeaux d' énergie finie," C.R. Acad. Sci., Paris, vol. A283, pp. 1049-1051, 1976, in French.
17. P. Flandrin and B. Escudie, "Time and frequency representation of finite energy signals: A physical property as a result of a Hilbertian condition," Signal Processing, vol. 2, pp. 93-100, 1980.
18. T. A. C. M. Claasen and W. F. G. Mecklenbrauker, "The Wigner distribution-A tool for time-frequency signal analysis; Parts I, II, III," Philips J. Res., vol. 35, pp. 217-250, 276-300, 372-389, 1980.
19. LJ. Stankovic, "L-class of time-frequency distributions," IEEE Signal Processing Lett., vol. 3, pp. 22-25, Jan. 1996.
20. B. Boashash, "Estimating and interpreting the instantaneous frequency of a signal-Part 1: Fundamentals," Proc. IEEE, vol. 80, pp. 519-538, Apr. 1992.
21. LJ. Stankovic, "On the realization of the highly concentrated time-frequency distributions," in Proc. IEEE Symp. TFTSA, Paris, June 1996, pp. 461-464.
22. _, "A distribution concentrated along the instantaneous frequency," IEEE Signal Processing Lett., vol. 3, pp. 89-91, Mar. 1996.
23. _, "S-class of distributions," Proc. Inst. Elec. Eng., Vision, Image Signal Processing., in press.
24. S. Stankovic and LJ. Stankovic, "An architecture for the realization of a system for time-frequency analysis," IEEE Trans. Circuits Syst., Part II, vol. 44, Feb. 1997.