Some Properties of the Generalized Time Frequency Representation with Cone-Shaped Kernel

IEEE Transactions on Signal Processing

Volumn 40, Issue 7, 1992, Pages 1735-1745

  Oh, Seho ^a   Marks, Robert J ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INFORMATION THEORY; MATHEMATICAL TECHNIQUES; PROBABILITY; STATISTICAL METHODS;

CONE-SHAPED KERNELS; TIME FREQUENCY REPRESENTATIONS; WIGNER DISTRIBUTIONS;

SIGNAL PROCESSING;

EID: 0026898173     PISSN: 1053587X     EISSN: 19410476     Source Type: Journal    
DOI: 10.1109/78.143445     Document Type: Article

References (17)

1. L. Cohen, “Time-frequency distribution—a review,” Proc. IEEE, vol. 77, pp. 941–981, July 1989.
2. L. Cohen, “Generalized phase-space distribution function,” J. Math. Phys., vol. 7, pp. 781–786, 1966.
3. H. Choi and W. J. Williams, “Improved time-frequency representation of multicomponent signal using exponential kernels,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, pp. 862–871, June 1989.
4. W. J. Williams and J. Jeong, “New time-frequency distribution: Theory and applications,” in Proc. Int. Conf. Circuits Sys. (Portland, OR), 1989.
5. L. E. Atlas. Y. Zhao, and R. J. Marks, II, “Application of the generalized time-frequency representation to speech signal analysis,” in Proc. IEEE Pacific Rim Conf. Commun., Comput. Signal Processing (Victoria, B.C., Canada), 1987, pp. 517-519.
6. L. E. Atlas, Y. Zhao, and R. J. Marks, II, “The use of cone-shape kernels for generalized time-frequency representations of nonstationary signals,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 38, pp. 1084–1091, 1990.
7. F. Hlawatsch, “Interference terms in the Wigner distribution,” in Digital Signal Processing 84, V. Cappellini and Constantinides Eds. Amsterdam, The Netherlands: Elsevier (North Holland), 1984.
8. W. Martin and P. Flandrin, “Wigner-Ville spectral analysis of nonstationary processors,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-33, pp. 1461–1470, Dec. 1985.
9. J. C. Andriux, M. R. Feix, G. Mourgues, P. Bertrand, B. Izar, and V. T. Nguyen, “Optimum smoothing of the Wigner-Ville distribution,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-35, pp. 764–769, June 1987.
10. L. E. Atlas, P. J. Loughlin, J. W. Pitton, and W. L. J. Fox, “Application of cone-shaped kernel time-frequency representations to speech and sonar analysis,” in Proc. Int. Symp. Signal Processing Applications (Gold Coast, Australia), Aug. 27-31. 1990.
11. J. W. Goodman, Introduction to Fourier Optics. New York: McGraw-Hill, 1968.
12. S. Oh and R. J. Marks, II, “Kernel synthesis for generalized timefrequency distributions using the method of projection onto convex sets,” in Proc. SPIE Conf. Adv. Signal Processing. Algorithms, Architectures, Implementation (San Diego, CA), 1990.
13. A. Papoulis, Signal Analysis. New York: McGraw-Hill, 1977.
14. T. E. Posch, “Time-frequency distribution for a wide-sense stationary random signal,” in Proc. Int. Conf. Circuits Svst. (Portland, OR), 1989. pp. 1235-1236.
15. T. E. Posch, “Time-frequency distribution for a wide-sense stationary random signal,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 38, no. 4, pp. 725–727, 1990.
16. R.J. Marks, II. Introduction to Shannon Sampling and Interpolation Theory. New York: Springer-Verlag, 1991.
17. A. Ralston and P. Rabnowitz, A First Course in Numerical Analysis, second ed. New York: McGraw-Hill, 1978.