Weighted least squares implementation of cohen-posch time-frequency distributions

IEEE Transactions on Signal Processing

Volumn 46, Issue 3, 1998, Pages 753-757

  Emresoy, Mustafa K ^a   Loughlin, Patrick J ^a  

^a University of Pittsburgh   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; FREQUENCY DOMAIN ANALYSIS; INFORMATION THEORY; ITERATIVE METHODS; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; TIME DOMAIN ANALYSIS;

TIME FREQUENCY DISTRIBUTIONS (TFD); WEIGHTED LEAST SQUARES (WLS) ALGORITHMS;

DIGITAL SIGNAL PROCESSING;

EID: 0032024507     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.661340     Document Type: Article

References (24)

1. R. Baraniuk and D. Jones, "Signal-dependent time-frequency analysis using a radially Gaussian kernel," Signal Process., vol. 32, no. 3, pp. 263-284, 1993.
2. H. Choi and W. Williams, "Improved time-frequency representation of multicomponent signals using exponential kernels," IEEE Trans. Acoust., Speech, Signal Processing, vol. 37 pp. 862-871, 1989.
3. L. Cohen, "Generalized phase-space distribution functions," J. Math. Phys., vol. 7, no. 5, pp. 781-786, 1966.
4. L. Cohen and T. Posch, "Positive time-frequency distribution functions," IEEE Trans. Acoust., Speech, Signal Processing, vol. 33, pp. 31-37, 1985.
5. L. Cohen and Y. Zaparovanny, "Positive quantum joint distributions," J. Math. Phys., vol. 21, pp. 794-796, 1980.
6. M. K. Emresoy and P. J. Loughlin, "WLS Cohen-Posch TFD's with specified joint and conditional moment constraints," submitted for publication.
7. J. Fonollosa, "Positive time-frequency distributions based on joint marginal constraints," IEEE Trans. Signal Processing, vol. 44, pp. 2086-2091, Aug. 1996.
8. A. Francos and Porat, "Parametric estimation of multicomponent signals using minimum cross-entropy time-frequency distributions," in Proc. 1EEE-SP Int. Symp. Time-Freq./Time-Scale Anal, 1996, pp. 321-324.
9. D. Groutage, "A fast algorithm for computing minimum cross-entropy positive time-frequency distributions," IEEE Trans. Signal Processing, vol. 45, pp. 1954-1970, Aug. 1997.
10. E. Kreyzig, Functional Analysis. San Francisco, CA: Kreiger, 1989.
11. P. Loughlin, "Time-frequency energy density functions: Theory and synthesis," Ph.D. dissertation, Univ. Washington, Seattle, 1992.
12. P. Loughlin, J. Pitton and L. Atlas, "An information-theoretic approach to positive time-frequency distributions," in Proc. IEEE ICASSP, 1992.
13. _, "Construction of positive time-frequency distributions," IEEE Trans. Signal Processing, vol. 42, pp. 2697-2705, Oct. 1994.
14. P. Loughlin, M. Redfern and J. Furman, "Time-varying characteristics of visually-induced postural sway," IEEE Trans. Rehab. Eng., vol. 4, pp. 416-424, Dec. 1996.
15. P. Loughlin and B. Tacer, "On the amplitude- and frequency-modulation decomposition of signals," J. Acoust. Soc. Amer., vol. 100, no. 3, pp. 1594-1601, 1996.
16. S. Oh, R. Marks, II, and L. Atlas, "Kernel synthesis for generalized timefrequency distributions using the method of alternating projections onto convex sets," IEEE Trans. Signal Processing, vol. 42, pp. 1653-1660, July 1994.
17. S. Oh, R. Marks, II, L. Atlas, and J. Pitton, "Kernel synthesis for generalized time-frequency distributions using the method of projections onto convex sets," SPIE Advanced Signal Process. Alg. Arch. Imp!., vol. 1348, pp. 197-207, 1990.
18. R. Rohrbaugh and L. Cohen, "Time-frequency analysis of a camoperated pump," in Proc. 49th Meeting Soc. Machinery Failure Prevention Technol., 1995, pp. 349-361.
19. J. Pitton, L. Atlas, and P. Loughlin, "Applications of positive timefrequency distributions to speech processing," IEEE Trans. Speech Audio Processing, vol. 2, pp. 554-566, Mar. 1994.
20. T. Sang, W. Williams, and J. O'Neil, "An algorithm for positive timefrequency distributions," in Proc. IEEE-SP Int. Symp. Time-Freq./TimeScale Anal., 1996, pp. 165-168.
21. S. Shah, P. Loughlin, L. Chaparro, and A. El-Jaroudi, "Informative priors for minimum cross-entropy positive time-frequency distributions," IEEE Signal Processing Lett., vol. 4, pp. 176-177, June 1997.
22. R. Streifel, "Synthesis of time-frequency representations by the method of projections onto convex sets," Masters thesis, Dept. Elect. Eng., Univ. Washington, Seattle, 1991.
23. H. Stark, ed., Image Recovery, Theory and Application. New York: Academic, 1987.
24. H. Tohyama, S. Kikkawa, and K. Ohara, "On an optimum positive time-frequency distribution by the least squares method" Trans. Inst. Electr., Inform. Commun. Eng., vol. J75-A1, no. 3, pp. 661-663, 1992. (in Japanese); S. Kikkawa and H. Tohyama, "A least squares method for generating positive time-frequency distributions" unpublished English manuscript.