DiscreteTime Instantaneous Frequency and Its Computation

IEEE Transactions on Signal Processing

Volumn 41, Issue 5, 1993, Pages 1867-1880

  Sclabassi, Robert J ^b  

^a UNIVERSITY OF PITTSBURGH SCHOOL OF MEDICINE   (United States)

^b UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DISCRETE TIME CONTROL SYSTEMS; FREQUENCY DOMAIN ANALYSIS; SIGNAL PROCESSING;

DISCRETE-TIME INSTANTANEOUS FREQUENCY; FOURIER FREQUENCIES; INSTANTANEOUS FREQUENCIES;

SPECTRUM ANALYSIS;

EID: 0027591088     PISSN: 1053587X     EISSN: 19410476     Source Type: Journal    
DOI: 10.1109/78.215305     Document Type: Article

References (30)

1. D. Gabor, “Theory of communication,” Proc. Inst. Elec. Eng., vol. 93, pp. 429–457, 1946.
2. J. Ville, “Theorie et applications de la notion de signal analytique,” Cables et Transmission, vol. 2A, pp. 61–74, 1948.
3. L. Cohen, “Time-frequency distributions—a review,” Proc. IEEE, vol. 77, no. 7, pp. 941–981, 1989.
4. L. Cohen and C. Lee, “Instantaneous frequency, its standard deviation and multicomponent signals,” Proc. SPIE Int. Soc. Opt. Eng., vol. 975, pp. 186–208, 1988.
5. B. Boashash, G. Jones, and P. O'shea, “Instantaneous frequency of signals: Concepts, estimation techniques, and applications,” Proc. SPIE Int. Soc. Opt. Eng., vol. 1152, pp. 382–399, 1989.
6. B. Boashash, P. O'shea, and M. J. Arnold, “Algorithms for instantaneous frequency estimation: A comparative study,” Proc. SPIE Int. Soc. Opt. Eng., vol. 1348, 1990.
7. T. A. C. M. Claasen and W. F G. Mecklenbrauker, “The Wigner distribution—a tool for time-frequency signal analysis,” Parts I, II, and III, Philips J. Res., vol. 35, pp. 217–250, 276–300, and 372–389, 1980.
8. J. Shekel, “Instantaneous frequency,” Proc. IRE, vol. 41, p. 548, Apr. 1953.
9. L. M. Fink, “Relations between the spectrum and instantaneous frequency of a signal,” translated in: Problems Inform. Transmission, vol. 2, 11–21, 1966.
10. L. E. Franks, Signal Theory. Englewood Cliffs, NJ: Prentice-Hall, 1969, pp. 71–83.
11. L. Mandel, “Interpretation of instantaneous frequency,” Amer. J. Phys., vol. 42, pp. 840–864, 1974.
12. L. R. Rabiner and B. Gold, Theory and Application of Digital Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1975.
13. R. G. Wiley and W. R. Carmichael, “A practical procedure for estimation of instantaneous frequency,” IEEE Trans. Instrum. Meas., vol. IM-30, no. 1, pp. 76–79, 1981.
14. D. Y. Vakman, “Do we know what are the instantaneous frequency and instantaneous amplitude of a signal?” Radio Eng. Electron. Phys., vol. 21, no. 6, pp. 95–100, 1976.
15. L. J. Griffiths, “Rapid measurement of digital instantaneous frequency,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-23, pp. 207–222, 1975.
16. L. B. White and B. Boashash, “On estimating the instantaneous frequency of a Gaussian random signal by use of the Wigner-Ville distribution,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-36, no. 3, pp. 417–420, 1988.
17. A. V. Oppenheim and R. W. Schafer, DiscreteTime Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1989.
18. N. K. Bose, Digital Filters: Theory and Applications. Elsevier Science Pub. Co., 1985.
19. K. V. Mardia, Statistics of Directional Data. London: Academic, 1972.
20. F. J. Harris and H. A. Salem, “Performance comparison of Wigner-Ville based techniques to standard FM-discriminators for estimating instantaneous frequency of a rapidly slewing FM sinusoid in the presence of noise,” Proc. SPIE Int. Soc. Opt. Eng., vol. 975, pp. 232–244, 1988.
21. M. Sun, C. C. Li, L. N. Sekhar, and R. J. Sclabassi, “Efficient computation of discrete pseudo Wigner distribution,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, no. 11, pp. 1135–1142, 1989.
22. J. M. Tribolet, “A new phase unwrapping algorithm,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-25, no. 2, pp. 170–177, 1977.
23. H. al-Nashi, “Phase unwrapping of digital signals,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, no. 11, pp. 1693–1702, 1989.
24. D. G. Long, “Exact computation of the wrapped phase of a finite-length time series,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-36, pp. 1787–1790, 1988.
25. R. McGowan and R. Kuc, “A direct relation between a signal time series and its unwrapped phase,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-30, pp. 719–726, 1982.
26. J. W. Moura and A. B. Baggeroer, “Phase unwrapping of signals propagated under the arctic ice crust: A statistical approach,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-36, pp. 617–630, 1988.
27. S. Tretter, “Estimating the frequency of a noisy sinusoid by linear regression,” IEEE Trans. Inform. Theory, vol. IT-31, pp. 832–835, 1985.
28. L. Cohen and C. Lee, “Instantaneous frequency and time-frequency distributions,” in IEEE Proc. ISCAS, 1989, pp. 1231–1236.
29. B. Boashash, B. Lovell, and P. Kootsookos, “Time-frequency signal analysis and instantaneous frequency estimation methodology, relationship and implementations,” in IEEE Proc. ISCAS, 1989, pp. 1237–1240.
30. L. Cohen, “Generalized phase-space distribution functions,” J. Math. Phys., vol. 7, pp. 781–786, 1966.