Local bandwidth and optimal windows for the short time fourier transform

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 1152, Issue , 1989, Pages 401-425

  Cohen, Leon ^a   Lee, Chongmoon ^b  

^a NAVAL UNDERSEA WARFARE CENTER   (United States)

^b UNIVERSITY OF NEW MEXICO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BANDWIDTH; COMPUTER ARCHITECTURE; FOURIER TRANSFORMS; SPECTROGRAPHS;

EXPLICIT FORMULA; INSTANTANEOUS FREQUENCY; LOCAL BANDWIDTHS; SERIES EXPANSION; SHORT TIME FOURIER TRANSFORMS; STANDARD DEVIATION; TIME-FREQUENCY DISTRIBUTIONS; UNCERTAINTY RELATIONSHIP;

SIGNAL PROCESSING;

EID: 0001736620     PISSN: 0277786X     EISSN: 1996756X     Source Type: Conference Proceeding    
DOI: 10.1117/12.962295     Document Type: Conference Paper

References (21)

1. R. Altes, "Detection, Estimation and Classification with Spectrograms," J. Acoust. Soc. Amer., vol. 67, pp. 1232-1246, 1980.
2. N. F. Barber and Ursell F., "The Response of a Resonant System to a Gliding Tone," Phil. Mag. vol. 39, 345-361 1948.
3. B. Boashash, "Time -Frequency Signal Analysis, The Choice of a Method and its Applications," in: Advances in Spectral Analysis, S. Haykin, Editor, Prentice Hall, to appear.
4. B. Boashash, G. Jones and P. O’Shea, "Time -Frequency Analysis and Instantaneous Frequency Estimation: Implementation and Applications," This volume.
5. T.A.C.M. Claasen and W.F.G. Mecklenbrauker, "The Wigner Distribution - A Tool for Time -Frequency Signal Analysis - Park III: Relations With Other Time -Frequency Signal Transformations," Philips J. Research, vol. 35, pp. 372-389, 1980.
6. L. Cohen, "Generalized Phase -Space Distribution Functions ", J. Math. Phys., vol. 7, pp. 781-786, 1966.
7. L. Cohen and C. Lee, "Instantaneous Frequency, Its Standard Deviation and Multicomponent Signals," in: Advanced Algorithms and Architectures for Signal Processing III, Franklin T. Luk, Editor, Proc. SPIE 975, pp. 186-208, 1989.
8. L. Cohen, "Delta Function Distribution for FM signals," in preparation.
9. A. Dziewonski, S. Bloch, and M. Landisman, "A Technique for the Analysis of Transient Signals," Bull. Seism. Soc. Am., vol. 59, pp. 427-444, 1969.
10. L. M. Fink, "Relations Between The Spectrum And Instantaneous Frequency Of A Signal," Translated in: Problems Inform. Transm., vol. 2, pp. 11-21, 1966.
11. J. Imberger and Boashash, B., "Application of the Winger -Ville Distribution to Temperature Gradient Microstructure: A new Technique to Study Small-Scale Variations," Jour. of Physical Oceanography, vol. 16, pp. 1997-2012, 1986.
12. D. L. Jones and T. W. Parks, "A High -Resolution Data- Adaptive Time-Frequency Representation," Proc. IEEE ICASSP 87, pp. 681-683.
13. K. Kodera, C. De Villedary, and R. Gendrin, "A New Method for the Numerical Analysis of Non-Stationary Signals," Physics of the Earth and Planetary Interiors, vol. 12, pp. 142-150, 1976.
14. K. Kodera, R. Gendrin and C. de Villedary, "Analysis of Time -Varying Signals with Small BT Values," IEEE Trans. Acoust., Speech, Signal Processing, Processing, vol. 26, pp. 64-76, 1978.
15. A. L. Levshin, V. F. Pisarenko, and G. A. Pogrebinsky, "On a Frequency -Time Analysis of Oscillations," Ann. Geophys. vol. 28, pp. 211-218, 1972.
16. L. Mandel, "Interpretation of Instantaneous Frequency," Amer. Jour. Phys., vol. 42, pp. 840-846, 1974.
17. A. H. Nuttall, "Wigner Distribution Function: Relation to Short -Term Spectral Estimation, Smoothing, and Performance in Noise," NUSC Technical Report 8225, 16 February 1988.
18. F. Sabet -Peyman, private communication.
19. L. R.O. Storey, "An Investigation of Whistling Atmospherics," Phil. Trans. Roy. Soc. vol. A246, pp. 113-141, 1953.
20. J. Ville, "Theorie et Applications de la Notion de Signal Analytique," Cables et Transmission, vol. 2 A, pp. 61-74, 1948.
21. L. B. White and B. Boashash, "On Estimating the Instantaneous Frequency of a Gaussian Random Signal by the Use of the Wigner -Ville Distribution," IEEE Trans. Acoust., Speech, Signal Processing, Processing, vol. ASSP -36, pp. 417-420, 1988.