The analysis of non-stationary signals using time-frequency methods

Journal of Sound and Vibration

Volumn 190, Issue 3, 1996, Pages 419-447

  Hammond, J K ^a   White, P R ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC SIGNAL PROCESSING; MATHEMATICAL MODELS; NUMERICAL METHODS; STATISTICAL METHODS;

COHEN CLASS DISTRIBUTIONS; DETERMINISTIC SIGNALS; EVOLUTIONARY SPECTRA; SIGNAL GENERATION; STOCHASTIC NONSTATIONARY SIGNALS; TIME FREQUENCY ANALYSIS; TIME FREQUENCY DISTRIBUTIONS; WIGNER-VILLE DISTRIBUTIONS;

ACOUSTICS;

EID: 0030085339     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0072     Document Type: Article

References (53)

1. M. B. PRIESTLEY 1965 Journal of the Royal Statistical Society B27, 204-237. Evolutionary spectra and nonstationary processes.
2. M. B. PRIESTLEY 1967 Journal of Sound and Vibration 6, 86-97. Power spectral analysis of nonstationary processes.
3. J. K. HAMMOND 1968 Journal of Sound and Vibration 7, 393-416. On the response of single and multidegree of freedom systems to nonstationary excitations.
4. D. GABOR 1946 Journal of the IEEE, London 93(III), 429-457. Theory of communication.
5. H. P. HSU 1970 Fourier Analysis. New York: Simon and Schuster.
6. L. ZADEH and C. DESOER 1963 Linear System Theory. New York: McGraw-Hill.
7. K. KODERA, C. de VILLEDARY and R. GENDRIN 1976 Physics of the Earth Planetary Interiors 12, 142-150. A new method for the numerical analysis of nonstationary signals.
8. K. KODERA, R. GENDRIN and C. de VILLEDARY 1978 IEEE Transactions on Acoustics, Speech and Signal Processing ASSP-26(1), 64-76. Analysis of time-varying signals with small BT values.
9. B. BOASHASH 1987 Proceedings of the ASTED International Symposium on Signal Processing and its Applications, Brisbane, Australia, 261-268. Nonstationary signals and the Wigner-Ville distributions: a review.
10. J. B. ROBERTS 1965 Journal of Sound and Vibration 2, 375-390. On the harmonic analysis of evolutionary random vibration.
11. J. C. HARDIN and A. G. MIAMEE 1990 Journal of Sound and Vibration 142, 191-202. Correlation autoregressive processes with application to helicopter noise.
12. M. B. PRIESTLEY 1966 Journal of the Royal Statistical Society B28, 228. Design relations for nonstationary processes.
13. M. B. PRIESTLEY and H. TONG 1973 Journal of the Royal Statistical Society B35, 153-188. On the analysis of bivariate non-stationary processes.
14. G. J. DANIELL 1969. Proceedings of the Symposium on Applications and Methods of Random Data Analysis, ISVR, University of Southampton. The representation of signals in frequency and time.
15. R. Y. JOHN 1991 Ph.D. Thesis, University of Southampton. Adaptive filtering and the identification of tones in broadband noise.
16. C. W. HELSTROM 1966 IEEE Transactions on Information Theory IT12, 81. An expansion of a signal in Gaussian elementary signals.
17. L. K. MONTGOMERY and I. S. REED 1967 IEEE Transactions on Information Theory IT13, 344-345. A generalisation of the Gabor-Helstrom transform.
18. J. K. HAMMOND 1971 Ph.D. Thesis, University of Southampton. Frequency time methods in vibrations.
19. I. DAUBECHIES 1991 in Advances in Spectrum Analysis and Array Processing, Vol. 1 (S. Haykin, ed.) 366-417. Englewood Cliffs: Prentice-Hall, Chapter 8: The wavelet transform: A method for time-frequency localisation.
20. L. COHEN 1989 Proceedings of the IEEE 77(7), 941-981. Time-frequency distributions - A review.
21. T. A. C. M. CLAASEN and W. F. G. MECKLENBRAUKER 1980 Philips Journal of Research 35. The Wigner distribution - a tool for time-frequency analysis, parts I, II, III.
22. T. A. C. M. CLAASEN and W. F. G. MECKLENBRAUKER 1984 Proceedings of the ICASSP, 41B7. 1-4. On the time-frequency discriminations: can they look sharper than Heisenberg?
23. C. P. JANSE and A. J. M. KAISER 1983 Journal of the Audio Engineering Society 31, 198-223. Time-frequency distributions of loudspeakers: the application of the Wigner distribution.
24. J. S. BENDAT and A. G. PIERSOL 1966 Measurement and Analysis of Random Data. New York: John Wiley.
25. W. D. MARK 1970 Journal of Sound and Vibration 11, 19-64. Spectral analysis of the convolution and filtering of nonstationary stochastic processes.
26. H.-I. CHOI and W. J. WILLIAMS 1989 IEEE Transactions on Acoustics, Speech and Signal Processing 37, 862-871. Improved time-frequency representation of multicomponent signals using exponential kernels.
27. Y. ZHAO, L. E. ALTAS and R. MARKS 1990 IEEE Transactions on Acoustics, Speech and Signal Processing 38(7), 1984-1091. The use of cone-shaped kernels for generalised time-frequency representations of nonstationary signals.
28. J. JEONG and W. J. WILLIAMS 1992 IEEE Transactions on Acoustics, Speech and Signal Processing 40(2), 402-412. Kernel design for reduced interference distributions.
29. L. COHEN 1992 in Time Frequency Signal Analysis Methods and Applications (B. Boashash, editor), 3-42. Longman Chesire Ltd. Introduction: a primer on time-frequency analysis.
30. J. JEONG and W. J. WILLIAMS 1992 in Time Frequency Signal Analysis Methods and Applications (B. Boashash, editor), 389-405. Melbourne: Longman Chesire Ltd. Time-varying filtering and signal synthesis.
31. F. HLAWATSCH and W. KOZEK 1994 IEEE Transactions on Signal Processing 42(12), 3321-3334. Time-frequency projection filters and time-frequency signal expansions.
32. J. CACKO, M. BILY and J. BUKOVECZKY 1988 Random Processes: Measurement, Analysis and Simulation. Fundamental Studies in Engineering, 8. Amsterdam: Elsevier.
33. P. FLANDRIN and O. RIOUL 1990 Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing, Albuquerque, U.S.A., 2455-2458. Wavelets and affine smoothing of the Wigner-Ville distribution.
34. O. RIOUL and P. FLANDRIN 1992 IEEE Transactions on Signal Processing 40(7), 1746-1757. Time-scale energy distributions: a general class extending wavelet transforms.
35. O. RIOUL and M. VETTERLI 1991 IEEE Signal Processing Magazine 14-38. Wavelets and signal processing.
36. F. HLAWATSCH and G. F. BOUDREAUX-BARTELS 1992 IEEE Signal Processing Magazine 21-55. Linear and quadratic time-frequency signal representations.
37. J. K. HAMMOND, J. S. LEE and R. F. HARRISON 1986 Proceedings of the ICASSP, Tokyo. The relationship between Wigner-Ville and evolutionary spectra for frequency modulated random processes.
38. J. K. HAMMOND 1992 Proceedings of the 14th ICA Beijing, L2-1. Analytic time-frequency spectra for acoustic and vibration signals.
39. J. K. HAMMOND, R. F. HARRISON, Y. H, TSAO and J. S. LEE 1993 in Developments in Time Series Analysis (in Honour of M. B. Priestley) (T. Subba Rao, editor) London: Chapman and Hall, 355-373. The prediction of time-frequency spectra using covariance equivalent models.
40. W. A GARDINER 1987 Statistical Spectral Analysis: A Non-probabilistic Theory. Englewood Cliffs, New Jersey: Prentice-Hall.
41. P. J. LOUGHLIN, J. W. PITTON and L. E. ATLAS 1993 IEEE Transactions on Signal Processing 41(2), 750-767. Bilinear time-frequency representation: new insights and properties.
42. T. J. WAHL and J. S. BOLTON 1993 Journal of Sound and Vibration 163, 101-122. The application of the Wigner distribution to the identification of structure-borne noise components.
43. N. KHALILI and J. K. HAMMOND 1993 Journal of Mechanical Systems and Signal Processing 7(5), 425-449. Application of cepstral techniques for the determination of reflection coefficients for dispersive systems: part I theory and numerical results; part II, comparison between theory and experiment.
44. J. C. MOSS and J. K. HAMMOND 1994 Mechanical Systems and Signal Processing 8(3), 243-258. A comparison between the modified spectrogram and the pseudo-Wigner-Ville distribution with and without modification.
45. F. AUGER and P. FLANDRIN 1995 IEEE Transactions on Signal Processing 43(5), 1068-1089. Improving the readability of time-frequency and time-scale representations by the reassignment method.
46. Ph. GUILLEMAIN and P. R. WHITE 1995 IEEE Signal Processing Chapter U.K. Symposium on Applications of Time-Frequency and Time-Scale Methods, University of Warwick, Coventry. Wavelet transforms for the analysis of dispersive systems.
47. Y. H. TSAO 1983 Ph.D. Thesis, University of Southampton. Aspects of evolutionary spectral analysis with applications to problems in acoustics.
48. R. F. HARRISON 1983 Ph.D. Thesis, University of Southampton. The nonstationary response of vehicles on rough ground.
49. J. S. LEE 1989 Ph.D. Thesis, University of Southampton. Time-varying filter modelling and time-frequency characterisation of nonstationary sound fields due to a moving source.
50. J. S. LEE and J. K. HAMMOND 1987 Proceedings of the ICASSP, Dallas, 41.8.1-4.1.8.4. Estimation of the directionality pattern of a moving acoustic source.
51. R. F. HARRISON and J. K. HAMMOND 1986 Journal of Sound and Vibration 107, 29-38. Evolutionary (frequency/time) spectral analysis of the response of vehicles moving on rough ground by using covariance equivalent modelling.
52. J. K. HAMMOND and R. F. HARRISON 1985 Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing, Tampa, Florida, 1025-1027. Wigner-Ville and evolutionary spectra for covariance equivalent non-stationary random processes.
53. S. NARAYANAM and G. V. RAJU 1992 Vehicle System Dynamics 21(2), Active control of nonstationary response with nonlinear suspensions.