Discrete reduced interference distributions

Applications in Time-Frequency Signal Processing

Volumn , Issue , 2002, Pages 273-306

  Williams, William J ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010799040     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (47)

1. L. Cohen, Time-Frequency Signal Analysis, Prentice Hall, NewYork, 1995.
2. P. Flandrin, Time-Frequency Time Scale Analysis, Academic Press, San Diego, CA, 1999.
3. L. Cohen and T. Posch, Generalized ambiguity functions, in Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing, 85, 1025-1028, 1985.
4. H.I. Choi and W.J. Williams, Improved time-frequency representation of multicomponent signals using exponential kernels, IEEE Trans. Acoust. Speech Signal Process., 37(6), 862-871, 1989.
5. W.J. Williams, Reduced interference distributions: biological applications and interpretations, in Proceedings of the IEEE, 84(9), 1264-1280, 1996.
6. W.J. Williams, The reduced interference distribution, in Time-Frequency and Wavelets in Biomedical Signal Processing, M. Akay, Ed., IEEE Press, Piscatawny, NJ, 1997, pp. 3-39.
7. L. Cohen, Time-frequency distributions-areview, in Proceedings of the IEEE, 77(7), 941-981, 1989.
8. Y. Zhao, L.E. Atlas, and R.J. Marks, II, The use of cone-shaped kernels for generalised time-frequency representations of non-stationary signals, IEEE Trans. Acoust. Speech Signal Process., 38(7), 1084-1091, 1990.
9. J.C. O’Neill and W.J. Williams, Shift covariant time-frequency distributions of discrete signals, IEEE Trans. Signal Process., 47(1), 133-146, 1999.
10. J.C. O’Neill, P. Flandrin, and W.J. Williams, On the existance of discrete Wigner distributions, IEEE Signal Process. Lett., 6(12), 1999.
11. T.A.C.M. Claasen and W.F.G. Mecklenbräuker, The Wigner distribution - a tool for time-frequency signal analysis-Part II. Discrete time signals, Philips J. Res., 35, 276-300, 1980.
12. T.A.C.M. Classen and W.F.G. Mecklenbräuker, The aliasing problem in discrete-time Wigner distributions, IEEE Trans. Acoust. Speech Signal Process., ASSP-31(5), 1067-1072, 1983.
13. F. Peyrin and R. Prost, A unified definition for the discrete-time discretefrequency, and discrete-time/frequency Wigner distributions, IEEE Trans. Acoust. Speech Signal Process., ASSP-34(4), 858-867, 1986.
14. A.H. Nuttall, Alias-free discrete-time Wigner distribution function and complex ambiguity function, Naval Underwater Systems Centre, April 14, 1989, Technical report 8533.
15. J. Jeong and W.J. Williams, Alias-free generalized discrete-time time-frequency distributions, IEEE Trans. Signal Process., 40(11), 2757-2765, 1992.
16. E.C. Bekir, A contribution to the unaliased discrete-time Wigner distribution, J. Acoust. Soc. Am., 93(1), 363-371, 1993.
17. W.J. Williams and J. Jeong, Reduced interference time-frequency distributions, in Time-Frequency Signal Analysis: Methods and Applications, B. Boashash, Ed., Longman Cheshire, Melbourne, Australia, 1991, chap. 3.
18. L. Cohen, Generalized phase-space distribution functions, J. Math. Phys., 7, 781-786, 1966.
19. J.M. Morris and D. Wu, On alias-free formulations of discrete Cohen’s class distributions, IEEE Trans. Signal Process., 44(6), 1355-1364, 1996.
20. A.H. Costa and G.F. Boudreaux-Bartels, An overview of aliasing errors in discrete-time formulations of time-frequency distributions, IEEE Trans. Signal Process., 47(5), 1463-1474, 1999.
21. L.J. Stanković and I. Djurović, A note on “an overview of aliasing errors in discrete-time formulations of time-frequency representations,” IEEE Trans. Signal Process., 40(1), 257-259, 2001.
22. J. Jeong and W.J. Williams, Kernel design for reduced interference distributions, IEEE Trans. Signal Process., 40(2), 402-412, 1992.
23. B. Boashash, Time-frequency signal analysis, in Advances in Spectrum Estimation, S. Haykin, Ed., Prentice Hall, NewYork, 1989, pp. 418-517.
24. W.J. Williams, Reduced interference time-frequency distributions: scaled decompositions and interpretations, in Wavelet Transforms and Time-Frequency Signal Analysis, L. Debnath, Ed., Birkhäuser, Boston, 2001, pp. 381-417.
25. D.T. Barry, Fast calculation of the Choi-Williams distribution, IEEE Trans. Signal Process., 40(2), 450-455, 1992.
26. J.R. O’Hair and B.W. Suter, The Zak transform and decimated time-frequency distributions, IEEE Trans. Signal Process., 44(5), 1099-1110, 1996.
27. G.S. Cunningham and W.J. Williams, Fast implementations of discrete timefrequency distributions, IEEE Trans. Signal Process., 42(6), 1496-1508, 1994.
28. T. Le and M. Glesner, A flexible and approximate computing approach for time-frequency distributions, IEEE Trans. Signal Process., 48(4), 1193-1196, 2000.
29. W.J. Williams and S. Aviyente, Optimum window time-frequency distribution decompositions, in IEEE Proceedings of the 32nd Asilomar Conference on Signals, Systems and Computers, 1, 817-821, 1998.
30. S.S. Aviyente and W.J. Williams, Discrete scale vectors and decomposition of time-frequency kernels, Adv. Signal Process. Algorithms, Architectures, Implementations X, Proc. SPIE, 4116, 100-109, 2000.
31. M.G. Amin, Spectral decomposition of time-frequency distribution kernels, IEEE Trans. Signal Process., 42(5), 1156-1165, 1994.
32. G.T. Venkatesan and M.G. Amin, Time-frequency distribution kernel design over a discrete powers-of-two space, IEEE Signal Process. Lett., 3(12), 305-306, 1996.
33. P.J. Loughlin, J.W. Pitton, and L.E. Atlas, Construction of positive timefrequency distributions, IEEE Trans. Signal Process., 42(10), 2679-2705, 1994.
34. W.A. Watkins, The harmonic interval fact or artefact in spectral analysis of pulse trains, Mar. Bio-acoustics, 2, 15-43, 1966.
35. E. Zalubas, J. O’Neill, W. Williams, and A. Hero, Shift and scale invariant detection, in Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing, 5, 3637-3640, 1997.
36. W.J. Williams, E.J. Zalubas, R.M. Nickel, and A.O. Hero, III, Scale and translation invariant methods for enhanced time-frequency pattern recognition, Multidimensional Syst. Signal Process., 9(4), 465-473, 1998.
37. R.M. Nickel and W.J. Williams, On local time-frequency features of speech and their employment in speaker verification, J. Franklin Inst., 337(4), 469-481, 2000.
38. H.P. Zaveri, W.J. Williams, L.D. Iasemidis, and J.C. Sackellares, Timefrequency representations of electrocorticograms in temporal lobe epilepsy, IEEE Trans. Biomed. Eng., 39(5), 502-509, 1992.
39. W.J. Williams, S.E. Widmalm, and C.S. Zheng, Time-frequency distributions of tmj sounds, J. Oral Rehabil., 18, 403-412, 1991.
40. D. Djurdjanovic, S.E. Widmalm, W.J. Williams, C.K.H. Koh, and K.P. Yang, Computerized classification of temporomandibular joint sounds, IEEE Trans. Biomed. Eng., 47(8), 977-984, 2000.
41. D.T. Barry and N.M. Cole, Muscle sounds occur at the resonant frequency of skeletal muscle, IEEE Trans. Biomed. Eng., 37, 525-531, 1990.
42. J.C. Wood and D.T. Barry, Quantification of first heart sound frequency dynamics across the human chest wall, Med. Biol. Eng. Comput., 32, S71-S78, 1994.
43. J.C. Wood, A.J. Buda, and D.T. Barry, Time-frequency transforms: a new approach to first heart sound frequency analysis, IEEE Trans. Eng. Med. Biol., 39(7), 728-739, 1992.
44. L.E. Atlas, G.D. Bernard, and S.B. Narayanan, Applications of time-frequency analysis to signals from manufacturing and machine monitoring sensors, in Proceedings of the IEEE, 84(9), 1319-1329, 1996.
45. W.J. Williams, C.K.H. Koh, and J. Ni, Bearing monitoring using reduced interference time-frequency distributions, in Life Extension of Aging Machinery and Structures, H.C. Pusey and S.C. Pusey, Eds., The Vibration Institute, 1995, pp. 315-326.
46. C.W. Peters, R.L. Jaynes, Y.Y. Lau, R.M. Gilgenbach, W.J. Williams, J.M. Hochman, W.E. Cohen, J.I. Rintamaki, D.E. Vollers, and T.A. Spencer, Time-frequency analysis of modulation of high-power microwaves by electronbeam voltage fluctuations, Phys. Rev. E, 58(5), 6880-6883, 1998.
47. C. Baudet, O. Michel, and W.J. Williams, Detection of coherent vorticity structures using time-scale resolved acoustic spectroscopy, Phys. D, 128(1), 1-17, 1999.