Abstract
New details of the theory of harmonic wavelets are described and provide the basis for computational algorithms designed to compute high-definition time-frequency maps. Examples of the computation of phase using the complex harmonic wavelet and methods of signal segmentation based on amplitude and phase are described.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
L. Cohen. Time-Frequency Analysis. Prentice Hall, New Jersey, 1995.
C. H. Hodges, J. Power, and J. Woodhouse. The Use of the Sonogram in Structural Acoustics and an Application to the Vibrations of Cylindrical Shells. J. Sound Vib., 101:203–218, 1985.
P. J. Loughlin and G. D. Bernard. Cohen-Posch (positive) time-frequency distributions and their application to machine vibration analysis. Mech. Systems & Signal Processing, 11:561–576, 1997.
W. D. Mark. Spectral analysis of the convolution and filtering of non-stationary stochastic processes. J. Sound Vib., 11:19–63, 1970.
D. E. Newland. Mechanical Vibration Analysis and Computation. Addison Wesley Longman, 1989.
D. E. Newland. Harmonic Wavelet Analysis. Proc. R. Soc. Lond. A, 443:203–225, 1993.
D. E. Newland. Random Vibrations, Spectral and Wavelet Analysis, 3rd edition. Addison Wesley Longman, 1993.
D. E. Newland. Harmonic and Musical Wavelets. Proc. R. Soc. Lond. A, 444:605–620, 1994.
D. E. Newland. Wavelet Analysis of Vibration, Part 1: Theory. J. Vibration & Acoustics, Trans. ASME, 116:409–416, 1994.
D. E. Newland. Wavelet Analysis of Vibration, Part 2: Wavelet Maps. J. Vibration & Acoustics, Trans. ASME, 116:417–425, 1994.
D. E. Newland. Wavelet Theory and Applications. In Proc. 3rd Int. Congress on Sound and Vibration, Montreal, Canada (published by Int. Science Publications, AL, USA), pp. 695-713, 1994. Reprinted as Wavelet Analysis of Vibration Signals, Part 1. Int. J. Acoustics and Vib., 1(1): 11–16, 1997.
D. E. Newland. Time-Frequency Analysis by Harmonic Wavelets and by the Short-Time Fourier Transform. In Proc. 4th Int. Congress on Sound and Vibration, St. Petersburg, Russia (published by Int. Science Publications, AL, USA), 3, pp. 1975–1982, 1996. Reprinted as Wavelet Analysis of Vibration Signals, Part 2. Int. J. Acoustics and Vib., 2(1):21-27, 1997.
D. E. Newland. Practical signal analysis: Do wavelets make any difference? In Proc. 1997 ASME Design Engineering Technical Conferences, 16th Biennial Conf. on Vibration and Noise, Paper DETC97/VIB-4135 (CD ROM ISBN 0 7918 1243 X), Sacramento, California, 1997.
D. E. Newland. Application of Harmonic Wavelets to Time-Frequency Mapping. In Proc. 5th Int. Congress on Vibration and Acoustics, 4, pp. 2043–2054 (Paper No. 260, CD ROM ISBN 1 876346 06 X), University of Adelaide, Australia, 1997.
C. Tait and W. Findlay. Wavelet Analysis for Onset Detection. In Proc. Int. Computer Music Conf, ICMA, Hong Kong, pp. 500–503, 1996.
J. Ville. Théorie et Applications de la Notion de Signal Analytique. Câbles et Transmission, 2:61–74, 1948.
E. P. Wigner. On the Quantum Correction for Thermodynamic Equilibrium. Physical Review Letters, 40:749–759, 1932.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer Science+Business Media New York
About this chapter
Cite this chapter
Newland, D.E. (1998). Time-Frequency and Time-Scale Signal Analysis by Harmonic Wavelets. In: Procházka, A., UhlĂĹ™, J., Rayner, P.W.J., Kingsbury, N.G. (eds) Signal Analysis and Prediction. Applied and Numerical Harmonic Analysis. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1768-8_1
Download citation
DOI: https://doi.org/10.1007/978-1-4612-1768-8_1
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-7273-1
Online ISBN: 978-1-4612-1768-8
eBook Packages: Springer Book Archive