Lui, J., Billings, S.A., Zhu, Z.Q. et al. (1 more author)
(2001)
Enhanced Frequency Analysis Using Wavelets.
Research Report.
ACSE Research Report 790
.
Department of Automatic Control and Systems Engineering
Abstract
An enhanced frequency analysis method is introduced using a phase shift wavelet representation to analyse individual frequency components and to reveal features of a given signal. The frequency representation provides details at each time location without the loss caused by local orthogonality between the wavelet basis functions and the given signal which occurs when a normal wavelet decomposition is employed. Movement of the local orthogonality locations, corresponding to the phase shift of the wavelet basis functions, are studied and it is shown that these movements are important and can be used to reveal features of the signal in the frequency domain, such as continuities, smoothness and trends. Several examples are presented to illustrate the method and an application to a permanent magnet synchronous drive system is provided to demonstrate the approach.
Metadata
Item Type:
Monograph
Authors/Creators:
Lui, J.
Billings, S.A.
Zhu, Z.Q.
Shen, J.
Copyright, Publisher and Additional Information:
The Department of Automatic Control and Systems Engineering research reports offer a forum for the research output of the academic staff and research students of the Department at the University of Sheffield. Papers are reviewed for quality and presentation by a departmental editor. However, the contents and opinions expressed remain the responsibility of the authors. Some papers in the series may have been subsequently published elsewhere and you are advised to cite the later published version in these instances
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