Paraskevas, I 
ORCID: https://orcid.org/0000-0002-9547-6444, Barbarosou, M and Chilton, E
2015,
'Hartley transform and the use of the Whitened Hartley spectrum as a tool for phase spectral processing'
, The Journal of Engineering, 2015 (3)
, pp. 95-101.
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Abstract
The Hartley transform is a mathematical transformation which is closely related to the better known Fourier transform. The properties that differentiate the Hartley Transform from its Fourier counterpart are that the forward and the inverse transforms are identical and also that the Hartley transform of a real signal is a real function of frequency. The Whitened Hartley spectrum, which stems from the Hartley transform, is a bounded function that encapsulates the phase content of a signal. The Whitened Hartley spectrum, unlike the Fourier phase spectrum, is a function that does not suffer from discontinuities or wrapping ambiguities. An overview on how the Whitened Hartley spectrum encapsulates the phase content of a signal more efficiently compared with its Fourier counterpart as well as the reason that phase unwrapping is not necessary for the Whitened Hartley spectrum, are provided in this study. Moreover, in this study, the product–convolution relationship, the time-shift property and the power spectral density function of the Hartley transform are presented. Finally, a short-time analysis of the Whitened Hartley spectrum as well as the considerations related to the estimation of the phase spectral content of a signal via the Hartley transform, are elaborated.
| Item Type: | Article |
|---|---|
| Schools: | Schools > School of the Built Environment > Centre for Urban Processes, Resilient Infrastructures & Sustainable Environments |
| Journal or Publication Title: | The Journal of Engineering |
| Publisher: | IET Digital Library |
| ISSN: | 2051-3305 |
| Related URLs: | |
| Depositing User: | I Paraskevas |
| Date Deposited: | 18 Mar 2019 11:46 |
| Last Modified: | 16 Feb 2022 01:18 |
| URI: | https://usir.salford.ac.uk/id/eprint/50476 |
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