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| Content Provider | IET Digital Library |
|---|---|
| Author | Paraskevas, Ioannis Barbarosou, Maria Chilton, Edward |
| 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. |
| Starting Page | 95 |
| Ending Page | 101 |
| Page Count | 7 |
| Volume Number | 2015 |
| e-ISSN | 20513305 |
| Issue Number | Issue 3, Mar (2015) |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/joe/2015/3 |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/10.1049/joe.2014.0350 |
| Journal | The Journal of Engineering |
| Publisher | The Institution of Engineering and Technology |
| Publisher Date | 2015-02-11 |
| Access Restriction | Open |
| Rights License | Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0/) |
| Subject Keyword | Convolution Forward Transforms Fourier Counterpart Fourier Phase Spectrum Fourier Transform Fourier Transforms Hartley Transform Hartley Transforms Integral Transforms Inverse Transforms Mathematical Transformation Phase Spectral Processing Phase Unwrapping Power Spectral Density Function Product-convolution Relationship Short-time Analysis Signal Phase Content Encapsulation Signal Processing And Detection Signal Processing Theory Time-shift Property Whitened Hartley Spectrum Wrapping Ambiguity |
| Content Type | Text |
| Resource Type | Article |
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