Two Dimensional Short Time Hartley Transforms
The Hartley transform, as in the case of the Fourier transform, is not suitably applicable to non-stationary representations of signals whose statistical properties change as a function of time. Hence, different versions of 2-D short time Hartley transforms (STHT) are given in comparison with the sh...
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| Format: | Article |
| Language: | English |
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Sultan Qaboos University
2016-11-01
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| Series: | Sultan Qaboos University Journal for Science |
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| Online Access: | https://journals.squ.edu.om/index.php/squjs/article/view/452 |
| _version_ | 1817968724476428288 |
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| author | Narasimman Sundararajan Alaeddin Ebrahimi Nannappa Vasudha |
| author_facet | Narasimman Sundararajan Alaeddin Ebrahimi Nannappa Vasudha |
| author_sort | Narasimman Sundararajan |
| collection | DOAJ |
| description | The Hartley transform, as in the case of the Fourier transform, is not suitably applicable to non-stationary representations of signals whose statistical properties change as a function of time. Hence, different versions of 2-D short time Hartley transforms (STHT) are given in comparison with the short time Fourier transform (STFT). Although the two different versions of STHT defined here with their inverses are equally applicable, one of them is mathematically incorrect/incompatible due to the incorrect definition of the 2-D Hartley transform in literature. These definitions of STHTs can easily be extended to multi-dimensions. Computations of the STFT and the two versions of STHTs are illustrated based on 32 channels (traces) of synthetic seismic data consisting of 256 samples in each trace. Salient features of STHTs are incorporated. |
| first_indexed | 2024-04-13T20:12:31Z |
| format | Article |
| id | doaj.art-2c149b3eb6b14606a621c0c42adaf1a5 |
| institution | Directory Open Access Journal |
| issn | 1027-524X 2414-536X |
| language | English |
| last_indexed | 2024-04-13T20:12:31Z |
| publishDate | 2016-11-01 |
| publisher | Sultan Qaboos University |
| record_format | Article |
| series | Sultan Qaboos University Journal for Science |
| spelling | doaj.art-2c149b3eb6b14606a621c0c42adaf1a52022-12-22T02:31:48ZengSultan Qaboos UniversitySultan Qaboos University Journal for Science1027-524X2414-536X2016-11-01211414710.24200/squjs.vol21iss1pp41-47447Two Dimensional Short Time Hartley TransformsNarasimman Sundararajan0Alaeddin Ebrahimi1Nannappa Vasudha2Department of Earth Science, College of Science, Sultan Qaboos University, P.O.Box: 36, PC 123, Al-khod, Muscat, Sultanate of OmanDepartment of Earth Science, College of Science, Sultan Qaboos University, P.O.Box: 36, PC 123, Al-khod, Muscat, Sultanate of OmanDepartment of Mathematics, Vasavi College of Engineering, Hyderabad, IndiaThe Hartley transform, as in the case of the Fourier transform, is not suitably applicable to non-stationary representations of signals whose statistical properties change as a function of time. Hence, different versions of 2-D short time Hartley transforms (STHT) are given in comparison with the short time Fourier transform (STFT). Although the two different versions of STHT defined here with their inverses are equally applicable, one of them is mathematically incorrect/incompatible due to the incorrect definition of the 2-D Hartley transform in literature. These definitions of STHTs can easily be extended to multi-dimensions. Computations of the STFT and the two versions of STHTs are illustrated based on 32 channels (traces) of synthetic seismic data consisting of 256 samples in each trace. Salient features of STHTs are incorporated.https://journals.squ.edu.om/index.php/squjs/article/view/452Fourier transformHartley transformWavelet transformTimeFrequency and Window. |
| spellingShingle | Narasimman Sundararajan Alaeddin Ebrahimi Nannappa Vasudha Two Dimensional Short Time Hartley Transforms Sultan Qaboos University Journal for Science Fourier transform Hartley transform Wavelet transform Time Frequency and Window. |
| title | Two Dimensional Short Time Hartley Transforms |
| title_full | Two Dimensional Short Time Hartley Transforms |
| title_fullStr | Two Dimensional Short Time Hartley Transforms |
| title_full_unstemmed | Two Dimensional Short Time Hartley Transforms |
| title_short | Two Dimensional Short Time Hartley Transforms |
| title_sort | two dimensional short time hartley transforms |
| topic | Fourier transform Hartley transform Wavelet transform Time Frequency and Window. |
| url | https://journals.squ.edu.om/index.php/squjs/article/view/452 |
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