THE CHOI-WILLIAMS-ANALYSIS OF NON-LINEAR WAVE PROCESSES
Using the Choi-Williams transform, belonging to the Cohen’s class of non-linear transforms, the time-frequency analysis of the model signals with peculiarities, was made. The models of the Dirac δ-function and its first derivation, their sum with harmonic signal, the limited duration pulse, the shar...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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National Academy of Sciences of Ukraine, Institute of Radio Astronomy
2015-09-01
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| Series: | Radio Physics and Radio Astronomy |
| Subjects: | |
| Online Access: | http://rpra-journal.org.ua/index.php/ra/article/view/1218/853 |
| _version_ | 1818416128078118912 |
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| author | O. V. Lazorenko L. F. Chernogor |
| author_facet | O. V. Lazorenko L. F. Chernogor |
| author_sort | O. V. Lazorenko |
| collection | DOAJ |
| description | Using the Choi-Williams transform, belonging to the Cohen’s class of non-linear transforms, the time-frequency analysis of the model signals with peculiarities, was made. The models of the Dirac δ-function and its first derivation, their sum with harmonic signal, the limited duration pulse, the sharp changes of amplitude, phase and frequency, the break, the vertical bend, the spire as well as the sum of the spire and the harmonic signalwere studied. The results of сhoi-williams-, wigner- and fourieranalysis were compared. The mentioned transforms were shown to well supplement each other and allow finding more information about time-frequency structure of the signals investigated when they are used together. |
| first_indexed | 2024-12-14T11:45:57Z |
| format | Article |
| id | doaj.art-016bdd42443d40ef802c3ca5f6ef1182 |
| institution | Directory Open Access Journal |
| issn | 1027-9636 2415-7007 |
| language | English |
| last_indexed | 2024-12-14T11:45:57Z |
| publishDate | 2015-09-01 |
| publisher | National Academy of Sciences of Ukraine, Institute of Radio Astronomy |
| record_format | Article |
| series | Radio Physics and Radio Astronomy |
| spelling | doaj.art-016bdd42443d40ef802c3ca5f6ef11822022-12-21T23:02:34ZengNational Academy of Sciences of Ukraine, Institute of Radio AstronomyRadio Physics and Radio Astronomy1027-96362415-70072015-09-0120322323710.15407/rpra20.03.223THE CHOI-WILLIAMS-ANALYSIS OF NON-LINEAR WAVE PROCESSESO. V. Lazorenko0L. F. Chernogor1Kharkiv National University of Radio Electronics, 14, Nauka Av., Kharkiv, 61166, UkraineV. N. Kazarin Kharkiv National University, 4, Svoboda Sq., Kharkiv, 61022, UkraineUsing the Choi-Williams transform, belonging to the Cohen’s class of non-linear transforms, the time-frequency analysis of the model signals with peculiarities, was made. The models of the Dirac δ-function and its first derivation, their sum with harmonic signal, the limited duration pulse, the sharp changes of amplitude, phase and frequency, the break, the vertical bend, the spire as well as the sum of the spire and the harmonic signalwere studied. The results of сhoi-williams-, wigner- and fourieranalysis were compared. The mentioned transforms were shown to well supplement each other and allow finding more information about time-frequency structure of the signals investigated when they are used together.http://rpra-journal.org.ua/index.php/ra/article/view/1218/853time-frequency analysisnon-linear integral transformsignal with peculiarities |
| spellingShingle | O. V. Lazorenko L. F. Chernogor THE CHOI-WILLIAMS-ANALYSIS OF NON-LINEAR WAVE PROCESSES Radio Physics and Radio Astronomy time-frequency analysis non-linear integral transform signal with peculiarities |
| title | THE CHOI-WILLIAMS-ANALYSIS OF NON-LINEAR WAVE PROCESSES |
| title_full | THE CHOI-WILLIAMS-ANALYSIS OF NON-LINEAR WAVE PROCESSES |
| title_fullStr | THE CHOI-WILLIAMS-ANALYSIS OF NON-LINEAR WAVE PROCESSES |
| title_full_unstemmed | THE CHOI-WILLIAMS-ANALYSIS OF NON-LINEAR WAVE PROCESSES |
| title_short | THE CHOI-WILLIAMS-ANALYSIS OF NON-LINEAR WAVE PROCESSES |
| title_sort | choi williams analysis of non linear wave processes |
| topic | time-frequency analysis non-linear integral transform signal with peculiarities |
| url | http://rpra-journal.org.ua/index.php/ra/article/view/1218/853 |
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