The Choi–Williams Analysis of the Non-Linear Wave Processes
The nonlinear wave process has been analysed with the Choi–Williams transform which belongs to the Cohen transforms class. The models of shock waves, classical soliton, soliton of envelope, solution of Burgers–Kortewegde Vries equation, i.e. the centaur solution, and models of cnoidal and saw-tooth...
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| Дата: | 2012 |
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| Формат: | Стаття |
| Мова: | rus |
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Видавничий дім «Академперіодика»
2012
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| Онлайн доступ: | http://rpra-journal.org.ua/index.php/ra/article/view/514 |
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| Назва журналу: | Radio physics and radio astronomy |
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oai:ri.kharkov.ua:article-5142012-12-08T22:29:51Z The Choi–Williams Analysis of the Non-Linear Wave Processes Чои–вильямс-анализ нелинейных волновых процессов Vishnivetsky, O. V. Lazorenko, O. V. Chernogor, L. F. The nonlinear wave process has been analysed with the Choi–Williams transform which belongs to the Cohen transforms class. The models of shock waves, classical soliton, soliton of envelope, solution of Burgers–Kortewegde Vries equation, i.e. the centaur solution, and models of cnoidal and saw-tooth waves are studied. The results of Choi–Williams-, Wignerand Fourier-analysis are compared. The aforesaid transforms are shown to well supplement each other and when used together allow to acquire more information about the investigated signals or processes. Проведен анализ ряда нелинейных волновых процессов при помощи преобразования Чои–Вильямса, относящегося к классу преобразований Коэна. Изучены модели ударных волн, классического солитона, солитона огибающей, решение уравнения Бюргерса–Кротевега–де Вриза – “решение кентавр”, а также модели кноидальной и пилообразной волн. Сравниваются результаты чои–вильямс-, вигнер- и фурье-анализа. Показано, что указанные преобразования хорошо дополняют друг друга и при совместном использовании позволяют получить большее количество информации об исследуемом сигнале или процессе. Видавничий дім «Академперіодика» 2012-12-08 Article Article application/pdf http://rpra-journal.org.ua/index.php/ra/article/view/514 РАДИОФИЗИКА И РАДИОАСТРОНОМИЯ; Vol 14, No 3 (2009); 293 RADIO PHYSICS AND RADIO ASTRONOMY; Vol 14, No 3 (2009); 293 РАДІОФІЗИКА І РАДІОАСТРОНОМІЯ; Vol 14, No 3 (2009); 293 2415-7007 1027-9636 rus http://rpra-journal.org.ua/index.php/ra/article/view/514/79 |
| institution |
Radio physics and radio astronomy |
| collection |
OJS |
| language |
rus |
| format |
Article |
| author |
Vishnivetsky, O. V. Lazorenko, O. V. Chernogor, L. F. |
| spellingShingle |
Vishnivetsky, O. V. Lazorenko, O. V. Chernogor, L. F. The Choi–Williams Analysis of the Non-Linear Wave Processes |
| author_facet |
Vishnivetsky, O. V. Lazorenko, O. V. Chernogor, L. F. |
| author_sort |
Vishnivetsky, O. V. |
| title |
The Choi–Williams Analysis of the Non-Linear Wave Processes |
| title_short |
The Choi–Williams Analysis of the Non-Linear Wave Processes |
| title_full |
The Choi–Williams Analysis of the Non-Linear Wave Processes |
| title_fullStr |
The Choi–Williams Analysis of the Non-Linear Wave Processes |
| title_full_unstemmed |
The Choi–Williams Analysis of the Non-Linear Wave Processes |
| title_sort |
choi–williams analysis of the non-linear wave processes |
| title_alt |
Чои–вильямс-анализ нелинейных волновых процессов |
| description |
The nonlinear wave process has been analysed with the Choi–Williams transform which belongs to the Cohen transforms class. The models of shock waves, classical soliton, soliton of envelope, solution of Burgers–Kortewegde Vries equation, i.e. the centaur solution, and models of cnoidal and saw-tooth waves are studied. The results of Choi–Williams-, Wignerand Fourier-analysis are compared. The aforesaid transforms are shown to well supplement each other and when used together allow to acquire more information about the investigated signals or processes. |
| publisher |
Видавничий дім «Академперіодика» |
| publishDate |
2012 |
| url |
http://rpra-journal.org.ua/index.php/ra/article/view/514 |
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2024-05-26T06:33:25Z |
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2024-05-26T06:33:25Z |
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