| Форма представления | Статьи в зарубежных журналах и сборниках |
| Год публикации | 2025 |
| Язык | английский |
|
Литвинов Александр Алексеевич, автор
Осокин Сергей Игоревич, автор
|
|
Нигматуллин Равиль Рашидович, автор
|
| Библиографическое описание на языке оригинала |
Nigmatullin R.R. New Possibilities of the Fourier Transformation: How to Describe an Arbitrary Frequency-Phase Modulated Signal? / R.R. Nigmatullin, A.A. Litvinov, S.I. Osokin // Automatic Documentation and Mathematical Linguistics. — 2025. — Vol. 59. — Suppl. 2. — PP. S152–S159. |
| Аннотация |
In this paper, the authors identify a transformation that is valid for any arbitrary signal. This transformation is strictly periodical and therefore it allows the ordinary F-transformation to be applied for the fitting of the transformed signal. The most interesting application (in accordance with the authors' opinion) is the fitting of the frequency-phase modulated signals that actually located inside the found transformation. This new transformation will be useful for the application of the responses of different complex systems when
an ordinary model is absent. As available information we consider meteorological data corresponding to measurements of methane concentration (CH4) in atmosphere during 4 weeks of observation. For us, it is important to consider the integral (cumulative) data and find their amplitude-frequency response (AFR). If one considers each column as a frequency-phase modulated signal, then the AFR can be evaluated with the help of an F-transformation with a period equaling 2π that is valid for any analyzed random signal. This “universal” F-transformation allows us to fit a wide set of random signals and compare them with each other in terms of their AFRs. In conclusion, these new possibilities of traditional F-analysis will serve as a common tool in the armory of the methods used by researchers in data processing area. |
| Ключевые слова |
Fourier transform, random signal, frequency-phase modulated signal, amplitude-frequency response, complex systems, meteorological data, eddy covariance |
| Название журнала |
AUTOMATIC DOCUMENTATION AND MATHEMATICAL LINGUISTICS
|
| Ссылка для РПД |
http://dspace.kpfu.ru/xmlui/bitstream/handle/net/185454/AutDoc2570076Nigmatullin.pdf?sequence=1&isAllowed=y
|
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=318502 |
| Файлы ресурса | |
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Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Литвинов Александр Алексеевич |
ru_RU |
| dc.contributor.author |
Осокин Сергей Игоревич |
ru_RU |
| dc.contributor.author |
Нигматуллин Равиль Рашидович |
ru_RU |
| dc.date.accessioned |
2025-01-01T00:00:00Z |
ru_RU |
| dc.date.available |
2025-01-01T00:00:00Z |
ru_RU |
| dc.date.issued |
2025 |
ru_RU |
| dc.identifier.citation |
Nigmatullin R.R. New Possibilities of the Fourier Transformation: How to Describe an Arbitrary Frequency-Phase Modulated Signal? / R.R. Nigmatullin, A.A. Litvinov, S.I. Osokin // Automatic Documentation and Mathematical Linguistics. — 2025. — Vol. 59. — Suppl. 2. — PP. S152–S159. |
ru_RU |
| dc.identifier.uri |
https://repository.kpfu.ru/?p_id=318502 |
ru_RU |
| dc.description.abstract |
AUTOMATIC DOCUMENTATION AND MATHEMATICAL LINGUISTICS |
ru_RU |
| dc.description.abstract |
In this paper, the authors identify a transformation that is valid for any arbitrary signal. This transformation is strictly periodical and therefore it allows the ordinary F-transformation to be applied for the fitting of the transformed signal. The most interesting application (in accordance with the authors' opinion) is the fitting of the frequency-phase modulated signals that actually located inside the found transformation. This new transformation will be useful for the application of the responses of different complex systems when
an ordinary model is absent. As available information we consider meteorological data corresponding to measurements of methane concentration (CH4) in atmosphere during 4 weeks of observation. For us, it is important to consider the integral (cumulative) data and find their amplitude-frequency response (AFR). If one considers each column as a frequency-phase modulated signal, then the AFR can be evaluated with the help of an F-transformation with a period equaling 2π that is valid for any analyzed random signal. This “universal” F-transformation allows us to fit a wide set of random signals and compare them with each other in terms of their AFRs. In conclusion, these new possibilities of traditional F-analysis will serve as a common tool in the armory of the methods used by researchers in data processing area. |
ru_RU |
| dc.language.iso |
ru |
ru_RU |
| dc.subject |
Fourier transform |
ru_RU |
| dc.subject |
random signal |
ru_RU |
| dc.subject |
frequency-phase modulated signal |
ru_RU |
| dc.subject |
amplitude-frequency response |
ru_RU |
| dc.subject |
complex systems |
ru_RU |
| dc.subject |
meteorological data |
ru_RU |
| dc.subject |
eddy covariance |
ru_RU |
| dc.title |
New Possibilities of the Fourier Transformation: How to Describe an Arbitrary Frequency-Phase Modulated Signal? |
ru_RU |
| dc.type |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|
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