KFU. Card publication. Relation between base frequency of the Koch-type wire dipole, fractal dimensionality and lacunarity

KAZAN
FEDERAL UNIVERSITY

- RUS
- 中文
- ES

RELATION BETWEEN BASE FREQUENCY OF THE KOCH-TYPE WIRE DIPOLE, FRACTAL DIMENSIONALITY AND LACUNARITY

Form of presentation

Articles in international journals and collections

Year of publication

2017

��

��

Authors, employees of KFU

Tumakov Dmitriy Nikolaevich, author

Authors, students KFU

Abgaryan Garnik Vladimirovich, author

Bibliographic description in the original language

Abgaryan G.V., Tumakov D.N. Relation between base frequency of the Koch-type wire dipole, fractal dimensionality and lacunarity // Journal of Fundamental and Applied Sciences, 2017, 9(1S), 1885-1898.

Annotation

A dipole wire antenna of the Koch type was considered. Such an antenna is a wire dipole with arms symmetric with respect to the feed point with the geometry similar to Koch's pre-fractal. The curves forming the arms differ from the classical Koch fractal only by the position of the central peak. A family of these antennas was specified, differing from each other by the coordinates of the central vertices. The fractal Minkowski dimension and lacunarity were chosen as the parameters describing the geometry of the considered dipoles. The algorithms for the calculation of Minkowski dimension and lacunarity were described. The correlation-regression analysis of the basic frequency, a conductor length, the fractal dimension and lacunarity for the antennas with the geometry of the second and third iterations of the Koch-type curve was carried out. The calculated correlation coefficients are given in the tables.

Keywords

base frequency, Koch-type wire dipole, fractal dimensionality, lacunarity

The name of the journal

Journal of Fundamental and Applied Sciences

URL

http://www.jfas.info/index.php/jfas/article/view/2892

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=164687&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Tumakov Dmitriy Nikolaevich	ru_RU
dc.contributor.author	Abgaryan Garnik Vladimirovich	ru_RU
dc.date.accessioned	2017-01-01T00:00:00Z	ru_RU
dc.date.available	2017-01-01T00:00:00Z	ru_RU
dc.date.issued	2017	ru_RU
dc.identifier.citation	Abgaryan G.V., Tumakov D.N. Relation between base frequency of the Koch-type wire dipole, fractal dimensionality and lacunarity // Journal of Fundamental and Applied Sciences, 2017, 9(1S), 1885-1898.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=164687&p_lang=2	ru_RU
dc.description.abstract	Journal of Fundamental and Applied Sciences	ru_RU
dc.description.abstract	A dipole wire antenna of the Koch type was considered. Such an antenna is a wire dipole with arms symmetric with respect to the feed point with the geometry similar to Koch's pre-fractal. The curves forming the arms differ from the classical Koch fractal only by the position of the central peak. A family of these antennas was specified, differing from each other by the coordinates of the central vertices. The fractal Minkowski dimension and lacunarity were chosen as the parameters describing the geometry of the considered dipoles. The algorithms for the calculation of Minkowski dimension and lacunarity were described. The correlation-regression analysis of the basic frequency, a conductor length, the fractal dimension and lacunarity for the antennas with the geometry of the second and third iterations of the Koch-type curve was carried out. The calculated correlation coefficients are given in the tables.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	base frequency	ru_RU
dc.subject	Koch-type wire dipole	ru_RU
dc.subject	fractal dimensionality	ru_RU
dc.subject	lacunarity	ru_RU
dc.title	Relation between base frequency of the Koch-type wire dipole, fractal dimensionality and lacunarity	ru_RU
dc.type	Articles in international journals and collections	ru_RU