Казанский (Приволжский) федеральный университет, КФУ
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RELATION BETWEEN BASE FREQUENCY OF THE KOCH-TYPE WIRE DIPOLE, FRACTAL DIMENSIONALITY AND LACUNARITY
Форма представленияСтатьи в зарубежных журналах и сборниках
Год публикации2017
Языканглийский
  • Тумаков Дмитрий Николаевич, автор
  • Абгарян Гарник Владимирович, автор
  • Библиографическое описание на языке оригинала 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.
    Аннотация 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.
    Ключевые слова base frequency, Koch-type wire dipole, fractal dimensionality, lacunarity
    Название журнала Journal of Fundamental and Applied Sciences
    URL http://www.jfas.info/index.php/jfas/article/view/2892
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