Open AccessProperties and Applications of a Tan–G Family of ”Adaptive Functions”
Author(s) -
Nikolay Kyurkchiev,
Антон Илиев,
Asen Rahnev
Publication year - 2021
Publication title -
international journal of circuits, systems and signal processing
Language(s) - English
Resource type - Journals
ISSN - 1998-4464
DOI - 10.46300/9106.2021.15.139
Subject(s) - class (philosophy) , mathematics , trigonometric functions , trigonometry , polynomial , hausdorff space , discrete mathematics , calculus (dental) , algorithm , pure mathematics , mathematical analysis , computer science , geometry , artificial intelligence , medicine , dentistry
In this note we study some properties of an new TAN–G class of trigonometric cumulative distribution functions proposed by Souza, O. Junior, de Brito, Chesneau, Fernandes and Ferreira [1]. We consider also modified families of ”adaptive functions” with ”polynomial variable transfer” with applications to the Antenna–feeder Analysis. We study the ”saturation” - d in the Hausdorff sense for some special cases of this family. The article discusses only model aspects of the possible application that this new family finds in the above area. The models are very sensitive to the coefficients of the polynomial (respectively the number and location of its zeros). This makes these models attractive for simulations. Numerical examples, illustrating our results using CAS MATHEMATICA are given.