Garnik Abgaryan

Bio: Garnik Abgaryan is an academic researcher from Kazan Federal University. The author has contributed to research in topics: Dipole antenna & Diffraction. The author has an hindex of 2, co-authored 4 publications receiving 24 citations.

Modeling of the Koch-type wire dipole

Abstract: Regression and functional models of the main electrodynamic parameters for a family of balanced wire dipole antennas having arms similarly to the Koch first-order pre-fractal are developed. Each dipole differs from the remaining dipoles only in coordinates of the central vertices of arms. Conclusions on an influence of the wire’s diameter of the antenna on characteristics of the antenna are drawn. It is shown that a connection of electrodynamic parameters with the geometry of the antenna increases with an increase in the order of the pre-fractal. Algorithms for developing the antennas having preset characteristics are described. Examples describing an application of the algorithms to the modeling of the well matched Koch-type antennas to achieve some desired characteristics are provided.

Application Of Correlation And Regression Analysis To Designing Antennas

Abstract: We consider a family of Koch-type wire dipoles with arm geometry similar to the first-order Koch pre-fractal and microstrip antennas with a radiator having a symmetric four-comb-shape profile. The selection of wire antennas is constructed by changing the position of the central vertex of the Koch-type pre-fractal of the first order. The selection of microstrip antennas is constructed by changing the width, depth, and length of the cutouts of the radiator. For these antenna samples, the basic characteristics describing the geometry of the antennas are determined. The application of correlation and regression analysis to the modeling of these types of antennas is considered. Based on the correlation relationships, the main geometric parameters of wire and microstrip antennas are revealed, which most strongly affect such electrodynamic characteristics of antennas as the base frequency, reflection coefficient, bandwidth, reactance and resistance. Correlation tables of electrodynamic and geometric characteristics and correlative diagrams are presented, with the aid of which linear and nonlinear regression models are constructed. For the given models, the mean square and mean relative errors are calculated. We indicate that on the basis of regression models, it is possible to carry out the synthesis of a wire and microstrip antennas with the corresponding predetermined properties.

Designing a Koch-Type Wire Antenna by Regression Analysis

Abstract: A family of symmetrical wire dipoles having the geometry of the Koch-type prefractal is considered. A regression analysis for the electrodynamic characteristics and geometric parameters of the antennas is performed. Regression models of the base frequency for dipoles having different scales are obtained. A subfamily of antennas with a resonance at frequencies of 2.4-2.5 GHz is identified via regression models. Further analysis of the reflection coefficient and the bandwidth of the antennas from the given family made it possible to select the most matching antennas for operation in the selected Wi-Fi band.

Relationship between lacunarity and bandwidth of a koch-type wire antenna

Abstract: A dipole wire antenna of the Koch type is considered. The antenna represents a wire dipole symmetrical with respect to the point of feeding. Arms of the dipole have a 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 vertex. A family of antennas is singled out, in which the antennas differ from each other by coordinates of the central vertices. An algorithm for calculating lacunarity is described. A correlation analysis is provided with a correlation of bandwidth as well as relative bandwidth with lacunarity. Antennas having the geometry of the first three iterations of a Koch-type curve are chosen for the analysis. The calculated correlation coefficients are given in the tables. It is shown that increasing the iteration leads to a decrease in the correlation between the selected parameters. It is obtained that the correlation coefficients for the relative bandwidth are smaller than those for the bandwidth. Single-parameter regression models for the bandwidth and the relative bandwidth are constructed. The root-mean-square errors for the models are calculated. The proposed regression formulas can be used to design broadband wire antennas.

Miniaturization of a Koch-Type Fractal Antenna for Wi-Fi Applications

Abstract: Koch-type wire dipole antennas are considered herein. In the case of a first-order prefractal, such antennas differ from a Koch-type dipole by the position of the central vertex of the dipole arm. Earlier, we investigated the dependence of the base frequency for different antenna scales for an arm in the form of a first-order prefractal. In this paper, dipoles for second-order prefractals are considered. The dependence of the base frequency and the reflection coefficient on the dipole wire length and scale is analyzed. It is shown that it is possible to distinguish a family of antennas operating at a given (identical) base frequency. The same length of a Koch-type curve can be obtained with different coordinates of the central vertex. This allows for obtaining numerous antennas with various scales and geometries of the arm. An algorithm for obtaining small antennas for Wi-Fi applications is proposed. Two antennas were obtained: an antenna with the smallest linear dimensions and a minimum antenna for a given reflection coefficient.

Fast method for designing a well-matched symmetrical four-tooth-shaped microstrip antenna for Wi-Fi applications

Abstract: The problem of fast designing of a well-matched symmetrical four-tooth-shaped microstrip antenna at frequency of 2.44 GHz is considered. To solve the problem, we use regression models for wavelength, resistance and bandwidth. The optimization problem for finding the geometrical parameters of the antenna radiator is formulated by using these models. In the first step of approximation, the antenna is obtained as a solution to the optimization problem. In the next step, the geometry of the radiator is refined so as the base frequency of the antenna is closer to 2.44 GHz.

Bandwidth Enhancement of Symmetrical Fourth-Teeth-Shaped Microstrip Antenna

Abstract: The microstrip antenna with a symmetrical rectangular radiator and four teeth is described. The influence of the base geometric parameters of the antenna on the bandwidth at the base frequency was studied. The following geometric parameters of the antenna are selected: the length and the width of the radiator, the depth of cuts, the thickness of the substrate, the length of the ground plane and the width of the feed line. The regression analysis was carried out and the mathematical model describing the dependence of the bandwidth on the length and the width of the radiator and the depth of the cuts was developed. The rootmean-square error and the relative absolute error of the model were calculated. The graphs of the bandwidth dependences on the geometric parameters are presented. It was established that the decrease of the bandwidth values is associated with an increase of the radiator width and the substrate thickness. It was shown that a slight influence on the bandwidth are made by the changes of the radiator length and the depths of the cuts only in the case when the radiator width is much smaller than its length. The proposed formula describing the relationship of the bandwidth with the geometric parameters of the antenna can be used to design a four-tooth antenna with wide bandwidth.

Application Of Correlation And Regression Analysis To Designing Antennas

Abstract: We consider a family of Koch-type wire dipoles with arm geometry similar to the first-order Koch pre-fractal and microstrip antennas with a radiator having a symmetric four-comb-shape profile. The selection of wire antennas is constructed by changing the position of the central vertex of the Koch-type pre-fractal of the first order. The selection of microstrip antennas is constructed by changing the width, depth, and length of the cutouts of the radiator. For these antenna samples, the basic characteristics describing the geometry of the antennas are determined. The application of correlation and regression analysis to the modeling of these types of antennas is considered. Based on the correlation relationships, the main geometric parameters of wire and microstrip antennas are revealed, which most strongly affect such electrodynamic characteristics of antennas as the base frequency, reflection coefficient, bandwidth, reactance and resistance. Correlation tables of electrodynamic and geometric characteristics and correlative diagrams are presented, with the aid of which linear and nonlinear regression models are constructed. For the given models, the mean square and mean relative errors are calculated. We indicate that on the basis of regression models, it is possible to carry out the synthesis of a wire and microstrip antennas with the corresponding predetermined properties.

Designing the Four-Tooth-Shaped Microstrip Antenna for Wi-Fi Applications

Abstract: A monopole microstrip antenna with the radiator having two pairs of rectangular teeth of different sizes is considered. The influence of the size of the teeth and the position of the cutouts between them on the electrodynamic characteristics of the antenna at the first and second resonance frequencies is studied. Based on the results of the analysis, the approach is proposed to optimize the electrodynamic characteristics of this antenna type for given parameters. The practical application of this approach in the designing the four-tooth-shaped dual-band antenna for Wi-Fi applications is shown.