Author

# Angelina Markina

Bio: Angelina Markina is an academic researcher from Kazan Federal University. The author has contributed to research in topics: Microstrip antenna & Microstrip. The author has an hindex of 4, co-authored 14 publications receiving 45 citations.

##### Papers
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Book ChapterDOI
21 Sep 2020
TL;DR: In this article, the authors investigated the performance of parallel and serial implementations of the algorithm intended for calculating the number of boxes for evaluating the fractal dimension of analytical curves and concluded that the efficiency of using the GPU begins with three million boxes and grows with an increase in the size of curve points.
Abstract: Serial and parallel implementations of the algorithm intended for calculating the number of boxes for evaluating the fractal dimension of analytical curves are considered. The algorithm contains four stages: (1) preparing the data for calculations; (2) determining the boxes into which the curve fell; (3) counting the boxes that have an intersection with a curve; (4) counting the boxes of a larger size that intersect with a curve. The acceleration of computations performed by a parallel code (on OpenMP and CUDA) with respect to calculations performed by a serial code depending on the size of the box is investigated. Numerical experiments are carried out, the results of which exhibit a significant increase in performance for GPU calculations in the case of a large number of segments of the curve. A 100-fold increase in the computational speed is obtained for a curve containing a million segments with a billion boxes (box size is $$2^{ - 15}$$). The graphs depicting an increase in acceleration of parallel code performance with decreasing the box size and increasing the number of curve segments are shown. It is concluded that the efficiency of using the GPU begins with three million boxes and grows with an increase in the number of curve points.

##### Cited by
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Journal ArticleDOI

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08 Dec 2001-BMJ
TL;DR: There is, I think, something ethereal about i —the square root of minus one, which seems an odd beast at that time—an intruder hovering on the edge of reality.
Abstract: There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality. Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …

33,785 citations

Journal ArticleDOI

TL;DR: In this article, a corrugated microstrip (CM) line is employed as the resonating part of the antenna to achieve good radiating behavior and low profile simultaneously, and the measured results show that the proposed antenna can achieve a beamwidth of 70° in E-plane and 75° in H-plane with a gain tolerance of 3 dB.
Abstract: We present a new method to design miniaturized antennas using a corrugated microstrip (CM) line, which shows good slow wave characteristic in the required frequency band. To achieve good radiating behavior and low profile simultaneously, CM is employed as the resonating part of the antenna. The impact of the CM propagation constant on the antenna is discussed in detail. The miniaturized antenna is designed and measured to verify the feasibility of the design method. The measured results show that the proposed antenna can achieve a beamwidth of 70° in E-plane and 75° in H-plane with a gain tolerance of 3 dB, and the realized peak gain level at the central frequency is 5.15 dBi, which have good agreements to the expected designs. Such results indicate that the proposed antenna exhibits excellent radiation characteristics at the resonant mode. The effective size of the proposed miniaturized antenna is $0.16\lambda _{0}\times 0.16 \lambda _{0}\times 0.04 \lambda _{0}$ at 9 GHz, in which $\lambda _{0}$ is the wavelength of the central frequency.

35 citations

Journal ArticleDOI
04 Jun 2020
TL;DR: In this article, the dependence of the base frequency and the reflection coefficient on the dipole wire length and scale is analyzed, and it is shown that it is possible to distinguish a family of antennas operating at a given (identical) base frequency.
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.

14 citations

Journal ArticleDOI
01 Feb 2019
TL;DR: The problem of fast designing of a well-matched symmetrical four-tooth-shaped microstrip antenna at frequency of 2.44 GHz is considered and regression models for wavelength, resistance and bandwidth are used to solve the problem.
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.

9 citations

Journal ArticleDOI
01 Jan 2018
TL;DR: In this article, the influence of the base geometric parameters of the antenna on the bandwidth at the base frequency was studied and 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.
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.

9 citations