Algorithm for the synthesis of linear antenna arrays with desired radiation pattern and integral amplitude coefficients

The problem of technical implementation of phased array antennas (PAR) with the required radiation pattern (RP) is the complexity of the construction of the beam forming device that consists of a set of controlled attenuators and phase shifters. It is possible to simplify the technical implementatio...

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Main Authors: A. V. Sadchenko, O. A. Kushnirenko, A. V. Troyansky
Format: Article
Language:English
Published: Politehperiodika 2015-06-01
Series:Tekhnologiya i Konstruirovanie v Elektronnoi Apparature
Subjects:
Online Access:https://tkea.com.ua/index.php/journal/article/view/279
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author A. V. Sadchenko
O. A. Kushnirenko
A. V. Troyansky
author_facet A. V. Sadchenko
O. A. Kushnirenko
A. V. Troyansky
author_sort A. V. Sadchenko
collection DOAJ
description The problem of technical implementation of phased array antennas (PAR) with the required radiation pattern (RP) is the complexity of the construction of the beam forming device that consists of a set of controlled attenuators and phase shifters. It is possible to simplify the technical implementation of PAR, if complex representation of coefficients of amplitude-phase distribution of the field along the lattice is approximated by real values in the synthesis stage. It is known that the amplitude distribution of the field in the aperture of the antenna array and the radiation pattern are associated with Fourier transform. Thus, the amplitude and phase coefficients are first calculated using the Fourier transform, and then processed according to the selected type of circuit realization of attenuators and phase shifters. The calculation of the inverse Fourier transform of the modified coefficients allows calculating the synthesized orientation function. This study aims to develop a search algorithm for amplitude and phase coefficients, taking into account the fact that integer-valued amplitudes and phases are technically easier to implement than real ones. Synthesis algorithm for equidistant linear array with a half-wavelength irradiators pitch (λ/2) is as follows. From a given directivity function the discrete Fourier transform (DFT) in the form of an array of complex numbers is found, the resulting array is then transformed into a set of attenuations for attenuators and phase shifts for phase shifters, while the amplitude coefficients are rounded off to integers, and phases are binarizated (0, π). The practical value of this algorithm is particularly high when using controlled phase shifters and attenuators integrally. The work confirms the possibility of a thermoelectric converter of human body application for an electronic medical thermometer power supply.
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spelling doaj-art-293afe16cb614447bdb6ac4f618f52552025-08-20T01:49:11ZengPolitehperiodikaTekhnologiya i Konstruirovanie v Elektronnoi Apparature2225-58182309-99922015-06-012–3151810.15222/TKEA2015.2-3.15279Algorithm for the synthesis of linear antenna arrays with desired radiation pattern and integral amplitude coefficientsA. V. Sadchenko0O. A. Kushnirenko1A. V. Troyansky2Odesа Polytechnic National University, Odesа, UkraineOdesа Polytechnic National University, Odesа, UkraineOdesа Polytechnic National University, Odesа, UkraineThe problem of technical implementation of phased array antennas (PAR) with the required radiation pattern (RP) is the complexity of the construction of the beam forming device that consists of a set of controlled attenuators and phase shifters. It is possible to simplify the technical implementation of PAR, if complex representation of coefficients of amplitude-phase distribution of the field along the lattice is approximated by real values in the synthesis stage. It is known that the amplitude distribution of the field in the aperture of the antenna array and the radiation pattern are associated with Fourier transform. Thus, the amplitude and phase coefficients are first calculated using the Fourier transform, and then processed according to the selected type of circuit realization of attenuators and phase shifters. The calculation of the inverse Fourier transform of the modified coefficients allows calculating the synthesized orientation function. This study aims to develop a search algorithm for amplitude and phase coefficients, taking into account the fact that integer-valued amplitudes and phases are technically easier to implement than real ones. Synthesis algorithm for equidistant linear array with a half-wavelength irradiators pitch (λ/2) is as follows. From a given directivity function the discrete Fourier transform (DFT) in the form of an array of complex numbers is found, the resulting array is then transformed into a set of attenuations for attenuators and phase shifts for phase shifters, while the amplitude coefficients are rounded off to integers, and phases are binarizated (0, π). The practical value of this algorithm is particularly high when using controlled phase shifters and attenuators integrally. The work confirms the possibility of a thermoelectric converter of human body application for an electronic medical thermometer power supply.https://tkea.com.ua/index.php/journal/article/view/279radiation patternthe discrete fourier transformphased array antennacontrolled attenuatorsphase shifters
spellingShingle A. V. Sadchenko
O. A. Kushnirenko
A. V. Troyansky
Algorithm for the synthesis of linear antenna arrays with desired radiation pattern and integral amplitude coefficients
Tekhnologiya i Konstruirovanie v Elektronnoi Apparature
radiation pattern
the discrete fourier transform
phased array antenna
controlled attenuators
phase shifters
title Algorithm for the synthesis of linear antenna arrays with desired radiation pattern and integral amplitude coefficients
title_full Algorithm for the synthesis of linear antenna arrays with desired radiation pattern and integral amplitude coefficients
title_fullStr Algorithm for the synthesis of linear antenna arrays with desired radiation pattern and integral amplitude coefficients
title_full_unstemmed Algorithm for the synthesis of linear antenna arrays with desired radiation pattern and integral amplitude coefficients
title_short Algorithm for the synthesis of linear antenna arrays with desired radiation pattern and integral amplitude coefficients
title_sort algorithm for the synthesis of linear antenna arrays with desired radiation pattern and integral amplitude coefficients
topic radiation pattern
the discrete fourier transform
phased array antenna
controlled attenuators
phase shifters
url https://tkea.com.ua/index.php/journal/article/view/279
work_keys_str_mv AT avsadchenko algorithmforthesynthesisoflinearantennaarrayswithdesiredradiationpatternandintegralamplitudecoefficients
AT oakushnirenko algorithmforthesynthesisoflinearantennaarrayswithdesiredradiationpatternandintegralamplitudecoefficients
AT avtroyansky algorithmforthesynthesisoflinearantennaarrayswithdesiredradiationpatternandintegralamplitudecoefficients