Accuracy Characteristics of the Parametric Burg Method for Spatial Signal Processing in a Nonuniform Array Antenna

Introduction. In the case of a nonuniform (NU) design of the antenna elements (AEs) of the receiving antenna array (AA), the antenna pattern (AP) features sidelobes (SL) with a significantly higher noise level than acceptable values. Under low signal-to-noise ratios (SNR), this noise leads to angula...

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Main Authors: V. M. Kutuzov, M. A. Ovchinnikov, E. A. Vinogradov
Format: Article
Language:Russian
Published: Saint Petersburg Electrotechnical University "LETI" 2021-06-01
Series:Известия высших учебных заведений России: Радиоэлектроника
Subjects:
Online Access:https://re.eltech.ru/jour/article/view/522
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author V. M. Kutuzov
M. A. Ovchinnikov
E. A. Vinogradov
author_facet V. M. Kutuzov
M. A. Ovchinnikov
E. A. Vinogradov
author_sort V. M. Kutuzov
collection DOAJ
description Introduction. In the case of a nonuniform (NU) design of the antenna elements (AEs) of the receiving antenna array (AA), the antenna pattern (AP) features sidelobes (SL) with a significantly higher noise level than acceptable values. Under low signal-to-noise ratios (SNR), this noise leads to angular coordinate measuring errors thus worsening the statistical accuracy characteristics (ACs) of the signal. It is of relevance to construct the ACs of angular coordinates when a modified parametric Burg method (BM) is applied to spatial reflected signal processing in a transportable decametre range radar (DRR) with a nonuniform array (NUA) and linear accuracy characteristics. Aim. To analyse the statistical ACs of angular coordinate objects when using a modified BM for spatial reflected signal processing in a DRR with a linear NUA, in which AEs are located with a random step in the range from λ/2 to several λ, where λ is the operating carrier wavelength.Materials and methods. Statistical ACs were constructed by computer modelling in the MatLab software, the reliability of which was confirmed by conventional discrete Fourier transform methods, as well as by comparing the obtained ACs with asymptotic bounds, including Cramer-Rao bounds.Results. The possibility and conditions of using a modified parametric BM for estimating the azimuthal coordinates of reflected radar signals were determined for the case of a nonuniform design of the over-the-horizon DRR receiving AA AEs. Statistical ACs were obtained and compared with the asymptotically optimal ACs of the maximum likelihood estimations corresponding to the uniform AE design.Conclusion. The obtained results confirm the suboptimality of the BM modified for signal processing in the NUA at a random AE spacing step in the range from λ/2 to 2λ, making it applicable for use in transportable DRRs.
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spelling doaj.art-f02567a76e634297a256b89cefb84b9a2023-03-13T09:20:24ZrusSaint Petersburg Electrotechnical University "LETI"Известия высших учебных заведений России: Радиоэлектроника1993-89852658-47942021-06-01243607110.32603/1993-8985-2021-24-3-60-71391Accuracy Characteristics of the Parametric Burg Method for Spatial Signal Processing in a Nonuniform Array AntennaV. M. Kutuzov0M. A. Ovchinnikov1E. A. Vinogradov2Санкт-Петербургский государственный электротехнический университет "ЛЭТИ" им. В. И. Ульянова (Ленина)Санкт-Петербургский государственный электротехнический университет "ЛЭТИ" им. В. И. Ульянова (Ленина)Левенский католический университетIntroduction. In the case of a nonuniform (NU) design of the antenna elements (AEs) of the receiving antenna array (AA), the antenna pattern (AP) features sidelobes (SL) with a significantly higher noise level than acceptable values. Under low signal-to-noise ratios (SNR), this noise leads to angular coordinate measuring errors thus worsening the statistical accuracy characteristics (ACs) of the signal. It is of relevance to construct the ACs of angular coordinates when a modified parametric Burg method (BM) is applied to spatial reflected signal processing in a transportable decametre range radar (DRR) with a nonuniform array (NUA) and linear accuracy characteristics. Aim. To analyse the statistical ACs of angular coordinate objects when using a modified BM for spatial reflected signal processing in a DRR with a linear NUA, in which AEs are located with a random step in the range from λ/2 to several λ, where λ is the operating carrier wavelength.Materials and methods. Statistical ACs were constructed by computer modelling in the MatLab software, the reliability of which was confirmed by conventional discrete Fourier transform methods, as well as by comparing the obtained ACs with asymptotic bounds, including Cramer-Rao bounds.Results. The possibility and conditions of using a modified parametric BM for estimating the azimuthal coordinates of reflected radar signals were determined for the case of a nonuniform design of the over-the-horizon DRR receiving AA AEs. Statistical ACs were obtained and compared with the asymptotically optimal ACs of the maximum likelihood estimations corresponding to the uniform AE design.Conclusion. The obtained results confirm the suboptimality of the BM modified for signal processing in the NUA at a random AE spacing step in the range from λ/2 to 2λ, making it applicable for use in transportable DRRs.https://re.eltech.ru/jour/article/view/522декаметровые рлснеэквидистантная антенная решеткапараметрические методыпространственная обработка сигналовдиаграмма направленностиспектр пространственных частотхарактеристики точности
spellingShingle V. M. Kutuzov
M. A. Ovchinnikov
E. A. Vinogradov
Accuracy Characteristics of the Parametric Burg Method for Spatial Signal Processing in a Nonuniform Array Antenna
Известия высших учебных заведений России: Радиоэлектроника
декаметровые рлс
неэквидистантная антенная решетка
параметрические методы
пространственная обработка сигналов
диаграмма направленности
спектр пространственных частот
характеристики точности
title Accuracy Characteristics of the Parametric Burg Method for Spatial Signal Processing in a Nonuniform Array Antenna
title_full Accuracy Characteristics of the Parametric Burg Method for Spatial Signal Processing in a Nonuniform Array Antenna
title_fullStr Accuracy Characteristics of the Parametric Burg Method for Spatial Signal Processing in a Nonuniform Array Antenna
title_full_unstemmed Accuracy Characteristics of the Parametric Burg Method for Spatial Signal Processing in a Nonuniform Array Antenna
title_short Accuracy Characteristics of the Parametric Burg Method for Spatial Signal Processing in a Nonuniform Array Antenna
title_sort accuracy characteristics of the parametric burg method for spatial signal processing in a nonuniform array antenna
topic декаметровые рлс
неэквидистантная антенная решетка
параметрические методы
пространственная обработка сигналов
диаграмма направленности
спектр пространственных частот
характеристики точности
url https://re.eltech.ru/jour/article/view/522
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AT maovchinnikov accuracycharacteristicsoftheparametricburgmethodforspatialsignalprocessinginanonuniformarrayantenna
AT eavinogradov accuracycharacteristicsoftheparametricburgmethodforspatialsignalprocessinginanonuniformarrayantenna