The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Un nouvel algorithme est proposé pour estimer la direction d'arrivée (DOA) des signaux modulés en fréquence linéaire (LFM) pour le réseau circulaire uniforme (UCA). Tout d’abord, l’UCA est transformé en un réseau linéaire uniforme virtuel (ULA) équivalent à l’aide de l’algorithme mode-espace. Ensuite, la transformée de Fourier à court terme (STFT) de la sortie de chaque élément est élaborée. Nous pouvons obtenir la matrice de distribution spatiale temps-fréquence de l'ULA virtuel en sélectionnant les points temps-fréquence (tf) à source unique dans le plan tf, puis obtenir le sous-espace de signal du réseau. La nature des caractéristiques de la fonction de Bessel nous permet d'obtenir l'invariance multiple (MI) de l'ULA virtuelle. Ainsi, l'équation invariante en rotation multiple du tableau peut être obtenue et sa solution de forme fermée peut être élaborée en utilisant le critère des moindres carrés multiples (MLS). Enfin, l’estimation DOA bidimensionnelle (2D) des signaux LFM pour UCA peut être obtenue. Les résultats de simulation numérique illustrent que l'algorithme UCA-STFT-MI-ESPRIT proposé dans cet article peut améliorer considérablement la précision de l'estimation par rapport aux algorithmes traditionnels de type ESPRIT et présente une complexité de calcul bien inférieure à celle des algorithmes de type MUSIC.
Kaibo CUI
National University of Defense Technology
Qingping WANG
National University of Defense Technology
Quan WANG
National University of Defense Technology
Jingjian HUANG
National University of Defense Technology
Naichang YUAN
National University of Defense Technology
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Kaibo CUI, Qingping WANG, Quan WANG, Jingjian HUANG, Naichang YUAN, "Closed-Form Multiple Invariance ESPRIT for UCA Based on STFT" in IEICE TRANSACTIONS on Communications,
vol. E102-B, no. 4, pp. 891-900, April 2019, doi: 10.1587/transcom.2018EBP3039.
Abstract: A novel algorithm is proposed for estimating the direction of arrival (DOA) of linear frequency modulated (LFM) signals for the uniform circular array (UCA). Firstly, the UCA is transformed into an equivalent virtual uniform linear array (ULA) using the mode-space algorithm. Then, the short time Fourier transform (STFT) of each element's output is worked out. We can obtain the spatial time-frequency distribution matrix of the virtual ULA by selecting the single-source time-frequency (t-f) points in the t-f plane and then get the signal subspace of the array. The characteristics nature of the Bessel function allow us to obtain the multiple invariance (MI) of the virtual ULA. So the multiple rotational invariant equation of the array can be obtained and its closed-form solution can be worked out using the multi-least-squares (MLS) criterion. Finally, the two dimensional (2-D) DOA estimation of LFM signals for UCA can be obtained. Numerical simulation results illustrate that the UCA-STFT-MI-ESPRIT algorithm proposed in this paper can improve the estimation precision greatly compared with the traditional ESPRIT-like algorithms and has much lower computational complexity than the MUSIC-like algorithms.
URL: https://global.ieice.org/en_transactions/communications/10.1587/transcom.2018EBP3039/_p
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@ARTICLE{e102-b_4_891,
author={Kaibo CUI, Qingping WANG, Quan WANG, Jingjian HUANG, Naichang YUAN, },
journal={IEICE TRANSACTIONS on Communications},
title={Closed-Form Multiple Invariance ESPRIT for UCA Based on STFT},
year={2019},
volume={E102-B},
number={4},
pages={891-900},
abstract={A novel algorithm is proposed for estimating the direction of arrival (DOA) of linear frequency modulated (LFM) signals for the uniform circular array (UCA). Firstly, the UCA is transformed into an equivalent virtual uniform linear array (ULA) using the mode-space algorithm. Then, the short time Fourier transform (STFT) of each element's output is worked out. We can obtain the spatial time-frequency distribution matrix of the virtual ULA by selecting the single-source time-frequency (t-f) points in the t-f plane and then get the signal subspace of the array. The characteristics nature of the Bessel function allow us to obtain the multiple invariance (MI) of the virtual ULA. So the multiple rotational invariant equation of the array can be obtained and its closed-form solution can be worked out using the multi-least-squares (MLS) criterion. Finally, the two dimensional (2-D) DOA estimation of LFM signals for UCA can be obtained. Numerical simulation results illustrate that the UCA-STFT-MI-ESPRIT algorithm proposed in this paper can improve the estimation precision greatly compared with the traditional ESPRIT-like algorithms and has much lower computational complexity than the MUSIC-like algorithms.},
keywords={},
doi={10.1587/transcom.2018EBP3039},
ISSN={1745-1345},
month={April},}
Copier
TY - JOUR
TI - Closed-Form Multiple Invariance ESPRIT for UCA Based on STFT
T2 - IEICE TRANSACTIONS on Communications
SP - 891
EP - 900
AU - Kaibo CUI
AU - Qingping WANG
AU - Quan WANG
AU - Jingjian HUANG
AU - Naichang YUAN
PY - 2019
DO - 10.1587/transcom.2018EBP3039
JO - IEICE TRANSACTIONS on Communications
SN - 1745-1345
VL - E102-B
IS - 4
JA - IEICE TRANSACTIONS on Communications
Y1 - April 2019
AB - A novel algorithm is proposed for estimating the direction of arrival (DOA) of linear frequency modulated (LFM) signals for the uniform circular array (UCA). Firstly, the UCA is transformed into an equivalent virtual uniform linear array (ULA) using the mode-space algorithm. Then, the short time Fourier transform (STFT) of each element's output is worked out. We can obtain the spatial time-frequency distribution matrix of the virtual ULA by selecting the single-source time-frequency (t-f) points in the t-f plane and then get the signal subspace of the array. The characteristics nature of the Bessel function allow us to obtain the multiple invariance (MI) of the virtual ULA. So the multiple rotational invariant equation of the array can be obtained and its closed-form solution can be worked out using the multi-least-squares (MLS) criterion. Finally, the two dimensional (2-D) DOA estimation of LFM signals for UCA can be obtained. Numerical simulation results illustrate that the UCA-STFT-MI-ESPRIT algorithm proposed in this paper can improve the estimation precision greatly compared with the traditional ESPRIT-like algorithms and has much lower computational complexity than the MUSIC-like algorithms.
ER -