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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.

- Publication
- IEICE TRANSACTIONS on Communications Vol.E102-B No.4 pp.891-900

- Publication Date
- 2019/04/01

- Publicized
- 2018/10/22

- Online ISSN
- 1745-1345

- DOI
- 10.1587/transcom.2018EBP3039

- Type of Manuscript
- PAPER

- Category
- Antennas and Propagation

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

The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.

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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},}

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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 -