DOA Tracking of Two-Dimensional Coherent Distribution Source Based on Fast Approximated Power Iteration

Aiming at two-dimensional (2D) coherent distributed (CD) sources, this paper has proposed a direction of arrival (DOA) tracking algorithm based on signal subspace updating under the uniform rectangular array (URA). First, based on the hypothesis of small angular spreads of distributed sources, the r...

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Main Authors: Tao Wu, Pengtao Zhang, Yiwen Li, Yangjun Gao, Chaoqi Fu, Bo Feng
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2020/3219516
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spelling doaj-eb3b72ab7a7c4e5cbfbb10d753bc09c82020-11-30T09:11:29ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472020-01-01202010.1155/2020/32195163219516DOA Tracking of Two-Dimensional Coherent Distribution Source Based on Fast Approximated Power IterationTao Wu0Pengtao Zhang1Yiwen Li2Yangjun Gao3Chaoqi Fu4Bo Feng5Equipment Management and UAV College, Air Force Engineering University, Xi’an 710051, Shaanxi, ChinaEquipment Management and UAV College, Air Force Engineering University, Xi’an 710051, Shaanxi, ChinaScience and Technology on Combustion, Thermal-Structure and Internal Flow Laboratory, Northwestern Polytechnical University, Xi’an 710051, Shaanxi, ChinaEquipment Management and UAV College, Air Force Engineering University, Xi’an 710051, Shaanxi, ChinaEquipment Management and UAV College, Air Force Engineering University, Xi’an 710051, Shaanxi, ChinaEquipment Management and UAV College, Air Force Engineering University, Xi’an 710051, Shaanxi, ChinaAiming at two-dimensional (2D) coherent distributed (CD) sources, this paper has proposed a direction of arrival (DOA) tracking algorithm based on signal subspace updating under the uniform rectangular array (URA). First, based on the hypothesis of small angular spreads of distributed sources, the rotating invariant relations of the signal subspace of the receive vector of URA are derived. An ESPRIT-like method is constructed for DOA estimation using two adjacent parallel linear arrays of URA. Through the synthesis of estimation by multiple groups of parallel linear arrays within URA arrays, the DOA estimation method for 2D CD sources based on URA is obtained. Then, fast approximated power iteration (FAPI) subspace tracking algorithm is used to update the signal subspace. In this way, DOA tracking of 2D CD sources can be realized by DOA estimation through signal subspace updating. This algorithm has a low computational complexity and good real-time tracking performance. In addition, the algorithm can track multiple CD sources without knowing the angular signal distribution functions, which is robust to model errors.http://dx.doi.org/10.1155/2020/3219516
collection DOAJ
language English
format Article
sources DOAJ
author Tao Wu
Pengtao Zhang
Yiwen Li
Yangjun Gao
Chaoqi Fu
Bo Feng
spellingShingle Tao Wu
Pengtao Zhang
Yiwen Li
Yangjun Gao
Chaoqi Fu
Bo Feng
DOA Tracking of Two-Dimensional Coherent Distribution Source Based on Fast Approximated Power Iteration
Mathematical Problems in Engineering
author_facet Tao Wu
Pengtao Zhang
Yiwen Li
Yangjun Gao
Chaoqi Fu
Bo Feng
author_sort Tao Wu
title DOA Tracking of Two-Dimensional Coherent Distribution Source Based on Fast Approximated Power Iteration
title_short DOA Tracking of Two-Dimensional Coherent Distribution Source Based on Fast Approximated Power Iteration
title_full DOA Tracking of Two-Dimensional Coherent Distribution Source Based on Fast Approximated Power Iteration
title_fullStr DOA Tracking of Two-Dimensional Coherent Distribution Source Based on Fast Approximated Power Iteration
title_full_unstemmed DOA Tracking of Two-Dimensional Coherent Distribution Source Based on Fast Approximated Power Iteration
title_sort doa tracking of two-dimensional coherent distribution source based on fast approximated power iteration
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2020-01-01
description Aiming at two-dimensional (2D) coherent distributed (CD) sources, this paper has proposed a direction of arrival (DOA) tracking algorithm based on signal subspace updating under the uniform rectangular array (URA). First, based on the hypothesis of small angular spreads of distributed sources, the rotating invariant relations of the signal subspace of the receive vector of URA are derived. An ESPRIT-like method is constructed for DOA estimation using two adjacent parallel linear arrays of URA. Through the synthesis of estimation by multiple groups of parallel linear arrays within URA arrays, the DOA estimation method for 2D CD sources based on URA is obtained. Then, fast approximated power iteration (FAPI) subspace tracking algorithm is used to update the signal subspace. In this way, DOA tracking of 2D CD sources can be realized by DOA estimation through signal subspace updating. This algorithm has a low computational complexity and good real-time tracking performance. In addition, the algorithm can track multiple CD sources without knowing the angular signal distribution functions, which is robust to model errors.
url http://dx.doi.org/10.1155/2020/3219516
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