Two-Step Root-MUSIC for Direction of Arrival Estimation without EVD/SVD Computation

Most popular techniques for super-resolution direction of arrival (DOA) estimation rely on an eigen-decomposition (EVD) or a singular value decomposition (SVD) computation to determine the signal/noise subspace, which is computationally expensive for real-time applications. A two-step root multiple...

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Main Authors: Feng-Gang Yan, Shuai Liu, Jun Wang, Ming Jin
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:International Journal of Antennas and Propagation
Online Access:http://dx.doi.org/10.1155/2018/9695326
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author Feng-Gang Yan
Shuai Liu
Jun Wang
Ming Jin
author_facet Feng-Gang Yan
Shuai Liu
Jun Wang
Ming Jin
author_sort Feng-Gang Yan
collection DOAJ
description Most popular techniques for super-resolution direction of arrival (DOA) estimation rely on an eigen-decomposition (EVD) or a singular value decomposition (SVD) computation to determine the signal/noise subspace, which is computationally expensive for real-time applications. A two-step root multiple signal classification (TS-root-MUSIC) algorithm is proposed to avoid the complex EVD/SVD computation using a uniform linear array (ULA) based on a mild assumption that the number of signals is less than half that of sensors. The ULA is divided into two subarrays, and three noise-free cross-correlation matrices are constructed using data collected by the two subarrays. A low-complexity linear operation is derived to obtain a rough noise subspace for a first-step DOA estimate. The performance is further enhanced in the second step by using the first-step result to renew the previous estimated noise subspace with a slightly increased complexity. The new technique can provide close root mean square error (RMSE) performance to root-MUSIC with reduced computational burden, which are verified by numerical simulations.
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spelling doaj-art-d1d5300c95b34609800e7655be1ced4f2025-02-03T01:33:20ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772018-01-01201810.1155/2018/96953269695326Two-Step Root-MUSIC for Direction of Arrival Estimation without EVD/SVD ComputationFeng-Gang Yan0Shuai Liu1Jun Wang2Ming Jin3Harbin Institute of Technology at Weihai, Weihai 264209, ChinaHarbin Institute of Technology at Weihai, Weihai 264209, ChinaHarbin Institute of Technology at Weihai, Weihai 264209, ChinaHarbin Institute of Technology at Weihai, Weihai 264209, ChinaMost popular techniques for super-resolution direction of arrival (DOA) estimation rely on an eigen-decomposition (EVD) or a singular value decomposition (SVD) computation to determine the signal/noise subspace, which is computationally expensive for real-time applications. A two-step root multiple signal classification (TS-root-MUSIC) algorithm is proposed to avoid the complex EVD/SVD computation using a uniform linear array (ULA) based on a mild assumption that the number of signals is less than half that of sensors. The ULA is divided into two subarrays, and three noise-free cross-correlation matrices are constructed using data collected by the two subarrays. A low-complexity linear operation is derived to obtain a rough noise subspace for a first-step DOA estimate. The performance is further enhanced in the second step by using the first-step result to renew the previous estimated noise subspace with a slightly increased complexity. The new technique can provide close root mean square error (RMSE) performance to root-MUSIC with reduced computational burden, which are verified by numerical simulations.http://dx.doi.org/10.1155/2018/9695326
spellingShingle Feng-Gang Yan
Shuai Liu
Jun Wang
Ming Jin
Two-Step Root-MUSIC for Direction of Arrival Estimation without EVD/SVD Computation
International Journal of Antennas and Propagation
title Two-Step Root-MUSIC for Direction of Arrival Estimation without EVD/SVD Computation
title_full Two-Step Root-MUSIC for Direction of Arrival Estimation without EVD/SVD Computation
title_fullStr Two-Step Root-MUSIC for Direction of Arrival Estimation without EVD/SVD Computation
title_full_unstemmed Two-Step Root-MUSIC for Direction of Arrival Estimation without EVD/SVD Computation
title_short Two-Step Root-MUSIC for Direction of Arrival Estimation without EVD/SVD Computation
title_sort two step root music for direction of arrival estimation without evd svd computation
url http://dx.doi.org/10.1155/2018/9695326
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