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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Wiley
2018-01-01
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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. |
format | Article |
id | doaj-art-d1d5300c95b34609800e7655be1ced4f |
institution | Kabale University |
issn | 1687-5869 1687-5877 |
language | English |
publishDate | 2018-01-01 |
publisher | Wiley |
record_format | Article |
series | International Journal of Antennas and Propagation |
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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