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Matrix Completion ESPRIT for DOA Estimation Using Nonuniform Linear Array
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Summary :
A novel matrix completion ESPRIT (MC-ESPRIT) algorithm is proposed to estimate the direction of arrival (DOA) with nonuniform linear arrays (NLA). By exploiting the matrix completion theory and the characters of Hankel matrix, the received data matrix of an NLA is tranformed into a two-fold Hankel matrix, which is a treatable for matrix completion. Then the decision variable can be reconstructed by the inexact augmented Lagrange multiplier method. This approach yields a completed data matrix, which is the same as the data matrix of uniform linear array (ULA). Thus the ESPRIT-type algorithm can be used to estimate the DOA. The MC-ESPRIT could resolve more signals than the MUSIC-type algorithms with NLA. Furthermore, the proposed algorithm does not need to divide the field of view of the array compared to the existing virtual interpolated array ESPRIT (VIA-ESPRIT). Simulation results confirm the effectiveness of MC-ESPRIT.
- Publication
- IEICE TRANSACTIONS on Communications Vol.E102-B No.12 pp.2253-2259
- Publication Date
- 2019/12/01
- Publicized
- 2019/06/17
- Online ISSN
- 1745-1345
- DOI
- 10.1587/transcom.2018EBP3289
- Type of Manuscript
- PAPER
- Category
- Antennas and Propagation
Authors
Hongbing LI
Northwestern Ploytechnical University
Qunfei ZHANG
Northwestern Ploytechnical University
Weike FENG
Xidian University
Keyword
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Hongbing LI, Qunfei ZHANG, Weike FENG, "Matrix Completion ESPRIT for DOA Estimation Using Nonuniform Linear Array" in IEICE TRANSACTIONS on Communications,
vol. E102-B, no. 12, pp. 2253-2259, December 2019, doi: 10.1587/transcom.2018EBP3289.
Abstract: A novel matrix completion ESPRIT (MC-ESPRIT) algorithm is proposed to estimate the direction of arrival (DOA) with nonuniform linear arrays (NLA). By exploiting the matrix completion theory and the characters of Hankel matrix, the received data matrix of an NLA is tranformed into a two-fold Hankel matrix, which is a treatable for matrix completion. Then the decision variable can be reconstructed by the inexact augmented Lagrange multiplier method. This approach yields a completed data matrix, which is the same as the data matrix of uniform linear array (ULA). Thus the ESPRIT-type algorithm can be used to estimate the DOA. The MC-ESPRIT could resolve more signals than the MUSIC-type algorithms with NLA. Furthermore, the proposed algorithm does not need to divide the field of view of the array compared to the existing virtual interpolated array ESPRIT (VIA-ESPRIT). Simulation results confirm the effectiveness of MC-ESPRIT.
URL: https://global.ieice.org/en_transactions/communications/10.1587/transcom.2018EBP3289/_p
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@ARTICLE{e102-b_12_2253,
author={Hongbing LI, Qunfei ZHANG, Weike FENG, },
journal={IEICE TRANSACTIONS on Communications},
title={Matrix Completion ESPRIT for DOA Estimation Using Nonuniform Linear Array},
year={2019},
volume={E102-B},
number={12},
pages={2253-2259},
abstract={A novel matrix completion ESPRIT (MC-ESPRIT) algorithm is proposed to estimate the direction of arrival (DOA) with nonuniform linear arrays (NLA). By exploiting the matrix completion theory and the characters of Hankel matrix, the received data matrix of an NLA is tranformed into a two-fold Hankel matrix, which is a treatable for matrix completion. Then the decision variable can be reconstructed by the inexact augmented Lagrange multiplier method. This approach yields a completed data matrix, which is the same as the data matrix of uniform linear array (ULA). Thus the ESPRIT-type algorithm can be used to estimate the DOA. The MC-ESPRIT could resolve more signals than the MUSIC-type algorithms with NLA. Furthermore, the proposed algorithm does not need to divide the field of view of the array compared to the existing virtual interpolated array ESPRIT (VIA-ESPRIT). Simulation results confirm the effectiveness of MC-ESPRIT.},
keywords={},
doi={10.1587/transcom.2018EBP3289},
ISSN={1745-1345},
month={December},}
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TY - JOUR
TI - Matrix Completion ESPRIT for DOA Estimation Using Nonuniform Linear Array
T2 - IEICE TRANSACTIONS on Communications
SP - 2253
EP - 2259
AU - Hongbing LI
AU - Qunfei ZHANG
AU - Weike FENG
PY - 2019
DO - 10.1587/transcom.2018EBP3289
JO - IEICE TRANSACTIONS on Communications
SN - 1745-1345
VL - E102-B
IS - 12
JA - IEICE TRANSACTIONS on Communications
Y1 - December 2019
AB - A novel matrix completion ESPRIT (MC-ESPRIT) algorithm is proposed to estimate the direction of arrival (DOA) with nonuniform linear arrays (NLA). By exploiting the matrix completion theory and the characters of Hankel matrix, the received data matrix of an NLA is tranformed into a two-fold Hankel matrix, which is a treatable for matrix completion. Then the decision variable can be reconstructed by the inexact augmented Lagrange multiplier method. This approach yields a completed data matrix, which is the same as the data matrix of uniform linear array (ULA). Thus the ESPRIT-type algorithm can be used to estimate the DOA. The MC-ESPRIT could resolve more signals than the MUSIC-type algorithms with NLA. Furthermore, the proposed algorithm does not need to divide the field of view of the array compared to the existing virtual interpolated array ESPRIT (VIA-ESPRIT). Simulation results confirm the effectiveness of MC-ESPRIT.
ER -
English
