DOA Estimation and Self-Calibration under Unknown Mutual Coupling

In practical applications, the assumption of omnidirectional elements is not effective in general, which leads to the direction-dependent mutual coupling (MC). Under this condition, the performance of traditional calibration algorithms suffers. This paper proposes a new self-calibration method based...

Full description

Bibliographic Details
Main Authors: Dong Qi, Min Tang, Shiwen Chen, Zhixin Liu, Yongjun Zhao
Format: Article
Language:English
Published: MDPI AG 2019-02-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/19/4/978
_version_ 1818001380164501504
author Dong Qi
Min Tang
Shiwen Chen
Zhixin Liu
Yongjun Zhao
author_facet Dong Qi
Min Tang
Shiwen Chen
Zhixin Liu
Yongjun Zhao
author_sort Dong Qi
collection DOAJ
description In practical applications, the assumption of omnidirectional elements is not effective in general, which leads to the direction-dependent mutual coupling (MC). Under this condition, the performance of traditional calibration algorithms suffers. This paper proposes a new self-calibration method based on the time-frequency distributions (TFDs) in the presence of direction-dependent MC. Firstly, the time-frequency (TF) transformation is used to calculate the space-time-frequency distributions (STFDs) matrix of received signals. After that, the estimated steering vector and corresponding noise subspace are estimated by the steps of noise removing, single-source TF points extracting and clustering. Then according to the transformation relationship between the MC coefficients, steering vector and MC matrix, we deduce a set of linear equations. Finally, with two-step alternating iteration, the equations are solved by least square method in order to estimate DOA and MC coefficients. Simulations results show that the proposed algorithm can achieve direction-dependent MC self-calibration and outperforms the existing algorithms.
first_indexed 2024-04-14T03:33:44Z
format Article
id doaj.art-51bb21f9fa6c495da68d4940b68070f1
institution Directory Open Access Journal
issn 1424-8220
language English
last_indexed 2024-04-14T03:33:44Z
publishDate 2019-02-01
publisher MDPI AG
record_format Article
series Sensors
spelling doaj.art-51bb21f9fa6c495da68d4940b68070f12022-12-22T02:14:52ZengMDPI AGSensors1424-82202019-02-0119497810.3390/s19040978s19040978DOA Estimation and Self-Calibration under Unknown Mutual CouplingDong QiMin Tang0Shiwen Chen1Zhixin Liu2Yongjun Zhao3National Digital Switching System Engineering and Technological Research Center (NDSC), Zhengzhou 86-450001, ChinaNational Digital Switching System Engineering and Technological Research Center (NDSC), Zhengzhou 86-450001, ChinaNational Digital Switching System Engineering and Technological Research Center (NDSC), Zhengzhou 86-450001, ChinaNational Digital Switching System Engineering and Technological Research Center (NDSC), Zhengzhou 86-450001, ChinaIn practical applications, the assumption of omnidirectional elements is not effective in general, which leads to the direction-dependent mutual coupling (MC). Under this condition, the performance of traditional calibration algorithms suffers. This paper proposes a new self-calibration method based on the time-frequency distributions (TFDs) in the presence of direction-dependent MC. Firstly, the time-frequency (TF) transformation is used to calculate the space-time-frequency distributions (STFDs) matrix of received signals. After that, the estimated steering vector and corresponding noise subspace are estimated by the steps of noise removing, single-source TF points extracting and clustering. Then according to the transformation relationship between the MC coefficients, steering vector and MC matrix, we deduce a set of linear equations. Finally, with two-step alternating iteration, the equations are solved by least square method in order to estimate DOA and MC coefficients. Simulations results show that the proposed algorithm can achieve direction-dependent MC self-calibration and outperforms the existing algorithms.https://www.mdpi.com/1424-8220/19/4/978DOA estimationdirection-dependent mutual couplingtime-frequency distributionself-calibration
spellingShingle Dong Qi
Min Tang
Shiwen Chen
Zhixin Liu
Yongjun Zhao
DOA Estimation and Self-Calibration under Unknown Mutual Coupling
Sensors
DOA estimation
direction-dependent mutual coupling
time-frequency distribution
self-calibration
title DOA Estimation and Self-Calibration under Unknown Mutual Coupling
title_full DOA Estimation and Self-Calibration under Unknown Mutual Coupling
title_fullStr DOA Estimation and Self-Calibration under Unknown Mutual Coupling
title_full_unstemmed DOA Estimation and Self-Calibration under Unknown Mutual Coupling
title_short DOA Estimation and Self-Calibration under Unknown Mutual Coupling
title_sort doa estimation and self calibration under unknown mutual coupling
topic DOA estimation
direction-dependent mutual coupling
time-frequency distribution
self-calibration
url https://www.mdpi.com/1424-8220/19/4/978
work_keys_str_mv AT dongqi doaestimationandselfcalibrationunderunknownmutualcoupling
AT mintang doaestimationandselfcalibrationunderunknownmutualcoupling
AT shiwenchen doaestimationandselfcalibrationunderunknownmutualcoupling
AT zhixinliu doaestimationandselfcalibrationunderunknownmutualcoupling
AT yongjunzhao doaestimationandselfcalibrationunderunknownmutualcoupling