Direct Position Determination of Non-Circular Sources for Multiple Arrays via Weighted Euler ESPRIT Data Fusion Method

In recent years, direct position determination (DPD) with multiple arrays for non-circular (NC) signals is a hot topic to research. Conventional DPD techniques with spectral peak search methods have high computational complexity and are sensitive to the locations of the observation stations. Besides...

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Main Authors: Xinlei Shi, Xiaofei Zhang, Haowei Zeng
Format: Article
Language:English
Published: MDPI AG 2022-02-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/12/5/2503
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author Xinlei Shi
Xiaofei Zhang
Haowei Zeng
author_facet Xinlei Shi
Xiaofei Zhang
Haowei Zeng
author_sort Xinlei Shi
collection DOAJ
description In recent years, direct position determination (DPD) with multiple arrays for non-circular (NC) signals is a hot topic to research. Conventional DPD techniques with spectral peak search methods have high computational complexity and are sensitive to the locations of the observation stations. Besides, there will be loss when the signal propagates in the air, which leads to different received signal-to-noise ratios (SNRs) for each observation station. To attack the problems mentioned above, this paper derives direct position determination of non-circular sources for multiple arrays via weighted Euler estimating signal parameters viarotational invariance techniques (ESPRIT) data fusion (NC-Euler-WESPRIT) method. Firstly, elliptic covariance information of NC signals and Euler transformation are used to extend the received signal. Secondly, ESPRIT is applied to avoid the high-dimensional spectral function search problem of each observation station. Then, we combine the information of all observation stations to construct a spectral function without complex multiplication to reduce the computational complexity. Finally, the data of each observation station is weighted to compensate for the projection error. The consequence of simulation indicates that the proposed NC-Euler-WESPRIT algorithm not only improves the estimation performance, but also greatly reduces the computational complexity compared with subspace data fusion (SDF) technology and NC-ESPRIT algorithm.
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spelling doaj.art-9daa9f631fd540a79f946018609af72a2023-11-23T22:41:53ZengMDPI AGApplied Sciences2076-34172022-02-01125250310.3390/app12052503Direct Position Determination of Non-Circular Sources for Multiple Arrays via Weighted Euler ESPRIT Data Fusion MethodXinlei Shi0Xiaofei Zhang1Haowei Zeng2College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, ChinaCollege of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, ChinaCollege of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, ChinaIn recent years, direct position determination (DPD) with multiple arrays for non-circular (NC) signals is a hot topic to research. Conventional DPD techniques with spectral peak search methods have high computational complexity and are sensitive to the locations of the observation stations. Besides, there will be loss when the signal propagates in the air, which leads to different received signal-to-noise ratios (SNRs) for each observation station. To attack the problems mentioned above, this paper derives direct position determination of non-circular sources for multiple arrays via weighted Euler estimating signal parameters viarotational invariance techniques (ESPRIT) data fusion (NC-Euler-WESPRIT) method. Firstly, elliptic covariance information of NC signals and Euler transformation are used to extend the received signal. Secondly, ESPRIT is applied to avoid the high-dimensional spectral function search problem of each observation station. Then, we combine the information of all observation stations to construct a spectral function without complex multiplication to reduce the computational complexity. Finally, the data of each observation station is weighted to compensate for the projection error. The consequence of simulation indicates that the proposed NC-Euler-WESPRIT algorithm not only improves the estimation performance, but also greatly reduces the computational complexity compared with subspace data fusion (SDF) technology and NC-ESPRIT algorithm.https://www.mdpi.com/2076-3417/12/5/2503non-circular sourcesmultiple arraysdirect position determinationEuler transformationweighted
spellingShingle Xinlei Shi
Xiaofei Zhang
Haowei Zeng
Direct Position Determination of Non-Circular Sources for Multiple Arrays via Weighted Euler ESPRIT Data Fusion Method
Applied Sciences
non-circular sources
multiple arrays
direct position determination
Euler transformation
weighted
title Direct Position Determination of Non-Circular Sources for Multiple Arrays via Weighted Euler ESPRIT Data Fusion Method
title_full Direct Position Determination of Non-Circular Sources for Multiple Arrays via Weighted Euler ESPRIT Data Fusion Method
title_fullStr Direct Position Determination of Non-Circular Sources for Multiple Arrays via Weighted Euler ESPRIT Data Fusion Method
title_full_unstemmed Direct Position Determination of Non-Circular Sources for Multiple Arrays via Weighted Euler ESPRIT Data Fusion Method
title_short Direct Position Determination of Non-Circular Sources for Multiple Arrays via Weighted Euler ESPRIT Data Fusion Method
title_sort direct position determination of non circular sources for multiple arrays via weighted euler esprit data fusion method
topic non-circular sources
multiple arrays
direct position determination
Euler transformation
weighted
url https://www.mdpi.com/2076-3417/12/5/2503
work_keys_str_mv AT xinleishi directpositiondeterminationofnoncircularsourcesformultiplearraysviaweightedeulerespritdatafusionmethod
AT xiaofeizhang directpositiondeterminationofnoncircularsourcesformultiplearraysviaweightedeulerespritdatafusionmethod
AT haoweizeng directpositiondeterminationofnoncircularsourcesformultiplearraysviaweightedeulerespritdatafusionmethod