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Geometric Algebra based 2D-DOA Estimation for Non-circular Signals with an Electromagnetic Vector Array.

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Title: Geometric Algebra based 2D-DOA Estimation for Non-circular Signals with an Electromagnetic Vector Array.
Authors: Wang, Xiangyang1 (AUTHOR), Feng, Yichen1 (AUTHOR), Lv, Xiaolu1 (AUTHOR), Wang, Rui1 (AUTHOR) rwang@shu.edu.cn
Source: Digital Signal Processing. May2024, Vol. 148, pN.PAG-N.PAG. 1p.
Subjects: Algebra, Statistics, Computational complexity, Signal processing, Vector algebra, Covariance matrices, Parameter estimation
Abstract: This paper presents two novel methods based on geometric algebra (GA) to estimate two-dimensional (2D) direction-of-arrival (DOA) of non-circular (NC) signals for uniform rectangular array (URA). Traditional methods treat the received NC signals as a long vector which will inevitably lose orthogonality inside each electromagnetic vector sensor (EMVS) and thus miss some information of second-order statistical properties. Furthermore, the computational complexity will also increase. By contrast, the GA-based estimating signal parameter via rotational invariance techniques (ESPRIT) and propagation method (PM) algorithms are proposed to estimation DOA of NC signals. Taking advantage of GA, the relationship among multidimensional signals can be maintained. First, the six components of the EMVS are represented as a multivector in GA space. Then, we construct the GA-based extended covariance matrix to utilize the signal information more completely. The DOA parameters can be estimated through the ESPRIT and PM principle. The proposed GA-based estimation of signal parameter via rotational invariance techniques for NC signals processing (GANC-ESPRIT) can estimate DOA with high estimation accuracy. The proposed GA-based propagation method for NC signals estimation (GANC-PM) uses linear transformation to calculate angle parameters. Our model has much lower memory requirements and less computational burden compared with long vector models. Simulation results demonstrate the robustness and superiority of the proposed GANC-ESPRIT algorithm in terms of angular resolution. Complexity analysis shows that the proposed GANC-PM algorithm performances better with less computations. [ABSTRACT FROM AUTHOR]
Copyright of Digital Signal Processing is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 176441162
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  Data: Geometric Algebra based 2D-DOA Estimation for Non-circular Signals with an Electromagnetic Vector Array.
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  Data: <searchLink fieldCode="AR" term="%22Wang%2C+Xiangyang%22">Wang, Xiangyang</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Feng%2C+Yichen%22">Feng, Yichen</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Lv%2C+Xiaolu%22">Lv, Xiaolu</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wang%2C+Rui%22">Wang, Rui</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> rwang@shu.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22Digital+Signal+Processing%22">Digital Signal Processing</searchLink>. May2024, Vol. 148, pN.PAG-N.PAG. 1p.
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  Data: This paper presents two novel methods based on geometric algebra (GA) to estimate two-dimensional (2D) direction-of-arrival (DOA) of non-circular (NC) signals for uniform rectangular array (URA). Traditional methods treat the received NC signals as a long vector which will inevitably lose orthogonality inside each electromagnetic vector sensor (EMVS) and thus miss some information of second-order statistical properties. Furthermore, the computational complexity will also increase. By contrast, the GA-based estimating signal parameter via rotational invariance techniques (ESPRIT) and propagation method (PM) algorithms are proposed to estimation DOA of NC signals. Taking advantage of GA, the relationship among multidimensional signals can be maintained. First, the six components of the EMVS are represented as a multivector in GA space. Then, we construct the GA-based extended covariance matrix to utilize the signal information more completely. The DOA parameters can be estimated through the ESPRIT and PM principle. The proposed GA-based estimation of signal parameter via rotational invariance techniques for NC signals processing (GANC-ESPRIT) can estimate DOA with high estimation accuracy. The proposed GA-based propagation method for NC signals estimation (GANC-PM) uses linear transformation to calculate angle parameters. Our model has much lower memory requirements and less computational burden compared with long vector models. Simulation results demonstrate the robustness and superiority of the proposed GANC-ESPRIT algorithm in terms of angular resolution. Complexity analysis shows that the proposed GANC-PM algorithm performances better with less computations. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of Digital Signal Processing is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.dsp.2024.104459
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        Text: English
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      – SubjectFull: Algebra
        Type: general
      – SubjectFull: Statistics
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      – SubjectFull: Computational complexity
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      – SubjectFull: Signal processing
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      – SubjectFull: Vector algebra
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      – SubjectFull: Covariance matrices
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      – SubjectFull: Parameter estimation
        Type: general
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      – TitleFull: Geometric Algebra based 2D-DOA Estimation for Non-circular Signals with an Electromagnetic Vector Array.
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            NameFull: Wang, Xiangyang
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            – D: 01
              M: 05
              Text: May2024
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              Y: 2024
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              Value: 148
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