3-D Moving Target Localization in Multistatic HFSWR: Efficient Algorithm and Performance Analysis

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Publicado en:Remote Sensing vol. 17, no. 11 (2025), p. 1938
Autor principal: Zhang, Xun
Otros Autores: Geng, Jun, Wang, Yunlong, Guo Yijia
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MDPI AG
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100 1 |a Zhang, Xun  |u Research Institute of Electronic Engineering Technology, Harbin Institute of Technology, Harbin 150001, China; kk_zhang@stu.hit.edu.cn (X.Z.); gyj@stu.hit.edu.cn (Y.G.) 
245 1 |a 3-D Moving Target Localization in Multistatic HFSWR: Efficient Algorithm and Performance Analysis 
260 |b MDPI AG  |c 2025 
513 |a Journal Article 
520 3 |a High-frequency surface wave radar (HFSWR) is unable to measure the target’s altitude information due to its limited antenna aperture in the elevation dimension. This paper focuses on the 3-D localization problem for moving targets within the line of sight (LOS) in multistatic HFSWR. For this purpose, the 1-D space angle (SA) measurement is introduced into multistatic HFSWR to perform 3-D joint localization together with bistatic range (BR) and bistatic range rate (BRR) measurements. The target’s velocity can also be estimated due to the inclusion of BRR. In multistatic HFSWR, commonly used azimuth measurements offer no information about the target’s altitude. Since SA is associated with the target’s 3-D coordinates, combining SA measurements from multiple receivers can effectively enhance localization accuracy, particularly in altitude estimation. In this paper, we develop a two-stage localization algorithm that first derives a weighted least-squares (WLS) coarse estimate and then performs an algebraic error reduction (ER) procedure to enhance accuracy. Both stages yield closed-form results, thus ensuring overall computational efficiency. Theoretical analysis shows that the proposed WLS-ER algorithm can asymptotically attain the Cramér–Rao lower bound (CRLB) as the measurement noise decreases. Simulation results demonstrate the effectiveness of the proposed WLS-ER algorithm and highlight the contribution of SA measurements to altitude estimation in multistatic HFSWR. 
653 |a Receivers & amplifiers 
653 |a Lower bounds 
653 |a Altitude 
653 |a Accuracy 
653 |a Cramer-Rao bounds 
653 |a Theoretical analysis 
653 |a Algorithms 
653 |a Line of sight 
653 |a Transmitters 
653 |a Localization 
653 |a Linear equations 
653 |a Velocity 
653 |a Noise measurement 
653 |a Moving targets 
653 |a Surface waves 
653 |a Error reduction 
653 |a Arrays 
700 1 |a Geng, Jun  |u Research Institute of Electronic Engineering Technology, Harbin Institute of Technology, Harbin 150001, China; kk_zhang@stu.hit.edu.cn (X.Z.); gyj@stu.hit.edu.cn (Y.G.) 
700 1 |a Wang, Yunlong  |u Beijing National Research Center for Information Science and Technology, Tsinghua University, Beijing 100084, China; wangyl.2020@tsinghua.org.cn 
700 1 |a Guo Yijia  |u Research Institute of Electronic Engineering Technology, Harbin Institute of Technology, Harbin 150001, China; kk_zhang@stu.hit.edu.cn (X.Z.); gyj@stu.hit.edu.cn (Y.G.) 
773 0 |t Remote Sensing  |g vol. 17, no. 11 (2025), p. 1938 
786 0 |d ProQuest  |t Advanced Technologies & Aerospace Database 
856 4 1 |3 Citation/Abstract  |u https://www.proquest.com/docview/3217746166/abstract/embedded/75I98GEZK8WCJMPQ?source=fedsrch 
856 4 0 |3 Full Text + Graphics  |u https://www.proquest.com/docview/3217746166/fulltextwithgraphics/embedded/75I98GEZK8WCJMPQ?source=fedsrch 
856 4 0 |3 Full Text - PDF  |u https://www.proquest.com/docview/3217746166/fulltextPDF/embedded/75I98GEZK8WCJMPQ?source=fedsrch