Convex Solution for Target Localization in Passive MIMO Radar Using Delay, Doppler and Angle Measurements

YANG Jing; LIU Cheng-cheng; HUANG Jie; LI Xia

doi:10.12263/DZXB.20221276

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Convex Solution for Target Localization in Passive MIMO Radar Using Delay, Doppler and Angle Measurements

PAPERS | 更新时间：2025-12-11

- Convex Solution for Target Localization in Passive MIMO Radar Using Delay, Doppler and Angle Measurements
- ACTA ELECTRONICA SINICA Vol. 52, Issue 6, Pages: 2091-2102(2024)
- 作者机构：
  
  1.中国人民解放军战略支援部队信息工程大学数据与目标工程学院,河南郑州 450001
  2.中国人民解放军32738部队,河南郑州 450001
  3.中国人民解放军78090部队,四川成都 610000
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China(62071490);Natural Science Outstanding Youth Fund of Henan province(212300410095)
- DOI：10.12263/DZXB.20221276
  CLC： TN958.97;
- Received：08 November 2022，
  
  Revised：2023-05-08，
  
  Published：25 June 2024
- 稿件说明：
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杨静,刘成城,黄洁,等.联合时延-多普勒-角度的无源雷达目标定位凸优化算法[J].电子学报,2024,52(06):2091-2102.

YANG Jing, LIU Cheng-cheng, HUANG Jie, et al.Convex Solution for Target Localization in Passive MIMO Radar Using Delay, Doppler and Angle Measurements[J].Acta Electronica Sinica, 2024, 52(06): 2091-2102.
杨静,刘成城,黄洁,等.联合时延-多普勒-角度的无源雷达目标定位凸优化算法[J].电子学报,2024,52(06):2091-2102. DOI：10.12263/DZXB.20221276

YANG Jing, LIU Cheng-cheng, HUANG Jie, et al.Convex Solution for Target Localization in Passive MIMO Radar Using Delay, Doppler and Angle Measurements[J].Acta Electronica Sinica, 2024, 52(06): 2091-2102. DOI：10.12263/DZXB.20221276

摘要

针对分布式多输入多输出雷达中联合时延-多普勒-角度测量的运动目标定位问题，提出了一种基于半正定松弛的凸优化定位算法，改善了测量误差较大时定位误差偏离克拉美罗界的阈值效应.首先，将定位问题表述为最大似然估计问题，通过引入辅助变量将定位问题转化为带约束的加权最小二乘优化问题，然后使用半正定松弛技术，转化为半正定规划凸问题，并采用内点法对该凸问题求解得到目标位置和速度估计.由于凸优化问题的局部最优解就是全局最优解，本文算法具有良好的全局收敛性.仿真结果表明，与现有算法相比，本文算法的定位误差逼近克拉美罗下界，在大测量误差水平下的定位精度和稳健性优于现有算法.

Abstract

A convex-optimum localization algorithm based on semidefinite relaxation is proposed for moving target localization from time delay

Doppler shift and angle of arrival measurements in distributed multiple-input multiple-output radar. This algorithm alleviates the threshold effect that the positioning error deviates from the Cramer-Rao lower bound (CRLB) when the measurement error is large. First

the localization problem is formulated as a maximum likelihood estimation problem

which is reformulated as a weighted least squares problem with constraints by introducing auxiliary variables and then a convex semidefinite programming (SDP) problem by performing semidefinite relaxation. The SDP problem is solved efficiently by using the interior-point method to obtain the target position and velocity estimates. Since the local optimal solution of the convex optimization problem is the global optimal solution

the proposed algorithm has good global convergence. Simulation results demonstrate that the proposed algorithm approaches the CRLB

and achieves higher localization accuracy and robustness than existing algorithms at relatively large measurement noise levels.

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references

DONTAMSETTI S G , KUMAR R V R . A distributed MIMO radar with joint optimal transmit and receive signal combining [J ] . IEEE Transactions on Aerospace and Electronic Systems , 2021 , 57 ( 1 ): 623 - 635 .

YUAN Y , YI W , HOSEINNEZHAD R , et al . Robust power allocation for resource-aware multi-target tracking with colocated MIMO radars [J ] . IEEE Transactions on Signal Processing , 2020 , 69 : 443 - 458 .

LU J X , LIU F F , SUN J Y , et al . Joint estimation of target parameters and system deviations in MIMO radar with widely separated antennas on moving platforms [J ] . IEEE Transactions on Aerospace and Electronic Systems , 2021 , 57 ( 5 ): 3015 - 3028 .

NOROOZI A , ALI SEBT M . Target localization in multistatic passive radar using SVD approach for eliminating the nuisance parameters [J ] . IEEE Transactions on Aerospace and Electronic Systems , 2017 , 53 ( 4 ): 1660 - 1671 .

AMIRI R , BEHNIA F , ZAMANI H . Asymptotically efficient target localization from bistatic range measurements in distributed MIMO radars [J ] . IEEE Signal Processing Letters , 2017 , 24 ( 3 ): 299 - 303 .

AMIRI R , BEHNIA F , SADR M A M . Exact solution for elliptic localization in distributed MIMO radar systems [J ] . IEEE Transactions on Vehicular Technology , 2018 , 67 ( 2 ): 1075 - 1086 .

PANWAR K , BABU P , STOICA P . Maximum likelihood algorithm for time-delay based multistatic target localization [J ] . IEEE Signal Processing Letters , 2022 , 29 : 847 - 851 .

NOROOZI A , ALI SEBT M . Algebraic solution for three-dimensional TDOA/AOA localisation in multiple-input-multiple-output passive radar [J ] . IET Radar , Sonar & Navigation, 2018 , 12 ( 1 ): 21 - 29 .

AMIRI R , BEHNIA F , ZAMANI H . Efficient 3-D positioning using time-delay and AOA measurements in MIMO radar systems [J ] . IEEE Communications Letters , 2017 , 21 ( 12 ): 2614 - 2617 .

KAZEMI S A R , AMIRI R , BEHNIA F . Efficient convex solution for 3-D localization in MIMO radars using delay and angle measurements [J ] . IEEE Communications Letters , 2019 , 23 ( 12 ): 2219 - 2223 .

ZHU L X , WEN G J , SONG H B , et al . Robust moving target localization in distributed MIMO radars via iterative Lagrange programming neural network [J ] . IEEE Sensors Journal , 2020 , 20 ( 21 ): 13007 - 13017 .

NOROOZI A , AMIRI R , NAYEBI M M , et al . Efficient closed-form solution for moving target localization in MIMO radars with minimum number of antennas [J ] . IEEE Transactions on Signal Processing , 2020 , 68 : 2545 - 2557 .

ZHANG F R , SUN Y M , ZOU J F , et al . Closed-form localization method for moving target in passive multistatic radar network [J ] . IEEE Sensors Journal , 2020 , 20 ( 2 ): 980 - 990 .

SONG H B , WEN G J , ZHU L X . An approximately efficient estimator for moving target localization in distributed MIMO radar systems in presence of sensor location errors [J ] . IEEE Sensors Journal , 2020 , 20 ( 2 ): 931 - 938 .

KAZEMI S A R , AMIRI R , BEHNIA F . An approximate ML estimator for moving target localization in distributed MIMO radars [J ] . IEEE Signal Processing Letters , 2020 , 27 : 1595 - 1599 .

赵勇胜 , 赵拥军 , 赵闯 , 等 . 一种新的分布式MIMO雷达系统运动目标定位代数解算法 [J ] . 电子与信息学报 , 2018 , 40 ( 3 ): 548 - 556 .

ZHAO Y S , ZHAO Y J , ZHAO C , et al . New algebraic algorithm for moving target localization in distributed MIMO radar systems [J ] . Journal of Electronics & Information Technology , 2018 , 40 ( 3 ): 548 - 556 . (in Chinese)

LI W C , TANG Q , HUANG C F , et al . Location algorithms for moving target in non-coherent distributed multiple-input multiple-output radar systems [J ] . IET Signal Processing , 2017 , 11 ( 5 ): 503 - 514 .

CHAN Y T , HO K C . A simple and efficient estimator for hyperbolic location [J ] . IEEE Transactions on Signal Processing , 1994 , 42 ( 8 ): 1905 - 1915 .

YANG L , YANG L , HO K C . Moving target localization in multistatic sonar using time delays, Doppler shifts and arrival angles [C ] // 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) . Piscataway : IEEE , 2017 : 3399 - 3403 .

WEI Y F , LI W C , TANG Q , et al . A closed-form location algorithm without auxiliary variables for moving target in noncoherent multiple-input and multiple-output radar system [J ] . IEEE Access , 2020 , 8 : 69496 - 69508 .

ALAMDARI E , BEHNIA F , AMIRI R . Conical localization from angle measurements: An approximate convex solution [J ] . IEEE Sensors Letters , 2022 , 6 ( 5 ): 7001404 .

SIDIROPOULOS N D , LUO Z Q . A semidefinite relaxation approach to MIMO detection for high-order QAM constellations [J ] . IEEE Signal Processing Letters , 2006 , 13 ( 9 ): 525 - 528 .

SIDIROPOULOS N D , DAVIDSON T N , LUO Z Q . Transmit beamforming for physical-layer multicasting [J ] . IEEE Transactions on Signal Processing , 2006 , 54 ( 6 ): 2239 - 2251 .

BOYD S . CVX: Matlab software for disciplined convex programming [EB/OL ] . ( 2020-01 )[ 2022-09-01 ] . http://cvxr.com/cvx http://cvxr.com/cvx .

HENRION D , LASSERRE J B . GloptiPoly: Global optimization over polynomials with Matlab and SeDuMi [C ] // Proceedings of the 41st IEEE Conference on Decision and Control . Piscataway : IEEE , 2003 : 747 - 752 .

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