Moving source localization using TOA and FOA measurements with imperfect synchronization

Shi, Jiong; Wang, Gang; Jin, Liping

doi:10.1016/j.sigpro.2021.108113

Cited by 17 publications

(9 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This implies the number of unknown variables is D p T k , where D p represents the spatial dimension of positions. Similar to condition (32), the condition of (34) having a unique solution is to make sure that the rank of EE T is greater than D p T k . The difference is that the LOS measurements redundancy R k is introduced to quantify it as a metric.…”

Section: B Mathematical Modelmentioning

confidence: 99%

“…A Lagrange Programming Neural Network framework to address the problem of estimating the position and velocity of a moving source using range and relative velocity measurements was presented [31]. By exploiting both range and relative velocity measurements, a Weighted Least Square method was formulated to jointly estimate the source position, velocity, clock bias, and clock drift, which was efficiently solved using Semi-Definite Relaxation [32]. While these methods perform well in LOS scenarios, their effectiveness is significantly compromised in NLOS environments or low density deployment of anchors.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Acoustic Indoor Localization Based on Range and Relative Velocity in Non-Line-of-Sight Environment

Zhang,

Wang,

et al. 2024

IEEE Sensors J.

View full text Add to dashboard Cite

This paper investigates a problem of acoustic indoor localization in dense Non-Line-of-Sight (NLOS) environments by using range and relative velocity measurements obtained from received acoustic signals, without the need of additional sensors. The relationship between adjacent positions to be estimated is established by introducing velocity measurements and assuming a first-order motion model. This reduces the number of required Line-of-Sight (LOS) anchors. The principle of the range and relative velocity-based localization method is systematically studied and a basic solution based on a Least Square estimator (LSE) and its closed-form has been proposed. In order to achieve precise localization in dense NLOS environments, a multi-position joint estimation (MPJE) method is proposed. This method involves jointly estimating multiple positions in a short-time position sequence and is solved using a Levenberg-Marquardt (LM) algorithm. A LOS measurements redundancy metric is proposed to balance the localization accuracy and algorithm time cost by adjusting the sequence length. The results obtained from numerical simulations and experimental investigations demonstrate that the proposed range and relative velocity-based localization method outperforms the conventional range-based methods. The number of required LOS anchors for accurate localization is reduced from 3 to 2 for 2D positioning. Additionally, the proposed multi-position joint estimation method requires only 2 LOS anchors and permits the use of only 1 LOS anchor for a short period. This enables its application in dense NLOS environments with a low anchor deployment density, thereby increasing its scene adaptive capability and promotional value.

show abstract

Section: B Mathematical Modelmentioning

confidence: 99%

mentioning

confidence: 99%

Acoustic Indoor Localization Based on Range and Relative Velocity in Non-Line-of-Sight Environment

Zhang,

Wang,

et al. 2024

IEEE Sensors J.

View full text Add to dashboard Cite

show abstract

“…To determine the coordinates of radio emission sources (RES) in most existing ELINT stations, the time difference of arrival (TDOA) method is used, which is the best in terms of accuracy [2,3]. The TDOA method (TDOAM) is implemented by simultaneous reception of signals by spatially separated receiving posts [4,5]. Estimation of the signal delay can be performed in different ways, for example, the spectral processing method [6].…”

Section: Introduction 1motivationmentioning

confidence: 99%

Comparison of two options for building three-coordinate electronic intelligence stations

Kobzev,

Murzin,

Hridasov

2024

reks

View full text Add to dashboard Cite

The subject–coordinate measurement methods in ground electronic intelligence (ELINT) stations. The goal is to conduct a comparative analysis of two options for the composition ground ELINT stations in terms of accuracy of measuring coordinate information. The tasks to be solved are as follows: assessing the accuracy of determining the coordinates of the time difference of arrival method (TDOAМ) and hybrid method (HM); obtaining analytical ratios for estimating the root-mean-square error (RMSE) of the accuracy of measuring the altitude of radio emission sources (RES) of these methods; on the basis of the obtained estimates and analytical ratios, a comparative analysis of the methods, under conditions where the accuracy of the coordinate information obtained by both methods is commensurate; and development of recommendations regarding the practical application of HM coordinate measurements. The methods used are: the theory of measurements and the theory of evaluation of coordinate information. The following results were obtained: a comparative analysis of the TDOAМ and HM was performed according to the RMSE of the determination of plane coordinates and the altitude of the RES. The accuracy assessment was performed in a known way, based on the linearization of the functional dependence between the measured primary parameters (range differences, elevation angle) and spatial coordinates by expanding in a Taylor series with the deduction of the first two terms of the series. Calculations have shown that the presence of the third side station has very little effect on the accuracy of determining plane coordinates. Significant differences appear only in the results of estimating the RMSE of the RES altitude. To compare the methods, analytical relationships were obtained for estimating the RMSE of the altitude measurement. The condition is determined under which the accuracy of determining the altitude for the HM is not worse than that for the TDOAМ (the accuracy is the same). Starting from this value and further, when using the HM, the altitude is determined more accurately. Conclusions. An HM of high-precision determination of 3 coordinates in ELINT stations, based on measuring two distance differences and direction finding (DF) in the elevation plane, can, with a smaller number of side stations (two instead of three), provide accuracy no worse than the known TDOAM. However, this requires that the RMSE value for DF in elevation should be tenths of degrees. The practical application of HM is possible for the issuance of target designations on air defense missile systems radar.

show abstract

“…The predefined points are known as the anchors, while the target refers to the point whose position needs to be estimated. The common measurements are angle of arrival (AOA) [ 14 , 15 , 16 , 17 ], time of arrival (TOA) [ 18 , 19 , 20 ], time difference of arrival (TDOA) [ 21 , 22 ] and received signal strength (RSS) [ 23 , 24 , 25 , 26 , 27 , 28 , 29 ]. However, AOA requires antenna arrays.…”

Section: Introductionmentioning

confidence: 99%

Target Localization in Wireless Sensor Networks Based on Received Signal Strength and Convex Relaxation

Ding

Zhong

Wang

et al. 2022

Sensors

View full text Add to dashboard Cite

A new positioning algorithm based on RSS measurement is proposed. The algorithm adopts maximum likelihood estimation and semi-definite programming. The received signal strength model is transformed to a non-convex estimator for the positioning of the target using the maximum likelihood estimation. The non-convex estimator is then transformed into a convex estimator by semi-definite programming, and the global minimum of the target location estimation is obtained. This algorithm aims at the L0 known problem and then extends its application to the case of L0 unknown. The simulations and experimental results show that the proposed algorithm has better accuracy than the existing positioning algorithms.

show abstract

Moving source localization using TOA and FOA measurements with imperfect synchronization

Cited by 17 publications

References 35 publications

Acoustic Indoor Localization Based on Range and Relative Velocity in Non-Line-of-Sight Environment

Acoustic Indoor Localization Based on Range and Relative Velocity in Non-Line-of-Sight Environment

Comparison of two options for building three-coordinate electronic intelligence stations

Target Localization in Wireless Sensor Networks Based on Received Signal Strength and Convex Relaxation

Contact Info

Product

Resources

About