Moving Target Localization in Multistatic Sonar by Differential Delays and Doppler Shifts

Yang, Liu; Yang, Le; Ho, K. C.

doi:10.1109/lsp.2016.2582043

Cited by 75 publications

(29 citation statements)

References 20 publications

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“…Our simulations are divided into four subsections. Section 7.1 compares the error covariance matrix of our estimator with HCRB and the ones of two typical estimators, i.e., the spherical-interpolation initialized Taylor series method (SI-TS) [28,45] and TS-WLS [5]. Then, surface plots of the biases are shown in Section 7.2.…”

Section: Resultsmentioning

confidence: 99%

“…In recent years, there has been a lively interest in target location using multistatic sonars [1][2][3][4][5][6][7][8][9][10][11][12][13]. In a multistatic sonar system, the sum of each pair of transmitter-target range and target-receiver range defines an ellipse.…”

Section: Introductionmentioning

confidence: 99%

“…Intuitively, integrating other kinds of observations helps improve the positioning accuracy. For instance, the Doppler shift measurements were incorporated to improve the position estimate and identify the velocity additionally [5].…”

Section: Introductionmentioning

confidence: 99%

“…Preliminary work considering sensor location errors in elliptical location was reported in the literature [6,10,13]. Recent advances have seen an efficient non-iterative estimator for the multistatic sonar location [5,6] inspired by the renowned work of [31].…”

Section: Introductionmentioning

confidence: 99%

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Design and Analysis of a Non-Iterative Estimator for Target Location in Multistatic Sonar Systems with Sensor Position Uncertainties

Wang

Yang

et al. 2020

Mathematics

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Target location is the basic application of a multistatic sonar system. Determining the position/velocity vector of a target from the related sonar observations is a nonlinear estimation problem. The presence of possible sensor position uncertainties turns this problem into a more challenging hybrid parameter estimation problem. Conventional gradient-based iterative estimators suffer from the problems of initialization difficulties and local convergence. Even if there is no problem with initialization and convergence, a large computational cost is required in most cases. In view of these drawbacks, we develop a computationally efficient non-iterative position/velocity estimator. The main numerical computation involved is the weighted least squares optimization, which makes the estimator computationally efficient. Parameter transformation, model linearization and two-stage processing are exploited to prevent the estimator from iterative computation. Through performance analysis and experimental verification, we find that the proposed estimator reaches the hybrid Cramér–Rao bound and has linear computational complexity.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Design and Analysis of a Non-Iterative Estimator for Target Location in Multistatic Sonar Systems with Sensor Position Uncertainties

Wang

Yang

et al. 2020

Mathematics

Self Cite

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“…Another kind of localization methods are nonlinear estimation, such as maximum likelihood estimation (MLE) [24] and the closed-form solutions [20,25,26] based on least squares (LS) or weighted LS. However, often only the measurement error is considered in causing the errors on the location estimate [27,28]. The extension of localization algorithms to account for inaccurate sensor positions [20,29,30] or spatiotemporal variation of sound speed [31,32] has also been investigated.…”

Section: Introductionmentioning

confidence: 99%

Accurate Closed-Form Solution for Moving Underwater Vehicle Localization Using Two-Way Travel Time

et al. 2020

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Position information is essential for an underwater vehicle that can affect the performance of many other applications. Vehicle motion during the two-way travel time (TWTT) using an acoustic positioning system can affect the localization accuracy of the estimators based on the traditional static model. A new time measurement model for moving vehicle localization is presented, which compensates for the vehicle motion. The Cramér–Rao lower bounds (CRLBs) of the proposed model are derived for two different cases, where the depth of the underwater vehicle is unknown or known. Then, closed-form solutions for the two cases using the proposed model are derived and the solutions are shown analytically to reach the CRLBs. Simulations collaborate the theoretical performance of the proposed estimators and the moving model significantly improves the localization accuracy in comparison with the static model.

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Bistatic sonobuoy deployment strategies for detecting stationary and mobile underwater targets

Karataş

Craparo

Akman

2018

Naval Research Logistics

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The problem of determining effective allocation schemes of underwater sensors for surveillance, search, detection, and tracking purposes is a fundamental research area in military operations research. Among the various sensor types, multistatic sonobuoy systems are a promising development in submerged target detection systems. These systems consist of sources (active sensors) and receivers (passive sensors), which need not be collocated. A multistatic sonobuoy system consisting of a single source and receiver is called a bistatic system. The sensing zone of this fundamental system is defined by Cassini ovals. The unique properties and unusual geometrical profile of these ovals distinguish the bistatic sensor allocation problem from conventional sonar placement problems. This study is aimed at supporting decision makers in making the best use of bistatic sonobuoys to detect stationary and mobile targets transiting through an area of interest. We use integral geometry and geometric probability concepts to derive analytic expressions for the optimal source and receiver separation distances to maximize the detection probability of a submerged target. We corroborate our analytic results using Monte Carlo simulation. Our approach constitutes a valuable "back of the envelope" method for the important and difficult problem of analyzing bistatic sonar performance.

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Moving Target Localization in Multistatic Sonar by Differential Delays and Doppler Shifts

Cited by 75 publications

References 20 publications

Design and Analysis of a Non-Iterative Estimator for Target Location in Multistatic Sonar Systems with Sensor Position Uncertainties

Design and Analysis of a Non-Iterative Estimator for Target Location in Multistatic Sonar Systems with Sensor Position Uncertainties

Accurate Closed-Form Solution for Moving Underwater Vehicle Localization Using Two-Way Travel Time

Bistatic sonobuoy deployment strategies for detecting stationary and mobile underwater targets

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