Minimum Cost Placement of Bistatic Radar Sensors for Belt Barrier Coverage

Wang, Bang; Chen, Jiaoyan; Liu, Wenyu; Yang, Laurence T.

doi:10.1109/tc.2015.2423679

Cited by 38 publications

(12 citation statements)

References 32 publications

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“…Since there is only one barrier, it has a great potential safety hazard for intruder invaders and emergencies. On the basis of this, in [7], the authors discussed the problem of straight-line barrier with a certain width and proposed a corresponding effective solution. Our work is motivated by the first two papers, but differs in several aspects.…”

Section: Related Workmentioning

confidence: 99%

“…For convenience, we set transmitter T1 as the first transmitter with coordinate false(r,0false). Similar to [7], we use S to represent the placement sequence of sensors, for example, S1≐(T1,R1,R2, T2),S2≐(R1,T1,T2,R2), and etc. For two placement sequences false(T,Rfalse) and false(R,Tfalse), they both have the same coverage effect according to the SNR Equation (1) and the characteristics of the Cassini oval line (Figure 1).…”

Section: Sensor Model and Problem Descriptionmentioning

confidence: 99%

“…Some recent works on BR sensor coverage are mainly focused on line barrier. In [7], a minimum cost placement algorithm was developed for line barrier coverage. To improve quality, a belt with a predefined breadth is considered and covered by several same lines.…”

Section: Introductionmentioning

confidence: 99%

“…Secondly, to enhance the coverage quality, we consider an annulus BR sensor barrier with a predefined breadth, which is wider than the breadth of Cassini oval sensing area with minimum threshold of detectability. In [7], the authors study the BR deployment scheme of line barrier and how to construct a belt coverage with predefined width. But how to efficiently segment an annulus ring to several adjacent sub-rings with some appropriate width so as to ensure the minimum cost annulus BR barrier coverage is also challenging.…”

Section: Introductionmentioning

confidence: 99%

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Minimum Cost Deployment of Bistatic Radar Sensor for Perimeter Barrier Coverage

Zhao

et al. 2019

Sensors

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Perimeter barriers can provide intrusion detection for a closed area. It is efficient for practical applications, such as coastal shoreline monitoring and international boundary surveillance. Perimeter barrier coverage construction in some regions of interest with irregular boundaries can be represented by its minimum circumcircle and every point on the perimeter can be covered. This paper studies circle barrier coverage in Bistatic Radar Sensor Network (BRSN) which encircles a region of interest. To improve the coverage quality, it is required to construct a circle barrier with a predefined width. Firstly, we consider a BR deployment problem to constructing a single BR circular barrier with minimum threshold of detectability. We study the optimized BR placement patterns on the single circular ring. Then the unit costs of the BR sensor are taken into account to derive the minimum cost placement sequence. Secondly, we further consider a circular BR barrier with a predefined width, which is wider than the breadth of Cassini oval sensing area with minimum threshold of detectability. We propose two segment strategies to efficiently divide a circular barrier to several adjacent sub-ring with some appropriate width: Circular equipartition strategy and an adaptive segmentation strategy. Finally, we propose approximate optimization placement algorithms for minimum cost placement of BR sensor for circular barrier coverage with required width and detection threshold. We validate the effectiveness of the proposed algorithms through theory analysis and extensive simulation experiments.

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Section: Related Workmentioning

confidence: 99%

Section: Sensor Model and Problem Descriptionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Minimum Cost Deployment of Bistatic Radar Sensor for Perimeter Barrier Coverage

Zhao

et al. 2019

Sensors

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“…Gong et al [6] first studied the optimal placement method for line barrier coverage in BR sensor networks to maximize the worst-case intrusion detectability of the barrier. Wang et al [7] studied the minimum cost BR sensors deployment problem for long belt barrier. They proposed a line-based equipartition placement strategy to realize long belt barrier coverage with a predefined width and detecting threshold.…”

Section: Introductionmentioning

confidence: 99%

Approximate Optimal Deployment of Barrier Coverage on Heterogeneous Bistatic Radar Sensors

Zhao

Cheng

et al. 2019

Sensors

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Heterogeneous Bistatic Radars (BR) have different sensing ranges and couplings of sensing regions, which provide more flexible coverage for the boundary at complex terrain such as across rivers and valleys. Due to the Cassini oval sensing region of a BR and the coupling of sensing regions among different BRs, the coverage problem of BR sensor networks is very challenging. Existing works in BR barrier coverage focus mainly on homogeneous BR sensor networks. This paper studies the heterogeneous BR placement problem on a line barrier to achieve optimal coverage. 1) We investigate coverage differences of the basic placement sequences of heterogeneous BRs on the line barrier, and prove the optimal basic placement spacing patterns of heterogeneous BRs. 2) We study the coverage coupling effect among adjacent BRs on the line barrier, and determine that different placement sequences of heterogeneous BR transmitters will affect the barrier’s coverage performance and length. The optimal placement sequence of heterogeneous BR barrier cannot be solved through the greedy algorithm. 3) We propose an optimal BRs placement algorithm on a line barrier when the heterogeneous BR transmitters’ placement sequence is predetermined on the barrier, and prove it to be optimal. Through simulation experiments, we determine that the different placement sequences of heterogeneous BR transmitters have little influence on the barrier’s maximum length. Then, we propose an approximate algorithm to optimize the BR placement spacing sequence on the heterogeneous line barrier. 4) As a heterogeneous barrier case study, a minimum cost coverage algorithm of heterogeneous BR barrier is presented. We validate the effectiveness of the proposed algorithms through theory analysis and extensive simulation experiments.

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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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Minimum Cost Placement of Bistatic Radar Sensors for Belt Barrier Coverage

Cited by 38 publications

References 32 publications

Minimum Cost Deployment of Bistatic Radar Sensor for Perimeter Barrier Coverage

Minimum Cost Deployment of Bistatic Radar Sensor for Perimeter Barrier Coverage

Approximate Optimal Deployment of Barrier Coverage on Heterogeneous Bistatic Radar Sensors

Bistatic sonobuoy deployment strategies for detecting stationary and mobile underwater targets

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