Improved Approximation of Sensor Network Performance for Seabed Acoustic Sensors
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910926143225856 |
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| author | Kim, Mingyu Stilwell, Daniel J. Yetkin, Harun Jimenez, Jorge |
| author_facet | Kim, Mingyu Stilwell, Daniel J. Yetkin, Harun Jimenez, Jorge |
| contents | Sensor locations to detect Poisson-distributed targets, such as seabed sensors that detect shipping traffic, can be selected to maximize the so-called void probability, which is the probability of detecting all targets. Because evaluation of void probability is computationally expensive, we propose a new approximation of void probability that can greatly reduce the computational cost of selecting locations for a network of sensors. We build upon prior work that approximates void probability using Jensen's inequality. Our new approach better accommodates uncertainty in the (Poisson) target model and yields a sharper error bound. The proposed method is evaluated using historical ship traffic data from the Hampton Roads Channel, Virginia, demonstrating a reduction in the approximation error compared to the previous approach. The results validate the effectiveness of the improved approximation for maritime surveillance applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_00804 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Improved Approximation of Sensor Network Performance for Seabed Acoustic Sensors Kim, Mingyu Stilwell, Daniel J. Yetkin, Harun Jimenez, Jorge Robotics Information Theory Sensor locations to detect Poisson-distributed targets, such as seabed sensors that detect shipping traffic, can be selected to maximize the so-called void probability, which is the probability of detecting all targets. Because evaluation of void probability is computationally expensive, we propose a new approximation of void probability that can greatly reduce the computational cost of selecting locations for a network of sensors. We build upon prior work that approximates void probability using Jensen's inequality. Our new approach better accommodates uncertainty in the (Poisson) target model and yields a sharper error bound. The proposed method is evaluated using historical ship traffic data from the Hampton Roads Channel, Virginia, demonstrating a reduction in the approximation error compared to the previous approach. The results validate the effectiveness of the improved approximation for maritime surveillance applications. |
| title | Improved Approximation of Sensor Network Performance for Seabed Acoustic Sensors |
| topic | Robotics Information Theory |
| url | https://arxiv.org/abs/2505.00804 |