Coordinates Determination of Submerged Sensors Using Cayley-Menger Determinant

Rahman, Anisur; Muthukkumarasamy, Vallipuram; Sithirasenan, Elankayer

doi:10.1109/dcoss.2013.62

Cited by 14 publications

(11 citation statements)

References 11 publications

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“…The complexity of the simulated environment is discussed as well as positional errors for sensors have been elaborated in Table III. In [6], coordinates of the sensors with respect to beacon has been shown. With the simulated environment, it is possible to determine 3D coordinates of the sensors with bearing information; as the beacon is at the surface of the water, the coordinates could be known by GPS.…”

Section: Simulation Resultsmentioning

confidence: 99%

“…Guevara et al proposed a closed-form method where positions of nodes are not required to localize multiple static reference nodes in [4]; distances between mobile nodes and static reference nodes are sufficient for the proposed method. Recently, the preciseness of the model with Euclidean distances between beacon and sensors has been elaborated in [6]. The paper showed that the produced negligible errors were due to linearization process of the method.…”

Section: Related Workmentioning

confidence: 99%

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Embracing Localization Inaccuracy with a Single Beacon

Rahman¹,

Muthukkumarasamy²

2019

IJACSA

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This paper illustrates a new mechanism to determine the coordinates of the sensors using a beacon node and determines the definitive error associated with it. In UWSNs (underwater wireless sensor networks), actual and precise location of the deployed sensors which accumulate data is vital, because the accumulated data without the location information has less significance. Moreover it has limited value in the domain of location based services. In UWSN, trilateration or multilateration is exploited to assess the location of the deployed hosts; having three or more reference nodes to localize a deployed sensor is not pragmatic at all. On the other hand, nonlinear equations are usually solved in conventional method where degree-of-freedom is uncertain to lead to an exclusive solution. In this paper, associated localization inaccuracies has been shown for a unique configuration where a single beacon is used to determine the coordinates of three deployed sensors simultaneously. Cayley-Menger determinant is used for the configuration and system of nonlinear distance equations have been linearized for better accuracy and convergence. Simulations with Euclidean distances validate the propounded model and reflect the acquired accuracies in sensors' coordinates and bearings. Moreover, an experiment has been conducted with ultrasonic sensors in terrestrial environments to validate the proposed model; the associated inaccuracies were found to be generated from the distance measurement errors; on the other hand, considering Euclidean distances proves the model to be precise and accurate.

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Section: Simulation Resultsmentioning

confidence: 99%

Section: Related Workmentioning

confidence: 99%

Embracing Localization Inaccuracy with a Single Beacon

Rahman¹,

Muthukkumarasamy²

2019

IJACSA

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“…In order to validate the mathematical model, the proposed method has been simulated using Matlab in the previous paper [11]. To get distance measurement from six different positions of the beacon, it has been moved around in six different coordinates randomly within close proximity.…”

Section: Simulation Results and Discussionmentioning

confidence: 99%

Localization of Submerged Sensors with a Single Beacon for Non-Parallel Planes State

Rahman

Muthukkumarasamy

2018

2018 Tenth International Conference on Ubiquitous and Future Networks (ICUFN)

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This paper delineates a new method of determining the coordinates of sensors with a single beacon for the parallel and non-parallel state situations. Mostly, Cayley-Menger determinant is used when the beacon and deployed sensors are in the state of parallel planes. However, we have proposed a mathematical model to compute the coordinates of the submerged sensors even though when these sensors and beacon are in non-parallel state configuration. As the knowledge of precise coordinates of the sensors is as important as the collected data in UWSN, the accurate distance measurement between the nodes is the prime factor for better accuracy. The proposed mathematical model of coordinate-determination has better immunity from multipath fading as well as linearization process of non-linear equations results precise location of the sensors. Moreover, a single beacon is used to determine the coordinates of the sensor nodes where none of them has a priori knowledge about its location.

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“…All these and many other practical factors make underwater systems behave very differently from the conventional environment. Typical cases are underwater surveillance, marine ecology, and offshore exploration [6]. • Extending the use of smart sensors in the ground, hidden, or covered in other places can enable many new and advanced applications such as securing mines and improved agriculture where such uses of strong cover create EE conditions [7].…”

Section: B Unconventional Wireless Sensingmentioning

confidence: 99%

Wireless Sensor Systems for Space and Extreme Environments: A Review

et al. 2014

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Using wireless sensor network (WSN) for building new sensing and actuating applications in space and extreme environments (SEEs) can fuel a new application paradigm if it can be adopted into a new strategy. This complementary contribution from the Guest Editors carries an important message of breaking away from conventional WSN research and developments and adopting a heterogeneous agile unconventional wireless sensing (UWS) approach deployment. For this, we urge the use of lightweight WSN known as wireless sensor systems (WSS) to develop optimized solutions for SEE. This paper also discusses some critical technologies of WSS-SEE and includes three key aspects of a new approach to examine: 1) the characterizes of SEE; 2) potential applications of UWS; and 3) heterogeneously nature of the applications. A further clarification for deployment of UWS is demonstrated using a table with six groups of typical application areas from the recent publications media. Index Terms-Wireless sensing, wireless sensor systems, WSN, space, extreme environments, unconventional wireless sensing (UWS), heterogeneous sensor systems.

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Coordinates Determination of Submerged Sensors Using Cayley-Menger Determinant

Cited by 14 publications

References 11 publications

Embracing Localization Inaccuracy with a Single Beacon

Embracing Localization Inaccuracy with a Single Beacon

Localization of Submerged Sensors with a Single Beacon for Non-Parallel Planes State

Wireless Sensor Systems for Space and Extreme Environments: A Review

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