Auto-localization algorithm for local positioning systems

Guevara, J.; Jiménez, Antonio R.; Prieto, José Carlos Sánchez; Seco, Fernando

doi:10.1016/j.adhoc.2012.02.003

Cited by 23 publications

(32 citation statements)

References 18 publications

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“…According to Guevara et al [10] the convergence of optimization algorithms and Bayesian methods depend heavily on initial conditions used and they circumvent the convergence problem by linearizing the trilateration equations. Fig.…”

Section: A Coordinates Of the Sensorsmentioning

confidence: 99%

“…However, the degree-of-freedom analysis does not guarantee a unique solution in a system on nonlinear equations, such as trilateration, when the only data available is the distance measured between the nodes [9]. In [10], Guevara et al introduced a new closed-form solution where no position information of nodes is required to determine the positions of multiple static beacon nodes, the only information they used is the distance measurement between static beacons and mobile node.…”

Section: Introductionmentioning

confidence: 98%

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Coordinates Determination of Submerged Sensors Using Cayley-Menger Determinant

Rahman

Muthukkumarasamy

Sithirasenan

2013

2013 IEEE International Conference on Distributed Computing in Sensor Systems

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This paper investigates the problem of localizing submerged sensors and provides a new mechanism to determine the coordinates of those sensors using only one beacon node. In underwater wireless sensor networks (UWSN), precise coordinate of the sensors that actuate or collect data is vital, as data without the knowledge of its actual origin has limited value. Mostly, multilateration technique is used to determine the location of the sensors with respect to three or more known beacon nodes where distance between them is measured considering the roundtrip time of acoustic signal. However, this method of measuring distances gives erroneous results due to a number of factors, including relative angular stand of the nodes. In this study, a new method of determining the underwater distances between beacon and sensor nodes has been presented using combined radio and acoustic signals, which has better immunity from multipath fading. Moreover, Cayley-Menger determinant is used to determine the coordinates of the nodes where none of nodes have a priori knowledge about its location. Simulation results validate the proposed mathematical models by computing coordinates of sensor nodes with negligible errors.

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Section: A Coordinates Of the Sensorsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Coordinates Determination of Submerged Sensors Using Cayley-Menger Determinant

Rahman

Muthukkumarasamy

Sithirasenan

2013

2013 IEEE International Conference on Distributed Computing in Sensor Systems

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“…to determine locations or coordinates, in partial or full. In [4], Guevara et al showed that initial condition is vital for the convergence of optimization algorithms; where they linearized the nonlinear equations and bypassed associated convergence problem. Fig.…”

Section: B Coordinates Of the Sensors(origing At The Sensor)mentioning

confidence: 99%

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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“…The trilateration algorithm is widely used in localization systems and algorithms, such as the dynamic triangulation method using wireless pyroelectric infrared sensors and the autolocalization algorithm using trilateration for mobile localization [6,7]. The Least-Square (LS) method is one of the typical localization methods.…”

Section: Introductionmentioning

confidence: 99%

A study of a less sensitive positioning method to forms of AP placements

Gim

Hong

Lee

2012

The First International Conference on Future Generation Communication Technologies

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This paper suggests the barycentric coordinates using closed-points (BCCP) algorithm to minimize the localization error caused by the forms of AP placements. The localization errors are analyzed for the two general forms of AP placements, which are triangular and straight-lined forms, considering various ranging errors. The analysis results of the proposed BCCP algorithm are compared with the Least-Square method for the performance analysis of the BCCP algorithms. As a result, the localization results have an average distance error of 48.8 m for applying the Least-Square method, and an average distance error of 4.28 m is obtained for the localization using the BCCP algorithm.

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Auto-localization algorithm for local positioning systems

Cited by 23 publications

References 18 publications

Coordinates Determination of Submerged Sensors Using Cayley-Menger Determinant

Coordinates Determination of Submerged Sensors Using Cayley-Menger Determinant

Embracing Localization Inaccuracy with a Single Beacon

A study of a less sensitive positioning method to forms of AP placements

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